Existence of Solutions of Boundary Value Problems for Fractional Differential Equations with p-Laplacian Operator in Banach Spaces. (3rd June 2017)

• Record Type: Journal Article
• Authors: Tan, Jing-jing; Cheng, Cao-zong
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 6(2017)
• Page Start: 738
• Page End: 753
• Publication Date: 2017-06-03
• Subjects: Boundary value problem -- fixed point theorem -- fractional differential equation -- noncompactness measure; 34B15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1293091
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we consider the existence of solutions for systems of nonlinear p-Laplacian fractional differential equations whose nonlinearity contains the first-order derivative explicity in Banach space E, where 𝜃 is the zero element of E, φ p is the p-Laplacian operator, i.e., with p >1, its inverse function is denoted by φ q with, and p, q satisfy, is standard Caputo derivative and f : I × E × E → E is continuous. Our main tool is the Sadovskii fixed point theorem.