Existence and stability of solution for a coupled system of Caputo–Hadamard fractional differential equations

Existence and stability of solution for a coupled system of Caputo–Hadamard fractional differential equations

Abstract In our present work, we study a coupled system of Caputo–Hadamard fractional differential equations supplemented with a novel set of initial value conditions involving the η = ( t d d t ) $\eta =(t\frac{d}{dt})$ derivatives. We provided sufficient criteria for the existence and stability of...

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Bibliographic Details
Main Authors: Mesfin Teshome Beyene, Mitiku Daba Firdi, Tamirat Temesgen Dufera
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Fixed Point Theory and Algorithms for Sciences and Engineering
Subjects:
Caputo–Hadamard fractional derivative
Laplace transform
Mittag-Leffler functions
Equation
Existence and uniqueness
Fixed point theorems
Online Access:https://doi.org/10.1186/s13663-024-00773-2
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https://doi.org/10.1186/s13663-024-00773-2

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