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Liu, Xiping; Jia, Mei; Ge, Weigao

Multiple solutions of a \(p\)-Laplacian model involving a fractional derivative. (English) Zbl 1390.34059

Adv. Difference Equ. 2013, Paper No. 126, 12 p. (2013).
Summary: In this paper, we study the \(p\)-Laplacian model involving the Caputo fractional derivative with Dirichlet-Neumann boundary conditions. Using a fixed point theorem, we prove the existence of at least three solutions of the model. As an application, an example is included to illustrate the main results.

Cited in 52 Documents

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34A08 Fractional ordinary differential equations

Keywords:

\(p\)-Laplacian operator; Caputo fractional derivative; Dirichlet-Neumann boundary conditions; fixed point theorem
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References:

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