Solving Linear Volterra Integro-Fractional Differential Equations in Caputo Sense with Constant Multi-Time Retarded Delay by Laplace Transform

Abstract

In this paper presents Laplace transform methods for the first time to solve linear Volterra integro-differential equations of the fractional order in Caputo sense with constant multi-time Retarded delay. This method can be easily handling many linear Volterra problems and is capable of reducing computational analytical works where the kernel of difference and simple degenerate types. Analytical examples are presented to illustrate the efficiency and accuracy of the proposed methods.

Keywords

• Caputo fractional derivative
• Integro-differential equation
• Delay differential equations
• Laplace transform
• Difference and Simple Degenerate Kernels.