Existence Results for the System of Fractional-Order Sequential Integrodifferential Equations via Liouville

Existence Results for the System of Fractional-Order Sequential Integrodifferential Equations via Liouville–Caputo Sense

Published:2024-05-27 Issue: Volume:2024 Page:1-28
ISSN:2314-4629
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Awadalla Muath¹^ORCID,Murugesan Manigandan²^ORCID,Muthaiah Subramanian³^ORCID,Alahmadi Jihan⁴^ORCID

Affiliation:

1. Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Al Ahsa, Saudi Arabia

2. Center for Computational Modeling, Chennai Institute of Technology, Chennai 600069, Tamil Nadu, India

3. Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, Tamilnadu, India

4. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Abstract

We investigate the conditions for the existence and uniqueness of solutions in a nonlinear system of sequential fractional differential equations using the Liouville–Caputo type with varying orders. This system is enriched by nonlocal coupled integral boundary conditions. The desired outcomes are attained by employing traditional fixed-point theorems. It is essential to emphasize that the fixed-point approach proves to be an effective method for establishing the existence of solutions in boundary value problems. Furthermore, we provide constructed examples to illustrate the obtained results.

Funder

King Faisal University

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/journals/jmath/2024/6889622.pdf

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