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

Yıl 2019, Cilt: 3 Sayı: 1, 46 - 52, 31.03.2019

Abdelouaheb Ardjouni , Ahcene Djoudi

https://doi.org/10.31197/atnaa.501118

Cited By: 10

Öz

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.

Anahtar Kelimeler

Implicit fractional differential equations, Nonlocal conditions, Caputo-Hadamard fractional derivatives, Fixed point theorems, Existence, Uniqueness

Kaynakça

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