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