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

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 a...

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Bibliographic Details
Published in:Demonstratio Mathematica
Main Author: Sun Bingzhi
Format: Article
Language:English
Published: De Gruyter 2024-08-01
Subjects:
functional boundary condition
p(x)-laplacian
mixed fractional derivatives
fixed point theorem
coincidence degree theory
34a05
34a12
34b15
Online Access:https://doi.org/10.1515/dema-2024-0045
Description
Summary: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.
ISSN:2391-4661

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