Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions

Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions

In this paper, we use the Banach fixed point theorem to obtain the existence, interval of existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions. We also use the generalization of Gronwall’s inequality to show the esti...

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Bibliographic Details
Main Authors: Abdelouaheb Ardjouni, Ahcene Djoudi
Format: Article
Language:English
Published: ATNAA 2019-03-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
implicit fractional differential equations; nonlocal conditions; caputo-hadamard fractional derivatives; fixed point theorems; existence; uniqueness.
Online Access:https://dergipark.org.tr/en/download/article-file/679312

Internet

https://dergipark.org.tr/en/download/article-file/679312

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