Almost periodic fuzzy multidimensional dynamic systems and applications on time scales

C Wang, RP Agarwal, D O'Regan - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, we introduce a new division of fuzzy vectors depending on a determinant
algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems …

Calculus of fuzzy vector-valued functions and almost periodic fuzzy vector-valued functions on time scales

C Wang, RP Agarwal, D O'Regan - Fuzzy Sets and Systems, 2019 - Elsevier
In this paper, we establish an embedding theorem for the fuzzy multidimensional space and
introduce the new types of multiplications of fuzzy vectors determined by the determinant …

[HTML][HTML] Almost periodic solution for a new type of neutral impulsive stochastic Lasota–Wazewska timescale model

C Wang, RP Agarwal - Applied Mathematics Letters, 2017 - Elsevier
In this paper, we propose two new concepts of mean-square almost periodic stochastic
process based on a new concept of periodic time scales introduced by Adıvar (2013). Then …

[책][B] Theory of translation closedness for time scales

C Wang, RP Agarwal, D O'Regan, R Sakthivel - 2020 - Springer
The theory of time scales was initiated by S. Hilger in his PhD thesis [141] in 1988 in order to
unify continuous and discrete analysis. This new and exciting type of mathematics is more …

Almost periodic oscillations for delay impulsive stochastic Nicholson's blowflies timescale model

C Wang, RP Agarwal, S Rathinasamy - Computational and Applied …, 2018 - Springer
In this paper, we employ the new concepts of piecewise almost periodic stochastic process
on a new periodic time scale and study a type of delay impulsive stochastic Nicholson's …

A survey of function analysis and applied dynamic equations on hybrid time scales

C Wang, RP Agarwal - Entropy, 2021 - mdpi.com
As an effective tool to unify discrete and continuous analysis, time scale calculus have been
widely applied to study dynamic systems in both theoretical and practical aspects. In …

Periodicity, almost periodicity for time scales and related functions

C Wang, RP Agarwal, D O'Regan - Nonautonomous Dynamical …, 2016 - degruyter.com
In this paper, we study almost periodic and changing-periodic time scales considered
byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made …

[책][B] Stability, periodicity and boundedness in functional dynamical systems on time scales

M Adıvar, YN Raffoul - 2020 - Springer
The book provides an integrated approach to the study of the qualitative theory of dynamical
systems on time scales. It is aimed at postgraduate students and researchers with basic …

n0-order Δ-almost periodic functions and dynamic equations

C Wang, RP Agarwal, D O'Regan - Applicable Analysis, 2018 - Taylor & Francis
In this paper, using matched spaces for time scales, we introduce new types of almost
periodic functions, including-almost periodic functions and-order-almost periodic functions …

Weighted pseudo δ-almost automorphic functions and abstract dynamic equations

C Wang, RP Agarwal, D O'Regan - Georgian Mathematical Journal, 2021 - degruyter.com
In this paper, we propose the concept of a weighted pseudo δ-almost automorphic function
under the matched space for time scales and we present some properties. Also, we obtain …