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

Authors :
Subramanian, Muthaiah
Alzabut, Jehad
Baleanu, Dumitru
Samei, Mohammad Esmael
Zada, Akbar
Source :
Advances in Difference Equations. 5/21/2021, Vol. 2021 Issue 1, p1-46. 46p.
Publication Year :
2021

Abstract

In 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2021
Issue :
1
Database :
Academic Search Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
150429220
Full Text :
https://doi.org/10.1186/s13662-021-03414-9