Existence results for terminal value problem of implicit Hilfer's fractional differential equations

  • Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes,\\ P.O. Box 89, Sidi Bel-Abbes 22000, Algeria
  • Soufyane Bouriah Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes,\\ P.O. Box 89, Sidi Bel-Abbes 22000, Algeria
  • Seenith Sivasundaram College of Science, Engineering and Mathematics, Daytona Beach, FL 32114, USA

Abstract

In this paper, we establish sufficient conditions for the existence of solutions for a class of nonlinear Hilfer's fractional differential equations, The arguments are based upon the Banach contraction principle and Schaefer's fixed point theorem. Two examples are included to show the applicability of our results.

Published
2022-11-22