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
