Mild and classical solutions to fractional Cauchy problem on time scales

Mild and classical solutions to fractional Cauchy problem on time scales

In this manuscript, aims to examine the uniqueness and existence of impulsive non-local conditions, as well as classical and mild solutions to the fractional Cauchy problem in time scales. The main results are derived by the Gronwall inequality and the Banach fixed point theorem in time scales. Even...

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Bibliographic Details
Main Authors: Ahmad Al-Omari, Hanan Al-Saadi
Format: Article
Language:English
Published: Elsevier 2024-06-01
Series:Heliyon
Subjects:
Time scale
Fractional calculus
Fractional differential equations
Cauchy problem
Nonlocal conditions
Impulsive equations
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844024080502

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http://www.sciencedirect.com/science/article/pii/S2405844024080502

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