Sum operator methods for the existence and uniqueness of solution to infinite-point boundary value problems for fractional differential equations. Issue 3 (2018)

• Record Type: Journal Article
• Authors: Wang, Yupin; Sun, Shurong
• Is Part Of: International journal of dynamical systems and differential equations. Volume 8:Issue 3(2018)
• Page Start: 161
• Page End: 175
• Publication Date: 2018
• Subjects: existence and uniqueness -- fractional differential equation -- Krasnoselskii's fixed point theorem -- positive solution; Differential equations -- Periodicals; 515.35
• Languages: English
• ISSNs: 1752-3583

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.