Bifurcation techniques for a class of boundary value problems of fractional impulsive differential equations

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Authors
Yansheng Liu
 Department of Mathematics, Shandong Normal University, Jinan, 250014, P. R. China.
Abstract
This paper investigates the existence of positive solutions for a class of boundary value problems (BVP)
of fractional impulsive differential equations and presents a number of new results. First, by constructing
a novel transformation, the considered impulsive system is convert into a continuous system. Second,
using a specially constructed cone, the KreinRutman theorem, topological degree theory, and bifurcation
techniques, some sufficient conditions are obtained for the existence of positive solutions to the considered
BVP. Finally, an example is worked out to demonstrate the main result.
Share and Cite
ISRP Style
Yansheng Liu, Bifurcation techniques for a class of boundary value problems of fractional impulsive differential equations, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 4, 340353
AMA Style
Liu Yansheng, Bifurcation techniques for a class of boundary value problems of fractional impulsive differential equations. J. Nonlinear Sci. Appl. (2015); 8(4):340353
Chicago/Turabian Style
Liu, Yansheng. "Bifurcation techniques for a class of boundary value problems of fractional impulsive differential equations." Journal of Nonlinear Sciences and Applications, 8, no. 4 (2015): 340353
Keywords
 Positive solutions
 bifurcation techniques
 fractional differential equations with impulse
 boundary value problems.
MSC
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