Utilizing Schaefer's fixed point theorem in nonlinear Caputo sequential fractional differential equation systems-Reference-Cited by-同舟云学术

Utilizing Schaefer's fixed point theorem in nonlinear Caputo sequential fractional differential equation systems

Published:2024 Issue:6 Volume:9 Page:14130-14157
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Awadalla Muath¹,Murugesan Manigandan²,Kannan Manikandan²,Alahmadi Jihan³,AlAdsani Feryal¹

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, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail, Al-Kharj 11942, Saudi Arabia

Abstract

<abstract><p>In the present study, established fixed-point theories are utilized to explore the requisite conditions for the existence and uniqueness of solutions within the realm of sequential fractional differential equations, incorporating both Caputo fractional operators and nonlocal boundary conditions. Subsequently, the stability of these solutions is assessed through the Ulam-Hyers stability method. The research findings are validated with a practical example that corroborate and reinforce the theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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