Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference

Autor: Yansheng He, Mingzhe Sun, Chengmin Hou
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2014 (2014)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2014/147975
Popis: We consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. And 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.
Databáze: Directory of Open Access Journals