A comparative study to solve fractional initial value problems in discrete domain-Reference-Cited by-同舟云学术

A comparative study to solve fractional initial value problems in discrete domain

Published:2023-01-01 Issue:1 Volume:13 Page:
ISSN:2391-5439
Container-title:Open Engineering
language:en
Short-container-title:

Author:

Abed Alaa Mohsin¹²,Jafari Hossein¹³⁴,Mechee Mohammed Sahib⁵

Affiliation:

1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran , Babolsar , Iran

2. The General Directorate of Education in Diwaniyah , Diwaniyah , Iraq

3. Department of Mathematical Sciences, University of South Africa , UNISA0003 , South Africa

4. Department of Medical Research, China Medical University Hospital, China Medical University , Taichung 110122 , Taiwan

5. Department of Mathematics, Information Technology Research and Development Center (ITRDC), University of Kufa , Najaf , Iraq

Abstract

Abstract In this article, we used some methods to solve Riemann-type fractional difference equations. Firstly, we use a method that is a composite method based on the successive approximation method with the Sumudu transform. Secondly, we use a method that is a composite method that consists of the homotopic perturbation method with the Sumudu transform. It was found that the results obtained from these combined methods are identical when compared. We also provided theories and illustrative examples to support the research findings.

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Mechanical Engineering,Aerospace Engineering,General Materials Science,Civil and Structural Engineering,Environmental Engineering

Link

https://www.degruyter.com/document/doi/10.1515/eng-2022-0480/pdf

Reference24 articles.

1. Agarwal RP, Wong PJ. Advanced topics in difference equations. Springer Science & Business Media. Vol. 404; 2013.

2. Anastassiou GA. About discrete fractional calculus with inequalities. In: Intelligent Mathematics: Computational analysis. Intelligent Systems Reference Library, vol. 5. Berlin, Heidelberg: Springer; 2011.

3. Atici F, Eloe P. Initial value problems in discrete fractional calculus. Proceedings of the American Mathematical Society. 2009;137(3):981–9.

4. Atıcı FM, Eloe PW. Gronwall’s inequality on discrete fractional calculus. Comput Math Appl. 2012;64(10):3193–200.

5. Eltayeb H, Abdeldaim E. Sumudu decomposition method for solving fractional delay differential equations. Res Appl Mathematics. 2017;1(1):1–13.

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