On fractional state-dependent delay integro-differential systems under the Mittag-Leffler kernel in Banach space-Reference-Cited by-同舟云学术

On fractional state-dependent delay integro-differential systems under the Mittag-Leffler kernel in Banach space

Published:2023 Issue:1 Volume:8 Page:1384-1409
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mallika Arjunan M.¹,Mlaiki Nabil²,Kavitha V.³,Abdeljawad Thabet²⁴

Affiliation:

1. Department of Mathematics, School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586 Saudi Arabia

3. Department of Mathematics, School of Sciences, Arts, Media & Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>The existence of Atangana-Baleanu fractional-order semilinear integro-differential systems and semilinear neutral integro-differential systems with state-dependent delay in Banach spaces is investigated in this paper. We establish the existence findings by using Monch's fixed point theorem and the concept of measures of non-compactness. A functioning example is provided at the end in order to illustrate the findings reached from the theoretical study.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference50 articles.

1. S. Abbas, M. Benchohra, J. E. Lazreg, Y. Zhou, A survey on Hadamard and Hilfer fractional differential equations: analysis and stability, Chaos Soliton. Fract., 102 (2017), 47–71. https://doi.org/10.1016/j.chaos.2017.03.010

2. T. Abdeljawad, Fractional operators with exponential kernels and a Lyapunov type inequality, Adv. Differ. Equ., 2017 (2017), 313. https://doi.org/10.1186/s13662-017-1285-0

3. D. Aimene, D. Baleanu, D. Seba, Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay, Chaos Soliton. Fract., 128 (2019), 51–57. https://doi.org/10.1016/j.chaos.2019.07.027

4. A. Alsaedi, D. Baleanu, S. Etemad, S. Rezapour, On coupled systems of time-fractional differential problems by using a new fractional derivative, J. Funct. Space., 2016 (2016), 4626940. https://doi.org/10.1155/2016/4626940

5. A. Alshabanat, M. Jleli, S. Kumar, B. Samet, Generalization of Caputo-Fabrizio fractional derivative and applications to electrical circuits, Front. Phys., 8 (2020), 1–10. https://doi.org/10.3389/fphy.2020.00064

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