An existence of the solution for generalized system of fractional q-differential inclusions involving p-Laplacian operator and sequential derivatives

Abstract

Abstract In this paper, we investigate the presence of positive solutions for system of fractional q-differential inclusions involving sequential derivatives with respect to the p-Laplacian operator. By using fixed point technique we obtain a new solution for inclusion or boundary value problems with special integral and derivative conditions. At the end, we give an example to show the effect of the solution of this device. The conclusion is expressed to introduce future works.

Keywords

• Caputo fractional q-derivative
• System of fractional q-differential inclusions
• Riemann–Liouville fractional q-derivative
• p-Laplacian operator