MAA Seminar

Following the positive feedback from last year seminar, we continue the online seminar activity this year 2021.

This online seminar is unofficial, meaning it is not affiliated to Cairo University, or any official entity.

Seminar Timing : Every Monday at 5pm, Egypt time (UTC+02:00).

Zoom link : https://us02web.zoom.us/j/81974977671?pwd=SmFrZWxlcjhrd2ZmNmVvSzNRTk05UT09

Meeting ID: 819 7497 7671

Passcode: Cauchy

Asymptotically periodic behavior of solutions to fractional non-instantaneous impulsive semilinear differential inclusions with sectorial operators

13 December 2021

Ahmed Gamal (King Faisal University)

Abstract : In this talk , we present two results concerning the existence of S-asymptotically periodic solutions for non-instantaneous impulsive ω-semilinear differential inclusions of order and generated by sectorial operators. In the first result, we apply a fixed point theorem for contraction multivalued functions. In the second result we use a compactness criteria in the space of bounded piecewise continuous functions defined on the unbounded interval. We adopt the fractional derivative in the sense of Caputo derivative.

Stochastic convolution equations

20 December 2021

Shimaa Elesaely (Carnegie Mellon University)

Abstract : Stochastic convolution equations are a generalization of stochastic differential equations which have recently turned out to play an important role in financial modeling in particular for the rough volatility models. The solutions of stochastic convolution equations are neither semimartingales nor Markov processes in general. In order to avoid using stochastic integration with respect to non-semimartingales, we use tools from the theory of finite-dimensional deterministic convolution equations and standard martingale and stochastic calculus arguments.

In this talk, we will discuss the existence of martingale and pathwise solutions for stochastic convolution equations.

Partial stabilization for some coupled wave system with KELVIN-VOIGT damping

27 December 2021

Nadia Souayeh (University of Tunis El Manar)

Abstract : We consider a system of wave equations coupled via velocity, with locally and partially distributed KELVIN-VOIGT damping and with different propagation speeds. We investigate the effectiveness of the indirect control, and we show that the stability of this kind of system depends on the smoothness of the damping coefficient.