Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type-Reference-Cited by-同舟云学术

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

Published:2023 Issue:6 Volume:8 Page:14572-14591
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

HamaRashid Hawsar¹,Srivastava Hari Mohan²³⁴⁵,Hama Mudhafar⁶,Mohammed Pshtiwan Othman¹,Almusawa Musawa Yahya⁷,Baleanu Dumitru⁸⁹¹⁰

Affiliation:

1. Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq

2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

3. Department of Mathematics and Informatics, Azerbaijan University, AZ1007 Baku, Azerbaijan

4. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

5. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

6. Department of Mathematics, College of Science, University of Sulaimani, Sulaimani 46001, Iraq

7. Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

8. Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey

9. Institute of Space Sciences, R76900 Magurele-Bucharest, Romania

10. Department of Natural Sciences, School of Arts and Sciences, Lebanese American University, Beirut 11022801, Lebanon

Abstract

<abstract><p>This study is devoted to examine the existence and uniqueness behavior of a nonlinear integro-differential 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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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