Existence of solutions for nonlinear problems involving mixed fractional derivatives with p(x)-Laplacian operator

• Autorzy: Sun Bingzhi

Identyfikatory

DOI

10.1515/dema-2024-0045

• Języki publikacji: EN

Abstrakty

EN

In this article, a functional boundary value problem involving mixed fractional derivatives with p(x)-Laplacian operator is investigated. Based on the fixed point theorems and Mawhin’s coincidence theory’s extension theory, some existence theorems are obtained in the case of non-resonance and the case of resonance. Some examples are supplied to verify our main results.

Słowa kluczowe

EN

functional boundary condition; p(x)-Laplacian; mixed fractional derivatives; fixed point theorem; coincidence degree theory

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240045
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Sun Bingzhi

• Department of Mathematics, Luoyang Normal University, Luoyang, Henan, China

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2026).