Existence and stability of impulsive coupled system of fractional integrodifferential equations

• Autorzy: Zada Akbar , Waheed Hira , Alzabut Jehad , Wang Xiaoming

Identyfikatory

DOI

10.1515/dema-2019-0035

• Języki publikacji: EN

Abstrakty

EN

In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and Krasnoselskii’s fixed point theorem. Hyers–Ulam stability is investigated by using classical technique of nonlinear functional analysis. Finally, we provide illustrative examples to support our obtained results.

Słowa kluczowe

EN

Caputo fractional derivative; impulsive condition; existence theory; uniqueness theory; Hyers-Ulam stability

PL

pochodna ułamkowa Caputo; istnienie; niepowtarzalność; stabilność Hyersa-Ulama

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 296--335
• Opis fizyczny: Bibliogr. 70 poz.

Twórcy

autor

Zada Akbar

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

autor

Waheed Hira

• 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

autor

Wang Xiaoming

• School of Mathematics & Computer Science, Shangrao Normal University, Shangrao 334001, China

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Uwagi

PL

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