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

نویسندگان
Baghani, Omid ID 1
Harikrishnan, Sugumaran ID 2
Kanagarajan, Kuppusamy ID 3

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.

doi
10.22034/cmde.2020.37370.1670
چکیده

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.

کلیدواژه‌ها
ψ-Hilfer fractional derivative, Cauchy-type problem, Continuous dependence