On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation

Abstract

In this paper, we study the fractional integro-differential equation under the notion of fuzziness. We consider the fuzzy fractional Volterra-Fredholm integro-differential equation in the Caputo sense and show its existence and uniqueness by using fixed point theory. Further, we use the modified Adomian decomposition method (MADM) to determine the solution of the proposed problem. We provide some examples to support our method. We also provide graphical representation to visualize the behavior of the solutions. At the end of the paper, we present the conclusion part.

Keywords

• Fuzzy fractional integro-differential equations
• Modified Adomian decomposition method (MADM)
• Caputo fractional derivative
• Volterra-Fredholm integro-differential equation