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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2019 / Cilt: 3 - Sayı: 1

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

Abdelouaheb ARDJOUNİ, Ahcene DJOUDİ

Pages
46–52
DOI
—

Abstract

In this paper, we use the contraction mapping principle 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 estimate of the solutions.