Faedo-Galerkin approximation of mild solutions of fractional functional differential equations

Abstract

In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique. In this sense, Faedo-Galerkin approximation to the solution is studied and demonstrated some convergence results.

Keywords

• fractional differential equations
• existence and uniqueness
• mild solution
• faedo-galerkin approximation
• gronwall inequality
• 26a33
• 34k30
• 34g20
• 47h06