Existence and uniqueness of solutions for the nonlinear retarded and advanced implicit Hadamard fractional differential equations with nonlocal conditions
Abstract
In this paper, we use the Banach contraction mapping principle and the Krasnoselskii fixed point theorem to obtain the existence and uniqueness of solutions for nonlinear retarded and advanced implicit Hadamard fractional differential equations with nonlocal conditions. The results obtained here extend the work of Benchohra, Bouriah and Henderson <cite>ben</cite>. Two examples are also given to illustrate the results.
Published
2020-05-27
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Section
Articles
How to Cite
Existence and uniqueness of solutions for the nonlinear retarded and advanced implicit Hadamard fractional differential equations with nonlocal conditions. (2020). Nonlinear Studies, 27(2). https://nonlinearstudies.com/index.php/nonlinear/article/view/1978