Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations

RP Agarwal, B De Andrade, C Cuevas - Nonlinear Analysis: Real World …, 2010 - Elsevier
We study the existence and uniqueness of a weighted pseudo-almost periodic (mild)
solution to the semilinear fractional equation∂ tαu= Au+∂ tα− 1f (⋅, u), 1< α< 2, where A is …

New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications

J Blot, P Cieutat, K Ezzinbi - Applicable Analysis, 2013 - Taylor & Francis
The aim of this work is to present new approach to study weighted pseudo almost periodic
functions using the measure theory. We present a new concept of weighted ergodic …

Weighted pseudo-almost periodic solutions to some differential equations

T Diagana - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
The paper considers some new classes of functions called weighted pseudo-almost periodic
functions, which implement in a natural fashion the classical pseudo-almost periodic …

[PDF][PDF] On type of periodicity and ergodicity to a class of fractional order differential equations

RP Agarwal, B Andrade, C Cuevas - Advances in Difference Equations, 2010 - Springer
Research Article On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential
Equations Page 1 Hindawi Publishing Corporation Advances in Difference Equations Volume …

Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory

T Diagana, K Ezzinbi, M Miraoui - Cubo (Temuco), 2014 - SciELO Chile
Motivated by the recent works by the first and the second named authors, in this paper we
introduce the notion of doubly-weighted pseudo-almost periodicity (respectively, doubly …

Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations

C Cuevas, A Sepulveda, H Soto - Applied Mathematics and Computation, 2011 - Elsevier
We study the existence of almost periodic (resp., pseudo-almost periodic) mild solutions for
fractional differential and integro-differential equations in the case when the forcing term …

Piecewise pseudo-almost periodic solution for impulsive non-autonomous high-order Hopfield neural networks with variable delays

C Wang - Neurocomputing, 2016 - Elsevier
In this paper, we provide a new method to study non-autonomous dynamic systems with
variable pseudo-almost periodic coefficients. By using some fixed point theorems in Banach …

Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations

T Diagana - Journal of mathematical analysis and applications, 2009 - Elsevier
This paper is concerned with the study of weighted pseudo almost periodic solutions to
some classes of hyperbolic differential equations. Upon making some suitable assumptions …

Asymptotic periodicity for some evolution equations in Banach spaces

RP Agarwal, C Cuevas, H Soto, M El-Gebeily - Nonlinear Analysis: Theory …, 2011 - Elsevier
Asymptotic periodicity for some evolution equations in Banach spaces - ScienceDirect Skip
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Existence of μ−pseudo almost periodic solutions to some evolution equations

M Miraoui - Mathematical Methods in the Applied Sciences, 2017 - Wiley Online Library
In this article, a new approach for pseudo almost periodic solution under the measure
theory, under Acquistpace‐Terreni conditions. We make extensive use of interpolation …