Pseudo asymptotically periodic solutions of two-term time fractional differential equations with delay

Abstract

In this paper, the existence and uniqueness of pseudo $\mathcal{S}$-asymptotically ω-periodic mild solutions of class r for the nonlinear two-term time fractional differential equations with delay are investigated. The working tools are based on the generalization of the semigroup theory and fixed point theory. Finally, we present an application to a fractional partial differential equation with delay.