Existence of Nontrivial Solutions for Fractional Differential Equations with p-Laplacian. (1st January 2019)

• Record Type: Journal Article
• Authors: Zhang, Li; Wang, Fanglei; Ru, Yuanfang
• Other Names: Zhang Xinguang Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2019(2019)
• Publication Date: 2019-01-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2019/3486410
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Combining the properties of the Green function with some point theorems, we consider the existence of nontrivial solutions for fractional equations withp -Laplacian operatorD 0 + β ϕ p [ D 0 + α ( p t u ′ ( t ) ) ] + f ( t, u ( t ) ) = 0, 0 < t < 1, a u ( 0 ) - b p 0 u ′ ( 0 ) = 0, andc u ( 1 ) + d p 1 u ′ ( 1 ) = 0, D 0 + α p t u ′ t t = 0 = 0, wherea, b, c, d are constants andp ( · ) : [ 0, 1 ] → ( 0, + ∞ ) is continuous.