Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition

In this work, we prove the existence and uniqueness of mild solution of the fractional conformable Cauchy problem with nonlocal condition. We obtained these results by applying the fixed point theorems precisely to the fixed point theorem of Krasnoselskii and Banach’s fixed point theorem. At the end...

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Bibliographic Details
Published in:International journal of differential equations 2022-03, Vol.2022, p.1-9
Main Authors: Hilal, Khalid, Kajouni, Ahmed, Chefnaj, Najat
Format: Article
Language:English
Subjects:
Applied mathematics
Banach spaces
Calculus
Cauchy problems
Fixed points (mathematics)
Hypotheses
Partial differential equations
Theorems
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Summary:In this work, we prove the existence and uniqueness of mild solution of the fractional conformable Cauchy problem with nonlocal condition. We obtained these results by applying the fixed point theorems precisely to the fixed point theorem of Krasnoselskii and Banach’s fixed point theorem. At the end, we provide application.
ISSN:1687-9643
1687-9651
DOI:10.1155/2022/6468278