Numerical solutions of fuzzy integro-differential equations of the second kind

Volume 23, Issue 1, pp 67--74 http://dx.doi.org/10.22436/jmcs.023.01.07

Publication Date: October 02, 2020 Submission Date: June 05, 2020 Revision Date: July 09, 2020 Accteptance Date: August 25, 2020

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Authors

Mohammed S. Bani Issa - Department of Mathematics, P. E. T. Research Foundation, University of Mysore, Mandya 570401, India. Ahmed A. Hamoud - Department of Mathematics, Taiz University, Taiz, Yemen. Kirtiwant P. Ghadle - Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India.

Abstract

In this paper, the Adomian decomposition method, modified Adomian decomposition method, variational iteration method, and homotopy perturbation method are used to solve the fuzzy integro-differential equations. We described the methods and compared the results with their exact solutions to demonstrate the methods' validity and applicability. Examples are provided to illustrate the results.

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Keywords

• Fuzzy integro-differential equations
• Adomian decomposition method
• modified Adomian decomposition method
• variational iteration method
• homotopy perturbation method

MSC

•  34A07
•  49M27
•  65K10
•  65H20

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