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Chen, Taiyong; Liu, Wenbin

Solvability of some boundary value problems for fractional \(p\)-Laplacian equation. (English) Zbl 1298.34010

Abstr. Appl. Anal. 2013, Article ID 432509, 6 p. (2013).
Summary: This paper considers the existence of solutions for two boundary value problems for fractional \(p\)-Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer’s fixed point theorem. As an application, an example to illustrate our results is given.

MSC:

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

Keywords:

Schaefer’s fixed point theorem
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\textit{T. Chen} and \textit{W. Liu}, Abstr. Appl. Anal. 2013, Article ID 432509, 6 p. (2013; Zbl 1298.34010)
Full Text: DOI

References:

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