Qualitative Investigation of Nonlinear Fractional Coupled Pantograph Impulsive Differential Equations

  1. Kamal Shah 1
  2. Israr Ahmad
  3. Juan J. Nieto 2
  4. Ghaus Ur Rahman 3
  5. Thabet Abdeljawad 4
  1. 1 Prince Sultan University & University of Malakand
  2. 2 Universidade de Santiago de Compostela
    info

    Universidade de Santiago de Compostela

    Santiago de Compostela, España

    ROR https://ror.org/030eybx10

  3. 3 University of Swat (Pakistan)
  4. 4 China Medical University
    info

    China Medical University

    Taichung, Taiwán

    ROR https://ror.org/00v408z34

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Revista:
Qualitative theory of dynamical systems

ISSN: 1575-5460

Ano de publicación: 2022

Volume: 21

Número: 4

Tipo: Artigo

DIALNET GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: Qualitative theory of dynamical systems

Resumo

In this manuscript a qualitative analysis to a nonlinear coupled system of pantograph impulsive fractional differential equations (PIFDEs) is established. By the use of Banach and Krasnoselskii’s fixed-point theorems some adequate conditions for the existence and uniqueness of solution to the considered problem are developed. The advantage of using Krasnoselskii’s fixed-point theorem is that it uses slight relax compact conditions as compared to other fixed point results. Furthermore, the manuscript is enriched by adding some results about Ulam–Hyers type stability. Finally, with the help of pertinent examples, the obtained theoretical results are justified.

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Fonte de datos: Dialnet