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

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