Solvability of fractional differential equations with p-Laplacian at resonance

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摘要

In order to study boundary value problems with p-Laplacian, the extension for the continuous theorem of Ge and Ren is generalized. By using the new results and constructing suitable operators, we investigate the existence of solutions for p-Laplacian fractional differential equations at resonance. Examples are given to illustrate our results.

论文关键词:Continuous theorem,Fractional differential equation,Resonance,p-Laplacian,Boundary value problem

论文评审过程:Received 16 October 2014, Revised 31 December 2014, Accepted 11 March 2015, Available online 4 April 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.03.036