Existence results for hybrid fractional differential equations with Hilfer fractional derivative

Baghani, O.; Vivek, D.; Kanagarajan, K

doi:10.22080/cjms.2019.16038.1382

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