Existence of Nontrivial Solutions for Fractional Differential Equations with p-Laplacian

Li Zhang
Fanglei Wang
Yuanfang Ru

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Publication date

January 2019

DOI

10.1155/2019/3486410

Publisher

Hindawi Limited

Journal

Journal of Function Spaces

Abstract

Combining the properties of the Green function with some point theorems, we consider the existence of nontrivial solutions for fractional equations with p-Laplacian operator D0+βϕp[D0+α(ptu′(t))]+f(t,u(t))=0, 0<t<1, au(0)-bp0u′(0)=0, and cu(1)+dp1u′(1)=0, D0+αptu′tt=0=0, where a,b,c,d are constants and p(·):[0,1]→(0,+∞) is continuous

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Existence of Nontrivial Solutions for Fractional Differential Equations with p-Laplacian

Abstract

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Existence of Nontrivial Solutions for Fractional Differential Equations with p-Laplacian

Abstract

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