Existence and uniqueness theorems for fractional volterra-fredholm integro-differential equations

Hamoud, Ahmed A. and Ghadle, Kirtiwant P and Issa, Bani and Giniswamy (2018) Existence and uniqueness theorems for fractional volterra-fredholm integro-differential equations. International Journal of Applied Mathematics, 31 (3). ISSN 1314-8060

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Official URL: http://dox.10.12732/ijam.v31i3.3

Abstract

In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential equation. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by the analytical approximate. Moreover, we proved the existence and uniqueness results of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.

Item Type: Article
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: lpa manjunath user
Date Deposited: 27 Sep 2019 10:59
Last Modified: 27 Sep 2019 10:59
URI: http://eprints.uni-mysore.ac.in/id/eprint/8615

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