Existence and Uniqueness of solution of Volterra Integrodifferential Equation of Fractional Order via S-Iteration

Abstract

In this paper, we study the existence and other properties of solutions of existence and uniqueness of solution of Volterra integrodifferential equation of fractional order involving the Caputo fractional derivative. The tool employed in the analysis is based on application of $S-$ iteration method. Since the study of qualitative properties in general required differential and integral inequalities, but here $S-$iteration method itself has equally important contribution to study various properties such as dependence on initial data, closeness of solutions and dependence on parameters and functions involved therein. Am example in support of the all established results.

Keywords

• existence and uniqueness
• normal $s-$iterative method
• fractional derivative
• continuous dependence
• closeness
• parameters.