Existence and stability results for nonlinear coupled singular fractional-order differential equations with time delay-Reference-Cited by-同舟云学术

Existence and stability results for nonlinear coupled singular fractional-order differential equations with time delay

Published:2023 Issue:7 Volume:8 Page:15749-15772
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hammad Hasanen A.¹²,Işık Hüseyin³,Sen Manuel De la⁴

Affiliation:

1. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

3. Department of Engineering Science, Bandırma Onyedi Eylül University, Bandırma 10200, Balıkesir, Turkey

4. Institute of Research and Development of Processes, Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, 48940-Leioa (Bizkaia), Spain

Abstract

<abstract><p>The objective of the manuscript is to build coupled singular fractional-order differential equations with time delay. To study the underline problem, an integral representation is initially discussed and the operator form of the solution is investigated using various supplementary hypotheses. Also, the existence and uniqueness of the considered problem are investigated by using the Lebesgue-dominated convergence theorem and some analysis results. Moreover, the stability analysis to determine the nature of the proposed model's solution is examined. Finally, two supportive examples are provided to demonstrate our analysis as applications.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference50 articles.

1. I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Amsterdam, Elsevier, (1998).

2. A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, 204, Amsterdam, Elsevier, (2006).

3. K. Shah, S. Zeb, R. A. Khan, Existence and uniqueness of solutions for fractional order m-point boundary value problems, Fractional Differ. Calc., 2 (2015), 171–181.

4. D. Baleanu, J. A. T. Machado, A. C. Luo, Fractional Dynamics and Control, Berlin, Springer Science and Business Media, (2011).

5. R. L. Magin, Fractional Calculus in Bioengineering, 2(6), Redding, Begell House, (2006).

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