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

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. [ABSTRACT FROM AUTHOR]