Analytical Treatment of Volterra Integro-Differential Equations of Fractional Derivatives

Abstract

In this paper the solution of the Volterra integro-differential equations of fractional order is presented. The proposed method consists in constructing the functional series, sum of which determines the function giving the solution of considered problem. We derive conditions under which the solution series, constructed by the method is convergent. Some examples are presented to verify convergence, efficiency and simplicity of the method. Mathematics Subject Classification: 45J05, 65T60

Keywords

• fractional volterra integro-differential equations
• caputo fractional deriva- tive
• riemann-liouville fractional derivative