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Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order

  MOUFFAK BENCHOHRA1, GASTON M. N’GUÉRÉKATA AND DJAMILA SEBA Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie email: Department of Mathematics, Morgan

Positive asymptotically almost periodic solutions of an impulsive hematopoiesis model

In this paper, we introduce the notion of impulsive asymptotically almost periodic functions and prove some basic properties of such functions. Then, we discuss the existence and exponential stability of positive asymptotically almost periodic solution for an impulsive hematopoiesis model. An example is given to illustrate our results.

Existence of Asymptotically Almost Automorphic Mild Solutions of Semilinear Fractional Differential Equations

, Baltimore, MD 21251, USA Correspondence should be addressed to Gaston M. N’Guérékata; moc.loa@atakereugn Received 21 December 2017; Revised 18 April 2018; Accepted 10 May 2018; Published 1 August 2018

Asymptotic Behavior of Nonlinear Evolution Equations

equation was also investigated. Finally, an alternative variational framework for image denoising was proposed and applied to evolution equations. Hui-Sheng Ding Carlos Lizama Gaston M. N’Guérékata Claudio

Almost Automorphic Random Functions in Probability

We introduce the notion of almost automorphic random functions in probability. Some basic and fundamental properties of such functions are established.

Almost Automorphic Random Functions in Probability

We introduce the notion of almost automorphic random functions in probability. Some basic and fundamental properties of such functions are established.

Some Properties of Weighted Pseudo almost Periodic Functions

Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost periodic functions and weighted pseudo almost periodic functions; secondly, we prove that the space of asymptotically almost...

Some Properties of Weighted Pseudo almost Periodic Functions

Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost periodic functions and weighted pseudo almost periodic functions; secondly, we prove that the space of asymptotically almost...