Weak solution for time-fractional strongly coupled three species cooperating model

Abstract

This article investigates the solvability of the time-fractional strongly coupled three-species cooperating system of equations with the Dirichlet boundary conditions. This model expresses the interactions of cooperating species. First, a suitable approximation problem is considered to overcome the strong degeneracy of the original model. Then, we establish the existence of a weak solution for the proposed system using the Faedo–Galerkin method and some compactness arguments.

Keywords

• Weak solution
• Fractional PDE
• Faedo Galerkin method