Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions-Reference-Cited by-同舟云学术

Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions

Published:2021-05-21 Issue:1 Volume:2021 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Subramanian Muthaiah,Alzabut Jehad^ORCID,Baleanu Dumitru,Samei Mohammad Esmael,Zada Akbar

Abstract

AbstractIn this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-021-03414-9.pdf

Reference44 articles.

1. Hadamard, J.: Essai sur létude des fonctions données par leur développment de Taylor. J. Math. Pures Appl. 8, 101–186 (1892)

2. Kilbas, A.A.A., Srivastava, H.M., Trujillo, J.J.: Theory and applications of fractional differential equations, vol. 204 (2006)

3. Podlubny, I.: Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications (1998)

4. Klafter, J., Lim, S.C., Metzler, R.: Fractional Dynamics: Recent Advances (2012)

5. Machado, J.T., Kiryakova, V., Mainardi, F.: Recent history of fractional calculus. Commun. Nonlinear Sci. Numer. Simul. 16(3), 1140–1153 (2011)

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A novel optimal control strategy for nutrient–phytoplankton–zooplankton model with viral infection in plankton;Communications in Nonlinear Science and Numerical Simulation;2024-10

2. Existence, Uniqueness, and Stability of a Nonlinear Tripled Fractional Order Differential System;Fractal and Fractional;2024-07-15

3. Study of three-point impulsive boundary value problems governed by $$\Psi $$-Caputo fractional derivative;Journal of Applied Mathematics and Computing;2024-05-20

4. Hadamard Fractional Differential Equations on an Unbounded Domain with Integro-initial Conditions;Qualitative Theory of Dynamical Systems;2024-05-06

5. Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations;Physica Scripta;2024-04-24