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

Volume 8, Issue 4, pp 340--353 http://dx.doi.org/10.22436/jnsa.008.04.07

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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 Krein-Rutman 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.

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Keywords

• Positive solutions
• bifurcation techniques
• fractional differential equations with impulse
• boundary value problems.

MSC

•  34A60
•  34B16
•  34B18

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