Qualitative analysis of fractional differential equations with ψ-Hilfer fractional derivative

Document Type : Research Paper


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

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


In this paper, we investigate the solutions of a class of ψ-Hilfer fractional differential equations with the initial values in the sense of ψ-fractional integral by using the successive approximation techniques. Next, the continuous dependence of a solution for the given Cauchy-type problem is presented.