Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations

Year 2019, Volume: 2 Issue: 3, 136 - 142, 01.10.2019

Abdelouaheb Ardjouni , Ahcene Djoudi

Abstract

In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall's inequality to show the estimate of the solutions.

Keywords

Implicit fractional differential equations, Caputo-Hadamard fractional derivatives, Fixed point theorems

References

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