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

Author Affiliation

Naveed Ahmad is Assistant Professor of Mathematical Sciences at Institute of Business Administration (IBA), Karachi

Faculty / School

School of Mathematics and Computer Science (SMCS)

Department

Department of Mathematical Sciences

Was this content written or created while at IBA?

Yes

Document Type

Article

Source Publication

Alexandria Engineering Journal

ISSN

1110-0168

Disciplines

Engineering

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.

Indexing Information

Web of Science - Science Citation Index Expanded (SCI)

Journal Quality Ranking

Impact Factor: 3.732

Publication Status

Published

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