On nonlinear fractional neutral differential equation with the ψ-Caputo fractional derivative

• Autorzy: Nabil Tamer

Identyfikatory

DOI

10.7862/rf.2020.7

• Języki publikacji: EN

Abstrakty

EN

In this article, the solvability of fractional neutral differential equation involving ψ-Caputo fractional operator is considered usinga Krasnoselskii’s fixed point approach. Also, we establish the uniquenessof the solution under certain conditions. Ulam stabilities for the proposedproblem are discussed. Finally, examples are displayed to aid the applicability of the theory results.

Słowa kluczowe

EN

Krasnoselskii's fixed point theory; ψ − Caputo operator; neutral differential equation; Ulam stability; existence of solution

PL

twierdzenie Krasnosielskiego o punkcie stałym; operator Caputa; równanie różniczkowe; stabilność Ulama; istnienie rozwiązań

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2020
• Tom: Vol. 43
• Strony: 99--112
• Opis fizyczny: Bibliogr. 36 poz.

Twórcy

autor

Nabil Tamer

• Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).