On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation
Faculty / School
School of Mathematics and Computer Science (SMCS)
Department of Mathematical Sciences
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Alexandria Engineering Journal
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.
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Ahmad, N., Ullah, A., Ullah, A., Ahmad, S., Shah, K., & Ahmad, I. (2021). On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation. Alexandria Engineering Journal, 60 (1), 1827-1838. Retrieved from https://ir.iba.edu.pk/faculty-research-articles/155