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1	Complex Analysis	ABS-42
Lieb^s Inequality for Quaternion Linear Canonical S-Transform Dahnial Damang, Mawardi Bahri, Nasrullah Bahtiar, Syamsuddin Toaha Hasanuddin University Abstract In this work, we introduce the quaternion linear canonical S-transform, which is a generalization ofthe linear canonical S-transform using quaternion. We collect its properties. We then present the relation between QLCT and QLCST. We utilize properties and relation for establishing lieb^s inequality for the quaternion linear canonical S-Transform. Keywords: quaternion linear canonical transform, S-transform, lieb^s inequality, quaternion Share Link | Plain Format | Corresponding Author (Dahnial Damang)

2	Complex Analysis	ABS-44
The Initial Coefficients for Bazilevic Functions Defined by q-Fractional Derivative Saadatul Fitri, Marjono, and Ratno Bagus Edy Wibowo Department of Mathematics, Universitas Brawijaya, Malang, Indonesia Abstract Let -S- be the class of analytic functions -f- in -\mathbb{D}=\{z: |z|< 1\}- with -f(z)=z+\sum_{n=2}^{\infty}a_{n}z^{n}-. We investigate the subclass of Bazilevi{\v c} functions defined by, --\Omega^q f(z)=\Gamma(2-q) z^q D_z ^q f(z),-- where -\Omega ^q- be operator on -S- and -D_z ^q f- is the -q--fractional derivative of -f-. For -\alpha\ge 0- and -0\le q<1-, let -\mathcal{B}_1^q (\alpha,\lambda)- denote the class of Bazilevi{\v c} functions satisfying --\left| \dfrac {z^{1-\alpha}(\Omega^q f(z))^}{(\Omega^q f(z))^{1-\alpha}}-1\right| <\lambda. -- The class -\mathcal{B}_1^q (\alpha,\lambda)- generalizes the class -\mathcal{B}_1 (\alpha,\lambda)- which introduced by Ponnusamy and Singh in 1996\cite{singh}. Sharp estimates for the first few coefficients of function in -\mathcal{B}_1^q (\alpha,\lambda)- are given. Keywords: Analytic functions, Bazilevic functions, q-fractional derivative, initial coefficients. Share Link | Plain Format | Corresponding Author (Saadatul Fitri)

3	Complex Analysis	ABS-60
Starlikeness for Analytic Function Rahmalia Firdausi Tamara Universitas Brawijaya Abstract This research discusses the sufficient conditions for the starlikeness of an analytic function. We generalized the values by adding the parameter \(\beta\) to \(A\), such that become \(A(\beta)\) for \(0<\beta\leq1\). The proof process involves the use of several lemmas, such as the Miller-Mocanu Lemma, Clunie-Jack Lemma, and combinatorics lemma. By using simple computation, we obtained \(A(0)=2.6061\), which is an improvement from Miller-Mocanu^s journal with \(A=2\) and Nunokawa-Thomas with \(A=2.5159\). In addition to \(\beta=0\), we choose \(\beta=1/2\), such that \(A(1/2)=1.1405\). Keywords: Analytic function, starlike function, sufficient condition Share Link | Plain Format | Corresponding Author (Rahmalia Firdausi Tamara)

4	Complex Analysis	ABS-94
Hankel Determinant on the Class of Bazilevic Functions Related to Bernoulli Lemniscate Marjono, Sa^adatul Fitri, Ratno Bagus, E.W., and Ni Made Asih 1 Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia- 2 Department of Mathematics, Faculty of Mathematics and Natural Sciences, Univesity of Udayana, Indonesia. Abstract In this research, we find the Hankel Determinant for the class Bazilevic Function B1(alpha,delta) related to the Bernoulli Lemniscate function on D = {z : |z| < 1}. We obtain the upper bounds of the determinant H2(1), H2(2), and H2(1) by considering its invers function. We used the Charateodory-Toeplitz Lemma about sharp inequalities for functions with positive real part. Keywords: Bazilevic functions, Bernoulli Lemniscate, Subordination, Hankel determinant Share Link | Plain Format | Corresponding Author (- Marjono, MPhil.)

5	Educational Aspects of Analysis	ABS-106
Using Monotone Sequence of Functions to Determine the Shortest Arc Length of Circles Connected Any Two Points on Sphere Muhammad Kabil Djafar (a*), Laode Safiuddin (b), Azwar Dandi Saputra (a) a). Mathematical Department, Faculty of Mathematics and Natural Sciences, Halu Oleo University, Kendari, 92321, Indonesia *) muh.kabiljafar[at]uho.ac.id b). Department of Physical Education, Faculty of Teaching and Educational Science, Halu Oleo University, Kendari, 92321, Indonesia Abstract This paper discusses about arc length of circles that connected any two points on sphere. There are infinitely many of circles that connected any two points on sphere. Using monotone sequence of functions, we can show that the shortest arc length of circle that connected any two points on sphere is the circle with the center at the origin. Keywords: arc length, monotone sequence, bounded sequence Share Link | Plain Format | Corresponding Author (Muhammad Kabil Djafar)

6	Educational Aspects of Analysis	ABS-132
A Note About Approximation of A Square Root Eridani and Muchammad Yusuf Syaifuddin Department mathematics, Universitas Airlangga, Surabaya, Indonesia Abstract After we state The Mean Value Theorem, we implement the result to approximate the value of square root of two. If we consider accuration of our approximation, then we can choose the intervals of function to make the accuration increase. Keywords: Mean Value Theorem, square root. Share Link | Plain Format | Corresponding Author (Muchammad Yusuf Syaifuddin)

7	Functional Analysis	ABS-3
Elliptical support with minimal boundary data Agah D. Garnadi Ronin Mathematician Abstract We consider the problem of determining the interface separating regions of constant density within a body, given only boundary measurements of the corresponding potential equation [1]. This inverse problem, which arises in gravimetry, aims to find an internal domain, D, within a reference domain,-\Omega-, based on external boundary measurements of the gravitational force. Isakov & Titi [2] showed that, in practical situations with noisy data, five parameters of the unknown domain D can be stably determined. An ellipse, for example, can be uniquely identified using five parameters. They proved the uniqueness and stability of recovering an ellipse in this inverse problem using minimal data at just three boundary points of potential measurement at the boundary. For simplicity, we will addresses the problem in two dimensions (the plane) as a model [3]. We will present numerical examples with point measurements taken on the boundary of -\Omega-- (-\partial \Omega-). References [1] Ring, W., 1995. Identification of a core from boundary data. SIAM Journal on Applied Mathematics, 55(3), pp.677-706. [2] Isakov, V. and Titi, A., 2022. On the inverse gravimetry problem with minimal data. Journal of Inverse and Ill-posed Problems, 30(6), pp.807-822. [3] Agah D. Garnadi, A Lepskij-type stopping rule for simplified iteratively regularized Gauss-Newton method, The 6th SEAMS-UGM Conference 2011, p.317--322. Keywords: Inverse Problem, Support Identification Share Link | Plain Format | Corresponding Author (Agah Drajat Garnadi)

8	Functional Analysis	ABS-5
Implementation of \(q\)-Wavelet Transform on Image Compressions Dzaky Muhammad, Kistosil Fahim (*), Mahmud Yunus, Sunarsini Department of Mathematics, Institut Teknologi Sepuluh Nopember, Kampus ITS Sukolilo, Surabaya 60111, Indonesia Abstract Quantum calculus, or \(q\)-calculus, is a new branch in mathematics field. The \(q\)-calculus is more general than the ordinary calculus, since it uses a \(q\) number to define a mathematical object on it. One kind of property that \(q\)-calculus provided is if \(q\) number is very close to one, then the mathematical objects behave like its ordinary version. Such phenomenom is called as \(q\)-analogue. Now days \(q\)-calculus still be considered as an active research. Some of researchers have work on theoretically which is they concern about deriving some properties or establishing new \(q\)-analogues. Strictly speaking, now we focus on how to implement \(q\)-analogue of wavelet transform in a real world case. Even though \(q\)-wavelet transform has been discussed by Fitouhi and Bettaibi in 2006, actually we find out that it cannot be implemented flatly. Because of they only concern on \(q\)-analogue of the continuous form along with its properties and we consider that is still hardly to actualized them computationally. Fortunately, in 2024 Fahim et al already have made \(q\)-analogue of discrete wavelet transform, which they specifically adopt derivatization of the Haar wavelet. In this paper we engage it on to image compression scheme and compare the result against using the classic version. We suppose that it gives a good result as well like the classic version gives. Also the result may get more vary, since existence of interchangeably \(q\) number. Keywords: \(q\)-Calculus- \(q\)-Wavelet- Image compression Share Link | Plain Format | Corresponding Author (Dzaky Muhammad)

9	Functional Analysis	ABS-6
On Existence and Uniqueness Solution of Heat Equations in Quasi-Metric Spaces Ahmad Hisbu Zakiyudin, Kistosil Fahim (*), Mahmud Yunus, Sunarsini, I Gst Ngr Rai Usadha, Sadjidon Department of Mathematics, Institut Teknologi Sepuluh Nopember, Kampus ITS Sukolilo, Surabaya 60111, Indonesia Abstract In this paper, we prove the existence and uniqueness of solutions of heat equations in quasi-metric spaces by applying the \(\phi G-\)contraction in the setting of quasi-metric spaces. This type of contraction is analogous to \(\psi F\)-contraction which is introduced by Secelean et al. in 2019. In the \(\psi F\)-contraction, we have \(F:\mathbb{R}^+\rightarrow \mathbb{R}\) is an increasing mapping and \(\psi:(-\infty,\mu)\rightarrow \mathbb{R}\) for some \(\mu\) in \(\mathbb{R}^+\cup\{\infty\}\) is an increasing and continuous function such that \(\psi(t)<t\) for every \(t\) in \((-\infty, \mu)\). Meanwhile, in the \(\phi G\)-contraction, we have \(G\) is a strictly increasing mapping from \(\mathbb{R}^+\cup \{0\}\) to \(\mathbb{R}^+\cup \{0\}\). Also \(\phi:(-\infty,\mu)\rightarrow \mathbb{R}^+\cup\{0\}\) is a strictly increasing and continuous mapping such that \(\phi(t)<t\) for all \(t\) and \(\phi(0)=0\). Keywords: Fixed point theories- Heat equations- Quasi-metric spaces Share Link | Plain Format | Corresponding Author (Ahmad Hisbu Zakiyudin)

10	Functional Analysis	ABS-15
Eigenvalues of Volterra Operator Dian Maharani (a*), Hairur Rahman (a), Fresy Nugroho (b), Tri Mukti Lestari (c), I.G.P. Asto Buditjahjanto (d), Dwi Pebrianti (e), Jehad A.H. Hammad (f), Moch Fachri (g) a) Mathematics Department, UIN Maulana Malik Ibrahim Malang, Malang. Indonesia *dian.maharani[at]mat.uin-malang.ac.id b) Mechanical Engineering, UIN Maulana Malik Ibrahim Malang, Malang, Indonesia c) Informatics Engineering, UIN Maulana Malik Ibrahim Malang, Malang, Indonesia d) State University of Surabaya, Surabaya, Indonesia e) Mechanical Aerospace Engineering, International Islamic University Malaysia, Kuala Lumpur, Malaysia f) Computer Information System, Al Quds Open University, Abu Dis, Palestine g) Faculty of Engineering, Universitas Krisnadwipayana, Jakarta, Indonesia Abstract Integral equations frequently appear in many mechanics problems. Several of them are grouped based on the location of an unknown function or the integration interval. Here we have a boundary problem that will be rearranged into Volterra integral equation. From this equation, the integral operator (namely the Volterra operator) will be developed by determining the kernel. Then the eigenvalues of this operator will be sought. Keywords: Volterra Integral Equation- Kernel- Volterra Operator- Eigenvalues Share Link | Plain Format | Corresponding Author (Dian Maharani)

11	Functional Analysis	ABS-17
On Countability and Separability of the Unbounded Norm Topology Generated by Ideals Fahreezan Sheraz Diyaldin and Made Tantrawan Universitas Gadjah Mada Abstract In the paper of Kandic and Vavpetic (2023), it has been proved that separability and second countability of the unbounded norm topology are equivalent. In this talk, we show that the equivalence may fail when the unbounded norm topology is replaced by the unbounded norm topology generated by some order ideals. Further, we provide a necessary and sufficient condition on when the equivalence holds for unbounded norm topology generated by an ideal of a norm lattice. Keywords: unbounded norm topology, separability, second countability, norm lattices Share Link | Plain Format | Corresponding Author (Made Tantrawan)

12	Functional Analysis	ABS-28
Structure of Generalized Vector Metric Spaces D. Vinsensia(1), E .Herawati(2*),Supama(3), S.Suwilo(4) (1) Graduate School of Mathematics, Universitas Sumatera Utara Medan 20155, Indonesia. (1) Manajemen Informatics,STMIK Pelita Nusantara, Medan, Indonesia, desivinsensia87[at]gmail.com (2*,4) Department of Mathematics, Universitas Sumatera Utara Medan 20155, Indonesia *elvina[at]usu.ac.id, (4) Saib Suwilo (4) Department of Mathematics,Gadjah Mada University,Yogyakarta, supama[at]ugm.ac.id Abstract In this paper, we propose a general idea the distance of three point which generalized the Riesz space valued called GE -metric space. Fundamental properties and several examples for GE-metric are given. Moreover, the convergence of sequences on GE-metric and topology on GE-metric are studied. Keywords: Generalized vector metric Space- Riesz space- Convergence-Topology Share Link | Plain Format | Corresponding Author (Desi Vinsensia)

13	Functional Analysis	ABS-29
Some Fixed-Point Theorems on Quasi M -Metric Spaces Rofiud Darojad, Christiana Rini Indrati Department of Mathematics, Universitas Gadjah Mada, Indonesia Abstract In this paper, it will be discussed a metric that is constructed based on a quasi M -metric and a new definition of Cauchy sequences in quasi M -metric spaces. The discussion will be continued by giving a relationship between completeness in the quasi M -metric space and the constructed metric space. Furthermore, it will be developed some fixed-point theorems on quasi M -metric spaces Keywords: Quasi M-Metric, Cauchy Sequence, Completeness, Fixed Point Share Link | Plain Format | Corresponding Author (Rofiud Darojad)

14	Functional Analysis	ABS-46
FOUR MULTIPLE VARIABLES OF OPTIMAL PRODUCTION FUNCTIONS: THE CASE OF THAI AND MALAYSIA COOPERATIVES Martino Wibowo 1, Yanto Sidik Pratiknyo 2 1 Universitas Terbuka Indonesia tino@campus.ut.ac.id 2 Universitas Terbuka Indonesia yantosp2013@gmail.com (correspondence author) Universitas Terbuka Abstract The multivariable equation of the production function can be expressed in a power equation. This equation can specifically have four variables in this research. Cost is calculated for the optimal value for each variable using the Hamilton and Lagrange equation. Mathematically, the equation can be solved using the optimal control method with partial derivatives. However, if the production function equation contains negative factors, then optimal costs can be in the form of complex numbers which involve imaginary numbers in the application, in these cases, Thai and Malaysia cooperatives are complex numbers. Keywords: Hamiltonian, Lagrangian, Optimal Control Share Link | Plain Format | Corresponding Author (Yanto Sidik Pratiknyo)

15	Functional Analysis	ABS-78
HyEIT: Hybrid Imaging Iterative Reconstruction in MATLAB Agah D. Garnadi^1, Deddy Kurniadi^2, Utriweni Mukhayyar^3 1 Ronin Mathematician, 2Engineering Physics, ITB, 3Statistics, ITB Abstract We present a MATLAB-based, open source reconstruction software for Hybrid Imaging problem arising from Current Density Impedance Imaging (CDII) and Acoustic-Electrical Impedance Tomography (AEIT), utilizing mixed finite element method solver of Darcy toolbox {\tt DarcyLite}~. For a formulation of hybrid inverse problems in impedance tomography the successive substitution iterative schemes are adapted and an reconstruction algorithm is developed. The problem formulation is a class of hybrid imaging modality which is current density impedance imaging or Acoustic-Electrical Impedance Tomography. The proposed algorithm is implemented numerically in two dimensions Keywords: Picard Iteration, Hybrid Imaging Share Link | Plain Format | Corresponding Author (Agah Drajat Garnadi)

16	Functional Analysis	ABS-92
Displacement field estimation from B-mode ultrasound images utilizing pixel intensity information with applications in quantitative elastography Agah D. Garnadi^1, Umar Fauzi^2 1 Ronin Mathematician 2 System Complex Group, FMIPA ITB Abstract We report the problem of estimating the internal displacement field of an object which is being subjected to a deformation, from B-mode ultrasound images before and after compression. For the estimation of the internal displacement field we utilizes particular speckle information to enhance the quality of the motion estimation. We present numerical results based on simulated data in order to demonstrate the usefulness of our approach, in particular when applied for quantitative elastography. Keywords: 65J22 - Numerical Analysis - Inverse Problems 65J20 - Numerical Analysis - Improperly posed problems- regularization Share Link | Plain Format | Corresponding Author (Agah Drajat Garnadi)

17	Functional Analysis	ABS-108
On 2-F-Normed Spaces Nur Khusnussaadah, Supama, Atok Zulijanto Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada Abstract In this paper, we construct a 2-F-normed space. The space is not only a generalization of a 2-normed space, but it is also closely related to an F-normed space, in the sense that for any given 2-F-normed space, we can derive an appropriate F-normed space. Furthermore, we can prove some properties of a 2-F-normed space through those of its derived F-normed space. Keywords: 2-norm, F-norm, convergent sequence, sequence spaces Share Link | Plain Format | Corresponding Author (Nur Khusnussaadah)

18	Functional Analysis	ABS-118
Isomorphism of Matrix Algebra Over Cuntz Algebra Afif Humam(a*), Janny Lindiarni(a), Reinhart Gunadi(a), Wono Setya Budhi(a) Fakultas Matematika dan Ilmu Pengetahuan Alam Institut Teknologi Bandung, Bandung 40132, Indonesia *afif.humam[at]itb.ac.id Abstract Starting with a Cuntz algebra -O_n- constructed by -n- isometries, we will discuss a C*-algebra with elements of a square matrix of fixed size -k- and the component of matrix is in Cuntz algebra -O_n-. It is surprising that if -k- divides -n-, it turns out that the C*-algebra is isomorphic to the Cuntz algebra -O_n-. Keywords: Isometry, Cuntz Algebra, Matrix Operator Share Link | Plain Format | Corresponding Author (Afif Humam)

19	Functional Analysis	ABS-126
A Finite Decomposition in a Simple Unital C*-Algebra Reinhart Gunadi, Janny Lindiarni, Afif Humam and Wono Setya Budhi Institut Teknologi Bandung Abstract In this paper we discuss a decomposition of a positive element in a simple unital C*-algebra. In contrast to the decomposition of the eigenspaces of an operator which can be done on the entire space, the decomposition is done as a sum of several elements already in decomposition form. Keywords: positif element, decomposition Share Link | Plain Format | Corresponding Author (Janny Lindiarni)

20	Minisymposia Differential Equations	ABS-2
Surface Tension-Assisted for Korteweg Fluid Motion in Whole-Space Case Sri Maryani (a*), Mulki Indana. Zulfa (c), Bambang Hendriya Guswanto (a), Triyani (a), Mukhtar Effendi (b), Supriyanto (a) a) Department of Mathematics, Jenderal Soedirman University, Purwokerto, Indonesia *sri.maryani[at]unsoed.ac.id b) Department of Physics, Jenderal Soedirman University, Purwokerto, Indonesia c) Department of Electrical Engineering, Faculty of Engineering, Jenderal Soedirman University, Purwokerto, Indonesia Abstract Diffuse and sharf-interface models are two separated categories of mathematical models that can be used to describe liquid-vapor fluxes. The interfacial layer where phase changes take place is represented differently in each of them. In sharp-interface models, an infinitesimally thin hypersurface is employed in place of the small, positive thickness that is present in diffuse-interface models. By taking the limit where the interfacial region^s thichness goes to zero, the diffuse-intreface model can be connected to the related sharp-interface model. In this paper we consider these phenomena which introduced firstly by Diederik Johannes Korteweg. This calculation was carried out over the model problem in whole space case with surface tension. The calculation showed the solution formula of Korteweg model for velocity and density with same technique with the previous works. In this brief report, we investigated the solution formula of the model problem in whole space with surface tension by using Fourier transform methods. Keywords: Korteweg type- Surface tension- whole-space- fluid dynamics Share Link | Plain Format | Corresponding Author (Sri Maryani)

21	Minisymposia Differential Equations	ABS-7
Study of the biological behavior of Tuberculosis and Dengue Disease model via Hermite wavelets based a new numerical method Vivek Applied Sciences and Humanities Department, Institute of Engineering and Technology, Lucknow, Uttar Pradesh India 243723. Abstract This study presents the application of a wavelet-based approach to solve two mathematical models. The first model deals with the spread of Dengue disease, considering various factors such as transmission rate and death rate. The second model focuses on the spread of Tuberculosis, incorporating different control parameters. To solve these systems of nonlinear differential equations, we employ the Hermite wavelet collocation method (HWCM), which utilizes the operational matrix of integration of Hermite wavelets. This method transforms the original nonlinear differential equations into solvable algebraic equations. Subsequently, the numerical solution is obtained using the Newton-Raphson method. We compare the outcomes of the proposed method with analytical solutions, solutions obtained using Bernoulli wavelets, and the Runge-Kutta method. Additionally, we discuss several theorems to analyze the convergence of the proposed method. Our results demonstrate that the proposed method achieves superior accuracy and reduced error compared to existing methods. Keywords: Tuberculosis and Dengue Disease Model, Hermite Wavelet, Collocation Technique, MATLAB Share Link | Plain Format | Corresponding Author (Vivek .)

22	Minisymposia Differential Equations	ABS-9
R-bounded solution operator for a compressible fluid model of Korteweg type with slip boundary conditions in a bent half-space Suma Inna Universitas Islam Negeri Syarif Hidayatullah Jakarta Abstract The paper discusses the R-bounded solution operator for a compressible fluid model of Korteweg type with slip boundary conditions in a bent half-space --(\Omega_+)-. This result gives basic approaches to studying the Navier Stokes Korteweg system in the Lp- in time and Lq in space maximal regularity class and also the local and global wellposedness for an original nonlinear problem, which is a fundamental system equation to describe the motion of the viscous fluid. Keywords: Bent-half space, Navier Stokes Korteweg, R-Boundedness, Slip boundary conditions Share Link | Plain Format | Corresponding Author (Suma Inna)

23	Minisymposia Differential Equations	ABS-12
Analytic Conformable Semigroup Bambang Hendriya Guswanto Department of Mathematics, Universitas Jenderal Soedirman, Purwokerto, Indonesia Abstract We discuss an analytic conformable semigroup operator associated with a conformable Cauchy problem involving a sectorial linear operator and conformable fractional derivative. The properties of the analytic conformable semigroup are derived by employing the properties of semigroup operator associated with usual Cauchy problem involving the sectorial linear operator and usual derivative. Some results concerning the relationship between the fractional power of the sectorial linear operator and the analytic conformable semigroup are also derived. Keywords: analytic conformable semigroup, conformable fractional derivative, conformable Cauchy problem Share Link | Plain Format | Corresponding Author (Bambang Hendriya Guswanto)

24	Minisymposia Differential Equations	ABS-16
Proving Global Optima Condition in Temperature Model for Inhibiting Zero-Order Reactions Januardi*, Aditya Sukma Nugraha** *Department of Agroindustrial Technology, Universitas Padjadjaran **Research Center for Smart Mechatronics, National Research and Innovation Agency (BRIN) Abstract This article builds a temperature optimization model from Arrhenius Equation, as the relationship of temperature with the reaction rates, and heat capacity. The Arrhenius and heat capacity model establish a heat accumulation model to estimate the total heat for a specific time given any temperature change. From the first-order derivative, this article finds the optimal temperature setting to decelerate zero-order reactions. From the second-order derivative, the optimal temperature must be set lower than the environment temperature to make the model has concavity form. A successive linear programming as the exact method in nonlinear programming is utilized to prove the global optima condition of the analytical solution. This study lays a foundation of analytical modelling and solutions to inhibit specific reaction. Later on, the basic model can be applied by food and pharmaceutical scientist and engineer to keep the product nutrition in specific time. Keywords: Arrhenius Equation- Derivative Solution- Zero-order reactions Share Link | Plain Format | Corresponding Author (Januardi Januardi)

25	Minisymposia Differential Equations	ABS-23
Local existence of classical solution to the higher dimensional Einstein-Maxwell-Klein-Gordon system Mirda Prisma Wijayanto (a), Fiki Taufik Akbar (b), and Bobby Eka Gunara (b*) a) Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Jenderal Soedirman Jl. Dr. Soeparno no. 61 Purwokerto, Indonesia, 53122 b) Theoretical High Energy Physics Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung Jl. Ganesha no. 10 Bandung, Indonesia, 40132 *bobby[at]itb.ac.id Abstract In this paper we study the existence of local classical solution to the coupled Einstein and Maxwell-Klein-Gordon system in higher dimensions. This system provides a toy model to study the dynamics of the complex scalar fields under the influence of the interaction of the gravitational and electromagnetic fields. In the starting point, we introduce the metric of the spacetime in the Bondi coordinate. Then, we construct the evolution equation in the form of a single first-order nonlinear integro-differential equation. Furthermore, we show that there exists a unique fixed point that is the solution of the main problem based on the contraction mapping arguments. Finally, for a given initial data, we prove the existence of a local classical solution. Keywords: Higher dimensional gravity, Einstein equations, Maxwell-Klein-Gordon equations, local existence Share Link | Plain Format | Corresponding Author (Mirda Prisma Wijayanto)

26	Minisymposia Differential Equations	ABS-31
On the spectra of Laplace operator on the Icosahedron metric graph Hendri Maulana, Yudi Soeharyadi, Oki Neswan. Faculty of Mathematics and Natural Science, Bandung Institute of Technology, Bandung, Indonesia Abstract This study focuses on the eigenvalue problem of the Laplace operator on the Icosahedron metric graph. It is part of a more general problem into the eigenvalues of the Laplace operator on metric graphs of Platonic solids. A compact metric graph is defined as a graph where edges are represented by finite line segments, enabling the application of one-dimensional calculus to be done on this structure. In this study, the Neumann-Kirchhoff conditions, along with compatibility conditions are applied to the metric graph. We carried on the explicit computations of the eigenvalues using symbolic computer algebra Wolfram Mathematica. Our results match with those obtained by Lipovsky and Exner (2019), via advanced operator decomposition theoretic tools. Keywords: Eigen values of Laplace operator, Icosahedron metric graph, continuity condition, kirchhoff condition. Share Link | Plain Format | Corresponding Author (Hendri Maulana)

27	Minisymposia Differential Equations	ABS-38
Analytical Approach for Solving Black-Scholes Equations using Tensor Product Technique in Banach Spaces Werry Febrianti Department Mathematics, Faculty of Sciences, Institut Teknologi Sumatera Abstract Black-Scholes partial differential equation (BS PDE) is one of the fundamental equations in mathematical finance. This BS PDE is important in finding option pricing in derivative markets like European option pricing, insurance, and other aspects. There are so many techniques that have been developed for finding the solution of this BS PDE. Therefore, this research develops a way to find the analytical solution of BS PDE using tensor product techniques in Banach space. Keywords: Black-Scholes, tensor product, Banach space Share Link | Plain Format | Corresponding Author (Werry Febrianti)

28	Minisymposia Differential Equations	ABS-40
Integrated Local Energy Decay Estimate Maxwell-Higgs System on Reissner-Nordstrom spacetimes Mulyanto 1, Ardian Nata Atmaja 1, Fiki Taufik Akbar 2, Bobby Eka Gunara 2 1 Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), Kompleks PUSPIPTEK Serpong, Tangerang 15310, Indonesia. 2 Theoretical Physics Laboratory, Theoretical High Energy Physics Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung Jl. Ganesha no. 10 Bandung, Indonesia, 40132 Abstract In this paper, we demonstrate the energy estimate for the Maxwell-Higgs system in the outer region of Reissner-Nordstrom spacetimes. By employing the integrated local energy decay (ILED) estimate along with geometric energy estimates, we get the boundedness on the middle component problem of the Maxwell-Higgs system. Keywords: Decay, Energy estimate, Maxwell-Higgs Share Link | Plain Format | Corresponding Author (Mulyanto .)

29	Minisymposia Differential Equations	ABS-45
On the blowing up solutions of a system of fractional differential equations Sofwah Ahmad and and Mokhtar Kirane Department of Mathematics, College of Computing and Mathematical Sciences, Khalifa University of Science and Technology, P.O. Box 127788, Abu Dhabi, UAE Abstract Please Just Try to Submit This Sample Abstract You Can Edit It Again Later In this paper, we are concerned with the study of the system of fractional differential equations \begin{align*} ^cD_{0+}^{\alpha} X(t) & =\Gamma(\alpha)(t+1)^{k_1}X^{a}(t)Y^{q}(t), %% \quad 0<\alpha<1, \quad t>0, \\ %% ^cD_{0+}^{\beta} Y(t) & =\Gamma(\beta)(t+1)^{k_2}Y^{b}(t)X^{p}(t), \quad 0<\beta<1, \quad t>0, \\ \label{eq:4-frac sys_sigma} \end{align*} subject to \begin{equation*} X(0) =X_{0}>0,\quad Y(0)=Y_{0}>0, \label{eq3:initial_value} \end{equation*} where \(\Gamma(\sigma)\) stands for the Gamma function, \(^cD_{0+}^{\alpha}\) stands for the Caputo fractional derivative, and \(a,b,p,q, k_1,\) and \(k_2\) are real numbers that will be specified later. We present sufficient conditions for the non-existence of global solutions. Furthermore, we present the asymptotic growth of blowing-up solutions near the blow up time. More precisely, we give the growth rate estimate near the blow-up time by employing Parseval^s formula for the Mellin transform. Keywords: Fractional derivative, Non-existence of global solutions, Asymptotic growth of blowing up solutions, Blow-up time. Share Link | Plain Format | Corresponding Author (Sofwah Ahmad)

30	Minisymposia Differential Equations	ABS-49
Effects of Inversion Layer and Vegetation Area on Atmospheric Pollutant Dispersion along with Sensitivity of Vegetation Parameters Fidelis Nofertinus Zai (a*), Agus Yodi Gunawan (b) a) Department Mathematics, Universitas Sumatera Utara, Medan 20155, Indonesia *fidelis[at]usu.ac.id b) Industrial and Financial Mathematics Research Group, Institut Teknologi Bandung, Jln. Ganesa 10, Bandung, Indonesia Abstract In this paper, a mathematical model describing effects of an inversion Layer and a vegetation area on atmospheric pollutant dispersion arising from a high chimney is constructed. The steady advection-diffusion equation is applied to predict pollutant concentrations at ground surface. An analytical solution procedure via the integral transforms is presented. Solutions are entirely determined by two main parameters, the inversion layer and the vegetation parameters. The inversion layer parameters include the source strength emanating from the chimney and the height of the inversion layer. While, the vegetation parameters are type of tree, leaf density, and its area. The pollutant concentration on the ground surface with some multiple source formations of chimney will also be explored. Results show that the lower the inversion layer, the higher the pollutant concentration on the ground level is. The higher the vegetation parameter value, the greater the reduction in pollutant concentration is. Keywords: Pollutant dispersion, inversion layer, vegetation, advection-diffusion equation, integral transforms. Share Link | Plain Format | Corresponding Author (Fidelis Nofertinus Zai)

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