Existence and Multiplicity of Solutions for Some Fractional Boundary Value Problem via Critical Point Theory

Jing Chen, Xianhua Tang

Abstract and Applied Analysis · 2012 · 49 citations · 28 references

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Abstract

We study the existence and multiplicity of solutions for the following fractional boundary value problem: , where F ( t , ·) are superquadratic, asymptotically quadratic, and subquadratic, respectively. Several examples are presented to illustrate our results.

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28