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

Autor: Sun Bingzhi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Demonstratio Mathematica, Vol 57, Iss 1, Pp 121-140 (2024)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2024-0045
Popis: In this article, a functional boundary value problem involving mixed fractional derivatives with p(x)p\left(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.
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