Integro-differential equations implicated with Caputo-Hadamard derivatives under nonlocal boundary constraints

Hasanen A. Hammad, Hassen Aydi*, Doha A. Kattan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The goal of this work is to derive a new type of fractional system that arises from the combination of the Caputo-Hadamard derivative with the integro-differential equation. Also, the existence and uniqueness of solutions to this problem have been studied under nonlocal boundary conditions. Moreover, Hyer-Ulam stability has been studied for the considered problem. Finally, to reinforce the theoretical results and provide applications for our paper, two supporting examples have been emphasized.

Original languageEnglish
Article number025207
JournalPhysica Scripta
Volume99
Issue number2
DOIs
Publication statusPublished - 1 Feb 2024
Externally publishedYes

Keywords

  • Caputo-Hadamard derivative
  • Hadamard fractional integral
  • fixed point
  • stability result

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