Existence of Solutions for Discrete Fractional Boundary Value Problems with p-Laplacian Operator
Author(s): Yansheng HE, Chengmin HOU, Department of Mathematics, Yanbian University
Pages: 197-208
Year: 2014 Issue: 2
Journal: Journal of Mathematical Research and Exposition
Keyword: fractional difference; boundary value problem; variational framework; critical point theory.;
Abstract: By establishing the corresponding variational framework, and using the critical points theorem, we give the existence of multiple solutions for a fractional difference boundary value problem with p-Laplacian operator. Under some suitable assumptions we obtain the existence of a positive parameter such that the problem admits at least three solutions. Some examples are presented to illustrate the main results.
Pages: 197-208
Year: 2014 Issue: 2
Journal: Journal of Mathematical Research and Exposition
Keyword: fractional difference; boundary value problem; variational framework; critical point theory.;
Abstract: By establishing the corresponding variational framework, and using the critical points theorem, we give the existence of multiple solutions for a fractional difference boundary value problem with p-Laplacian operator. Under some suitable assumptions we obtain the existence of a positive parameter such that the problem admits at least three solutions. Some examples are presented to illustrate the main results.
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