Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition
DOI:
https://doi.org/10.24193/subbmath.2021.3.09Keywords:
fractional differential equations, Hilfer fractional derivatives, Existence, Fixed point theoremAbstract
This paper is devoted to studying the existence of a solution to Hilfer fractional differential equation with nonlocal boundary condition. We use the equivalent integral equation to study the considered Hilfer differential problem with nonlocal boundary condition. The M\"{o}nch type fixed point theorem and the measure of the noncompactness technique are the main tools in this study. We demonstrate the existence of a solution with a suitable illustrative example.Downloads
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Published
2021-09-28
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