Solution approximation of fractional boundary value problems and convergence analysis using AA-iterative scheme-Reference-Cited by-同舟云学术

Solution approximation of fractional boundary value problems and convergence analysis using AA-iterative scheme

Published:2024 Issue:5 Volume:9 Page:13129-13158
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Abbas Mujahid¹²,Ciobanescu Cristian³,Asghar Muhammad Waseem⁴,Omame Andrew⁵⁶

Affiliation:

1. Department of Mechanical Engineering Science, Faculty of Engineering and the Built Environment, University of Johannesburg, Johannesburg, South Africa

2. Department of Medical Research, China Medical University, Taichung 404, Taiwan

3. Department of Mathematics and Informatics, National University of Science and Technology Politehnica Bucharest, Bucharest 060042, Romania

4. Department of Mathematics, Government College University Lahore, Lahore 54000, Pakistan

5. Department of Mathematics, Federal University of Technology, Owerri, Nigeria

6. Abdus Salam School of Mathematical Sciences, Lahore 54000, Pakistan

Abstract

<abstract><p>Addressing the boundary value problems of fractional-order differential equations hold significant importance due to their applications in various fields. The aim of this paper was to approximate solutions for a class of boundary value problems involving Caputo fractional-order differential equations employing the AA-iterative scheme. Moreover, the stability and data dependence results of the iterative scheme were given for a certain class of mappings. Finally, a numerical experiment was illustrated to support the results presented herein. The results presented in this paper extend and unify some well-known comparable results in the existing literature.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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