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Solvability of a boundary value problem for singular multi-term fractional differential system with impulse effects.

Authors :
Yang, Xiaohui
Liu, Yuji
Source :
Boundary Value Problems; 12/29/2015, Vol. 2015 Issue 1, p1-29, 29p
Publication Year :
2015

Abstract

In this article, we first of all convert the boundary value problems for impulsive fractional differential equations to integral equations. Second, we construct a weighted function space and prove the completely continuous property of a nonlinear operator. Finally, we establish existence results for solutions of a boundary value problem for a nonlinear impulsive fractional differential system. Our analysis relies on the well-known Schauder fixed point theorem. An example is given to illustrate main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16872762
Volume :
2015
Issue :
1
Database :
Complementary Index
Journal :
Boundary Value Problems
Publication Type :
Academic Journal
Accession number :
111999545
Full Text :
https://doi.org/10.1186/s13661-015-0504-4