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.

Downloads

Published

2021-09-28

Issue

Section

Articles