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http://dx.doi.org/10.14403/jcms.2015.28.2.173

MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEM WITH FINITE FRACTIONAL DIFFERENCE  

He, Yansheng (Department of Mathematics Yanbian University)
Hou, Chengmin (Department of Mathematics Yanbian University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.2, 2015 , pp. 173-186 More about this Journal
Abstract
In this paper, we consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. We transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.
Keywords
multiple solutions; boundary value problem; fractional; fixed-point;
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