Extremal solutions to a coupled system of nonlinear fractional differential equations with ψ–Caputo fractional derivatives

• Autorzy: Derbazi Choukri , Baitiche Zidane , Benchohra Mouffak , Graef John R.

Identyfikatory

DOI

10.7862/rf.2021.2

• Języki publikacji: EN

Abstrakty

EN

Using the well-known monotone iterative technique together with the method of upper and lower solutions, the authors investigate the existence of extremal solutions to a class of coupled systems of nonlinear fractional differential equations involving the ψ–Caputo derivative with initial conditions. As applications of this work, two illustrative examples are presented.

Słowa kluczowe

EN

Caputo fractional derivative; coupled system; extremal solutions; monotone iterative technique; upper and lower solutions

PL

pochodna ułamkowa Caputo; system sprzężony; rozwiązania ekstremalne; monotoniczna technika iteracyjna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2021
• Tom: Vol. 44
• Strony: 19--34
• Opis fizyczny: Bibliogr. 46 poz.

Twórcy

autor

Derbazi Choukri

• Laboratory of Mathematics and Applied Sciences, University of Ghardaia, 47000 Algeria, Algeria

• https://orcid.org/0000-0003-2830-1027

autor

Baitiche Zidane

• Laboratory of Mathematics and Applied Sciences, University of Ghardaia, 47000 Algeria, Algeria

• https://orcid.org/0000-0003-4841-5398

autor

Benchohra Mouffak

• Laboratory of Mathematics, Djillali Liabes University of Sidi-Bel-Abbes, Algeria

• https://orcid.org/0000-0003-3063-9449

autor

Graef John R.

• Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

• https://orcid.org/0000-0002-8149-4633

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 (2021).