Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type

• Autorzy: Ahmad Manzoor , Zada Akbar , Alzabut Jehad

Identyfikatory

DOI

10.1515/dema-2019-0024

• Języki publikacji: EN

Abstrakty

EN

In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer-Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem. Different types of Hyers-Ulam stability are also discussed. We provide an example demonstrating consistency to the theoretical findings.

Słowa kluczowe

EN

Hilfer-Hadamard type fractional differential equations; Krasnoselskii's fixed point theorem; implicit switched coupled systems; Hyers-Ulam stability

PL

równania różniczkowe cząstkowe; twierdzenie o punkcie stałym; stabilność Hyersa-Ulama

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 283--295
• Opis fizyczny: Bibliogr. 57 poz.

Twórcy

autor

Ahmad Manzoor

• Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

autor

Zada Akbar

• Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

autor

Alzabut Jehad

• Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).