Applying fixed point techniques to solve fractional differential inclusions under new boundary conditions-Reference-Cited by-同舟云学术

Applying fixed point techniques to solve fractional differential inclusions under new boundary conditions

Published:2024 Issue:6 Volume:9 Page:15505-15542
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Manigandan Murugesan¹,Manikandan Kannan¹,Hammad Hasanen A.²³⁴,De la Sen Manuel⁵

Affiliation:

1. Center for Computational Modeling, Chennai Institute of Technology, Chennai-600 069, Tamilnadu, India

2. Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia

3. Department of Mathematics, Saveetha School of Engineering, SIMATS, Saveetha University, Chennai 602105, India

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

5. 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>Many scholars have lately explored fractional-order boundary value issues with a variety of conditions, including classical, nonlocal, multipoint, periodic/anti-periodic, fractional-order, and integral boundary conditions. In this manuscript, the existence and uniqueness of solutions to sequential fractional differential inclusions via a novel set of nonlocal boundary conditions were investigated. The existence results were presented under a new class of nonlocal boundary conditions, Carathéodory functions, and Lipschitz mappings. Further, fixed-point techniques have been applied to study the existence of results under convex and non-convex multi-valued mappings. Ultimately, to support our findings, we analyzed an illustrative example.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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