Existence results for hybrid fractional differential equations with Hilfer fractional derivative

Document Type: Research articles

Authors

1 Department of Mathematics and Computer Sciences, Hakim Sabzevari University of Sabzevar, Sabzevar, Iran.

2 Department of Mathematics , Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.

3 Department of Mathematics Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.

10.22080/cjms.2019.16038.1382

Abstract

This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.

Keywords