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

Document Type : Research Paper

Authors

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.

Abstract

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.

Keywords

References

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Computational Methods for Differential Equations
Volume 10, Issue 1
January 2022
Pages 1-11

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History

  • Receive Date: 30 January 2020
  • Revise Date: 07 November 2020
  • Accept Date: 06 December 2020

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