SOME EXISTENCE RESULTS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS VIA FIXED POINT THEOREMS.

This paper is generally concerned with the existence of solutions for a certain class of fractional differential inclusions with boundary conditions. By means a known fixed point theorem, some existence results are obtained. Utilizing some contractions including α-ϕ-Geraghty contraction, we examine the existence of solutions for some fractional differential inclusions. An example is given to illustrate the results. [ABSTRACT FROM AUTHOR]