Title: Sum operator methods for the existence and uniqueness of solution to infinite-point boundary value problems for fractional differential equations

Authors: Yupin Wang; Shurong Sun

Addresses: School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P.R. China ' School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P.R. China

Abstract: In this paper, we study infinite-point boundary value problems for a class of higher-order nonlinear factional differential equations involving the Riemann-Liouville derivative. By using sum operator methods, the existence and uniqueness of solution to this kind of problems is obtained and iterative sequence of the positive solution is structured. Two examples are provided for our new results.

Keywords: existence and uniqueness; fractional differential equation; Krasnoselskii's fixed point theorem; positive solution.

DOI: 10.1504/IJDSDE.2018.092662

International Journal of Dynamical Systems and Differential Equations, 2018 Vol.8 No.3, pp.161 - 175

Available online: 06 Dec 2017 *

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