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Wang, Huiwen; Li, Fang

S-asymptotically \(T\)-periodic solutions for delay fractional differential equations with almost sectorial operator. (English) Zbl 1419.34040

Adv. Difference Equ. 2016, Paper No. 315, 10 p. (2016).
Summary: We address the existence and uniqueness of S-asymptotically \(T\)-periodic solution of delay fractional differential equations with almost sectorial operator in infinite dimensional Banach spaces. Under the weak assumptions, we obtain the existence and uniqueness result. An example is presented.

Cited in 5 Documents

MSC:

34A08 Fractional ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34K25 Asymptotic theory of functional-differential equations
34K37 Functional-differential equations with fractional derivatives

Keywords:

fractional differential equation; Caputo derivative; almost sectorial operator; S-asymptotically \(T\)-periodic; finite delay
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References:

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