Existence and Oscillatory Results for Caputo Tempered Fractional Differential Equations and Inclusions

• Autorzy: Bettayeb Nawal , Salim Abdelkrim , Lazreg Jamal Eddine , Benchohra Mouffak

Warianty tytułu

PL

Istnienie i wyniki oscylacyjne dla równań różniczkowych ułamkowych i inkluzji Caputo

• Języki publikacji: EN

Abstrakty

EN

This paper addresses matters pertaining to the existence of solutions, both oscillatory and nonoscillatory, for specific class of Caputo tempered fractional differential equations and inclusions. We achieve this through the application of setvalued analysis, Schauder’s and Martelli’s fixed point theorems, and the approach involving upper and lower solutions. Two examples are included to illustrate our main results.

PL

W tym artykule omówiono kwestie dotyczące istnienia rozwiązań, zarówno oscylacyjnych, jak i nieoscylacyjnych, dla określonej klasy równań różniczkowych ułamkowych i inkluzji Caputo temperowanych. Osiągamy to poprzez zastosowanie analizy wartości zbiorowych, twierdzeń o punktach stałych Schaudera i Martellego oraz podejścia obejmującego rozwiązania górne i dolne. W celu zilustrowania naszych głównych wyników zamieszczono dwa przykłady.

Słowa kluczowe

EN

Caputo tempered fractional derivative; upper solution; lower solution; oscillation; nonoscillation; fixed point

PL

pochodna ułamkowa hartowana Caputo; górne rozwiązanie; dolne rozwiązanie; oscylacja; nieoscylowanie; punkt stały

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2024
• Tom: Vol. 52, no. 1
• Strony: 149--171
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Bettayeb Nawal

• Djillali Liabes University of Sidi Bel-Abbes Laboratory of Mathematics P.O. Box 89, Sidi Bel-Abbes 22000, Algeria

• https://orcid.org/0009-0003-4230-9241

autor

Salim Abdelkrim

• Djillali Liabes University of Sidi Bel-Abbes P. Box 89, Mathematics Laboratory Djillali Liabes University of Sidi Bel-Abbes, Algeria
• Hassiba Benbouali University of Chlef Faculty of Technology, P.O. Box 151 Chlef 02000, Algeria

• https://orcid.org/0000-0003-2795-6224

autor

Lazreg Jamal Eddine

• Djillali Liabes University of Sidi Bel-Abbes Laboratory of Mathematics P.O. Box 89, Sidi Bel-Abbes 22000, Algeria

• https://orcid.org/0000-0001-5585-2022

autor

Benchohra Mouffak

• Djillali Liabes University of Sidi Bel-Abbes Laboratory of Mathematics P.O. Box 89, Sidi Bel-Abbes 22000, Algeria

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

Bibliografia

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