Asymptotic periodicity for a class of fractional integro--differential equations

Volume 9, Issue 2, pp 506--517 http://dx.doi.org/10.22436/jnsa.009.02.16

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Authors

Zhong-Hua Wu - Basis Course Department, Guangzhou Nanyang Polytechnic, Guangzhou 510925, China.

Abstract

In this paper, we are concerned with the existence and uniqueness of S-asymptotically \(\omega\)-periodic solutions to a class of fractional integro-differential equations. Some sufficient conditions are established about the existence and uniqueness of S-asymptotically \(\omega\)-periodic solutions to the fractional integro-differential equation by applying fixed point theorem combined with sectorial operator, where the nonlinear perturbation term f is a Lipschitz case and non-Lipschitz case.

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Keywords

• Fractional integro-differential equation
• S-asymptotically \(\omega\)-periodic
• fixed point
• mild solutions
• sectorial operator.

MSC

•  34G20
•  35B40
•  42A75

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