Implicit Caputo Tempered Fractional Differential Boundary Value Problems with Infinite Delay in Banach Spaces

Authors

  • Wafaa Rahou
  • Abdelkrim Salim
  • Jamal Eddine Lazreg
  • Mouffak Benchohra

Keywords:

Caputo tempered fractional derivative, implicit boundary problem, existence, fixed point, measure of noncompactness, infinite delay, Ulam stability.

Abstract

The purpose of this article is to study the existence and Ulam-Hyers stability results for a class of boundary value problems with Caputo tempered fractional derivative and infinite delay. The results are based on M\"{o}nch's fixed point theorem. An illustrative example is given to demonstrate the applicability of our  results.

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Published

2023-05-28

Issue

Vol. 17

Section

Vol. 17, No. 6, (2023)

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