Existence results of mild solutions for nonlocal fractional delay integro-differential evolution equations via Caputo conformable fractional derivative

Existence results of mild solutions for nonlocal fractional delay integro-differential evolution equations via Caputo conformable fractional derivative

In this paper, we investigate the existence of mild solutions for nonlocal delay fractional Cauchy problem with Caputo conformable derivative in Banach spaces. We establish a representation of a mild solution using a fractional Laplace transform. The existence of such solutions is proved under certa...

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Bibliographic Details
Main Authors: Lahcene Rabhi, Mohammed Al Horani, Roshdi Khalil
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:AIMS Mathematics
Subjects:
fractional laplace transform
nonlocal delay fractional evolution equation
mild solution
mönch's fixed point theorem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022647?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022647?viewType=HTML

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