Boundary value problems of singular multi‐term fractional differential equations with impulse effects. Issue 11 (3rd January 2016)

• Record Type: Journal Article
• Authors: Liu, Yuji
• Is Part Of: Mathematische Nachrichten. Volume 289:Issue 11/12(2016)
• Page Start: 1526
• Page End: 1547
• Publication Date: 2016-01-03
• Subjects: Impulsive multi‐term fractional differential equation -- boundary value problem -- Schaefer's fixed point theorem -- 34A37 -- 92D25 -- 34K15; Mathematics -- Periodicals; 510.5
• DOI: 10.1002/mana.201400339
• Languages: English
• ISSNs: 0025-584X

Abstract

Abstract : We study a class of boundary value problems for nonlinear impulsive fractional differential equations. A weighted function Banach space and a completely continuous nonlinear operator are constructed firstly. Some existence results for solutions of these problems are established continuously. Our analysis relies on the well known Schauder's fixed point theorem. Examples are given to illustrate the main results finally.