Open AccessExistence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition
Author(s) -
Khalid Hilal,
Ahmed Kajounı,
Najat Chefnaj
Publication year - 2022
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2022/6468278
Subject(s) - mathematics , conformable matrix , fixed point theorem , uniqueness , banach fixed point theorem , cauchy distribution , banach space , mathematical analysis , initial value problem , picard–lindelöf theorem , fixed point , pure mathematics , physics , quantum mechanics
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.
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