Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension

We construct families of fundamental, dipole, and tripole solitons in the fractional Schr\"{o}dinger equation (FSE)\ incorporating self-focusing cubic defocusing quintic terms modulated by factors $\cos ^{2}x$ $\sin^{2}x$, respectively. While fundamental are similar to those model with uniform nonlinearity, multipole complexes exist only presence nonlinear lattice. The shapes stability all strongly depend on L\'{e}vy index (LI)\ that determines FSE fractionality. Stability areas identified plane LI propagation constant means numerical methods, some results explained help an analytical approximation. broadest for narrowest tripoles.