Pseudo asymptotically periodic solutions of two-term time fractional differential equations with delay. (English) Zbl 1325.34089
Summary: Existence and uniqueness of pseudo \(\mathcal{S}\)-asymptotically \(\omega\)-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.
MSC:
34K37 | Functional-differential equations with fractional derivatives |
47N20 | Applications of operator theory to differential and integral equations |
34K30 | Functional-differential equations in abstract spaces |