Existence and stability results for a coupled system of impulsive fractional differential equations with Hadamard fractional derivatives

Hasanen A. Hammad, Hassen Aydi*, Hüseyin Işık*, Manuel De la Sen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

The purpose of this study is to give some findings on the existence, uniqueness, and Hyers-Ulam stability of the solution of an implicit coupled system of impulsive fractional differential equations possessing a fractional derivative of the Hadamard type. The existence and uniqueness findings are obtained using a fixed point theorem of the type of Kransnoselskii. In keeping with this, many forms of Hyers-Ulam stability are examined. Ultimately, to support main results, an example is provided.

Original languageEnglish
Pages (from-to)6913-6941
Number of pages29
JournalAIMS Mathematics
Volume8
Issue number3
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Hadamard fractional derivative
  • Hyers-Ulam stability
  • existence solution
  • fixed point technique
  • impulsive effect

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