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

Authors : Abdelouaheb ARDJOUNİ, Ahcene DJOUDİ

Pages : 46-52

Doi:10.31197/atnaa.501118

View : 13 | Download : 9

Publication Date : 2019-03-31

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 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