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

نویسندگان

  • Tingting Xue
  • Wenbin Liu
  • Tengfei Shen
چکیده

*Correspondence: [email protected] 1School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, P.R. China Full list of author information is available at the end of the article Abstract This paper is concerned with the solvability for fractional Sturm-Liouville boundary value problems with 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.

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تاریخ انتشار 2017