On a Hilfer fractional differential equation with nonlocal Erd´elyi-Kober fractional integral boundary conditions

Mohamed I. Abbas

Abstract


We consider a Hilfer fractional differential equation with nonlocal
Erd´elyi-Kober fractional integral boundary conditions. The existence,
uniqueness and Ulam-Hyers stability results are investigated by means
of the Krasnoselskii’s fixed point theorem and Banach’s fixed point
theorem. An example is given to illustrate the main results.


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