## African Diaspora Journal of Mathematics

### Asymptotic Behavior of Mild Solutions of Some Fractional Functional Integro-differential Equations

#### Abstract

In this paper, we prove a new composition theorem for asymptotically antiperiodic and weighted pseudo antiperiodic functions. We also give some sufficient conditions to ensure invertibility of convolution operators in the space of antiperiodic functions. Then we prove the existence and uniqueness of asymptotically antiperiodic mild solutions to some fractional functional integro-differential equations in a Banach space using the Banach's fixed point theorem.

#### Article information

Source
Afr. Diaspora J. Math. (N.S.), Volume 16, Number 1 (2013), 70-81.

Dates
First available in Project Euclid: 30 January 2014

Mathematical Reviews number (MathSciNet)
MR3161672

Zentralblatt MATH identifier
1294.47100

#### Citation

Mophou, Giséle; N'Guérékata, Gaston M.; Valmorin, Vincent. Asymptotic Behavior of Mild Solutions of Some Fractional Functional Integro-differential Equations. Afr. Diaspora J. Math. (N.S.) 16 (2013), no. 1, 70--81. https://projecteuclid.org/euclid.adjm/1391091308

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