Abstract
A new class of nonlocal multipoint boundary value problems involving a dual hybrid system of nonlinear Riemann-Liouville-type q-fractional differential equations is studied in this paper. Existence and uniqueness results for the given problem are derived by applying the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle. Examples are presented for illustrating the obtained results. The work established in this paper is a useful contribution to the existing literature on q-fractional differential equations. Some interesting special cases are also discussed.
Recommended Citation
A. Alsaedi et al., "On a Fully Coupled Nonlocal Multipoint Boundary Value Problem for a Dual Hybrid System of Nonlinear Q -Fractional Differential Equations," Bulletin of Mathematical Sciences, article no. 2450006, World Scientific Publishing, Jan 2024.
The definitive version is available at https://doi.org/10.1142/S1664360724500061
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
coupled system; existence; hybrid; nonlocal boundary conditions; Riemann-Liouville q -fractional derivative
International Standard Serial Number (ISSN)
1664-3615; 1664-3607
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Jan 2024