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Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type

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Date

2023

Authors

Hamarashid, Hawsar
Srivastava, Hari Mohan
Hama, Mudhafar
Mohammed, Pshtiwan Othman
Almusawa, Musawa Yahya
Baleanu, Dumitru

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Abstract

This study is devoted to examine the existence and uniqueness behavior of a nonlinear integro-di_erential equation of Volterra-Fredholm integral type in continues space. Then, we examine its solution by modification of Adomian and homotopy analysis methods numerically. Initially, the proposed model is reformulated into an abstract space, and the existence and uniqueness of solution is constructed by employing Arzela-Ascoli and Krasnoselskii fixed point theorems. Furthermore, suitable conditions are developed to prove the proposed model’s continues behavior which reflects the stable generation. At last, three test examples are presented to verify the established theoretical concepts.

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Arzela-Ascoli Theorem, Boundary Value Problem, Krasnosel’skii Theorem, Nonlinear Integro Equation

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Citation

Hamarashid, Hawsar;...et.al. (2023). "Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type", AIMS Mathematics, Vol.8, no.6, pp.14572-14591.

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AIMS Mathematics

Volume

8

Issue

6

Start Page

14572

End Page

14591