학술저널
MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEM WITH FINITE FRACTIONAL DIFFERENCE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 2
-
2015.05173 - 186 (14 pages)
- 7
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 pro-vide sufficient conditions for the existence of at least three positive solutions.
1. Introduction
2. Preliminaries
3. Triple positive solutions
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