Existence and k-Mittag-Leffler-Ulam-Hyers stability results of k-generalized psi-Hilfer boundary value problem

Authors

  • Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria
  • Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria
  • Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria
  • Morgan State University, 1700 E. Cold Spring Lane, Baltimore M.D. 21252, USA

Abstract

This paper deals with some existence, uniqueness and $k$-Mittag-Leffler-Ulam-Hyers stability results for a class of boundary value problem for implicit nonlinear fractional differential equations and $k$-generalized $\psi$-Hilfer fractional derivative. Suitable examples are given for justifying our results and addressing different specific cases of our problem.

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Published

2022-05-19

Issue

Vol. 29 No. 2 (2022): Nonlinear Studies (NS)

Section

Articles

How to Cite

Existence and k-Mittag-Leffler-Ulam-Hyers stability results of k-generalized psi-Hilfer boundary value problem. (2022). Nonlinear Studies, 29(2). https://nonlinearstudies.com/index.php/nonlinear/article/view/2900