| This paper mainly studies the existence and Hyers-Ulam stability of weighted pseudo almost periodicity solution for Weyl-Liouville fractional evolution equations.In the second chapter,based on the assumptions of nonlinear terms and the compactness of semigroups,the existence of the weighted pseudo almost periodic solution of the fractional evolution equation is obtained by using Schauder fixed point theorem.Then Hyers-Ulam stability of the fractional evolution equation is obtained by the definition of Hyers-Ulam stability.In the third chapter,based on the assumptions of nonlinear terms with integral terms,the weighted pseudo almost periodic solutions of fractional evolution equations with integral terms are obtained by using Banach fixed point theorem and Schauder fixed point theorem.Then Hyers-Ulam stability of the fractional evolution equation with integral terms is obtained by the definition of Hyers-Ulam stability. |
