On solution of fuzzy Volterra integro-differential equations

Joint Authors

Ullah, Zia
Ahmad, Shabir
Aman Allah
Akgül, Ali

Source

Arab Journal of Basic and Applied Sciences

Issue

Vol. 28, Issue 1 (31 Dec. 2021), pp.330-339, 10 p.

Publisher

University of Bahrain College of Science

Publication Date

2021-12-31

Country of Publication

Bahrain

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

In this article, the Volterra integro-differential equation of separable type kernels is considered under the fuzzy concept.

A hybrid technique is used to solve fuzzy integro-differential equations under the notion of generalized Hukuhara differentiability.

To build up a suitable algorithm, Laplace transformation coupled with the Adomian decomposition method (LADM) is used which is an essential and profitable algorithm for setting the fuzzy Volterra integro-differential equations.

The proposed method is illustrated by two test problems that show the convergence of the series solution to the exact solution in closed form.

The numerical results of the examples are depicted by appropriate graphs at different uncertainty values.

Additionally, the graphical portrayals show the fruitfulness and accuracy of the proposed method.

American Psychological Association (APA)

Ullah, Zia& Ahmad, Shabir& Aman Allah& Akgül, Ali. 2021. On solution of fuzzy Volterra integro-differential equations. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.330-339.
https://search.emarefa.net/detail/BIM-1340638

Modern Language Association (MLA)

Akgül, Ali…[et al.]. On solution of fuzzy Volterra integro-differential equations. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.330-339.
https://search.emarefa.net/detail/BIM-1340638

American Medical Association (AMA)

Ullah, Zia& Ahmad, Shabir& Aman Allah& Akgül, Ali. On solution of fuzzy Volterra integro-differential equations. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.330-339.
https://search.emarefa.net/detail/BIM-1340638

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 338-339

Record ID

BIM-1340638