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S-Asymptotically $$\varvec{\omega }$$ω-Periodic Mild Solutions of Neutral Fractional Differential Equations with Finite Delay in Banach Space

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In this paper, we present some results concerning the existence and uniqueness of S-asymptotically $$\omega $$ω-periodic solutions for a class of nonlinear fractional differential equations with finite delay in Banach… Click to show full abstract

In this paper, we present some results concerning the existence and uniqueness of S-asymptotically $$\omega $$ω-periodic solutions for a class of nonlinear fractional differential equations with finite delay in Banach space X. These results are new even in the case of $$X=\mathbb {R}^n$$X=Rn. Moreover, we apply the above results to study the S-asymptotically $$\omega $$ω-periodicity for the fractional-order diffusion equations and the fractional-order autonomous neural networks with delay.

Keywords: delay banach; equations finite; fractional differential; omega periodic; differential equations; finite delay

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017

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