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

Authors : Abdelouaheb ARDJOUNİ, Ahcene DJOUDİ

Pages : 136-142

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Publication Date : 2019-10-01

Article Type : Research Paper

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