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

Year 2019, Volume: 3 Issue: 1, 46 - 52, 31.03.2019

Abdelouaheb Ardjouni Ahcene Djoudi

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

Cited By: 9

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.

Keywords

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

References

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