Existence of solutions for fractional Sturm-Liouville boundary value problems with p ( t ) $p(t)$ -Laplacian operator

Boundary Value Problems

卷:2017

Tingting Xue¹  Wenbin Liu¹  Tengfei Shen¹ 

[1] School of Mathematics, China University of Mining and Technology;

关键词: fractional differential equation;    boundary value problems;    p ( t ) $p(t)$ -Laplacian operator;    continuation theory;   

DOI  :  10.1186/s13661-017-0900-z

来源: DOAJ

【 摘 要 】

Abstract This paper is concerned with the solvability for fractional Sturm-Liouville boundary value problems with p ( t ) $p(t)$ -Laplacian operator at resonance using Mawhin’s continuation theorem. Sufficient conditions for the existence of solutions have been acquired, and they would extend the existing results. Furthermore, an example is provided to illustrate the main result.

【 授权许可】

Unknown