Khasminskii Approach for ψ-Caputo Fractional Stochastic Pantograph Problem

Manar A. Alqudah, Hamid Boulares, Bahaaeldin Abdalla, Thabet Abdeljawad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this manuscript, we study an averaging principle for fractional stochastic pantograph differential equations (FSDPEs) in the ψ-sense accompanied by Brownian movement. Under certain assumptions, we are able to approximate solutions for FSPEs by solutions to averaged stochastic systems in the sense of mean square. Analysis of system solutions before and after the average allows extending the classical Khasminskii approach to random fractional differential equations in the sense of ψ-Caputo.

Original languageEnglish
Article number100
JournalQualitative Theory of Dynamical Systems
Volume23
Issue number3
DOIs
Publication statusPublished - Jul 2024
Externally publishedYes

Keywords

  • 34K20
  • 34K30
  • 34K40
  • Khasminskii approach
  • Pantograph problem
  • The averaging principle
  • ψ-Caputo derivative

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