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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