Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition

Hanan A. Wahash; Mohammed S. Abdo; Satish K. Panchal; Sandeep P Bhairat

doi:10.24193/subbmath.2021.3.09

Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition

Authors

Hanan A. Wahash
Mohammed S. Abdo Department of Mathematics, Dr.Babasaheb Ambedkar Marathwada University, Aurangabad, (M.S),431001, India
Satish K. Panchal
Sandeep P Bhairat

DOI:

https://doi.org/10.24193/subbmath.2021.3.09

Keywords:

fractional differential equations, Hilfer fractional derivatives, Existence, Fixed point theorem

Abstract

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.

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Published

2021-09-28

Issue

Vol. 66 No. 3 (2021)

Section

Articles

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