Sign in
Back
Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions
Journal article   Open access  Peer reviewed

Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions

Arshad Ali, Ibrahim Mahariq, Kamal Shah, Thabet Abdeljawad and Bahaa Al-Sheikh
Advances in difference equations, Vol.2021(1), pp.1-17
19/01/2021
DOI: https://doi.org/10.1186/s13662-021-03218-x

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
In this paper, we study an initial value problem for a class of impulsive implicit-type fractional differential equations (FDEs) with proportional delay terms. Schaefer’s fixed point theorem and Banach’s contraction principle are the key tools in obtaining the required results. We apply our results to a numerical problem for demonstration purpose.
url
https://doi.org/10.1186/s13662-021-03218-xView
Published (Version of record) Open

Metrics

1 Record Views

Details