FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane–Emden system

Z Sabir, MAZ Raja, M Shoaib, JFG Aguilar - Computational and Applied …, 2020 - Springer
In the present study, a novel fractional Meyer neuro-evolution-based intelligent computing
solver (FMNEICS) is presented for numerical treatment of doubly singular multi-fractional …

A numerical study of fractional rheological models and fractional Newell-Whitehead-Segel equation with non-local and non-singular kernel

NH Tuan, RM Ganji, H Jafari - Chinese Journal of Physics, 2020 - Elsevier
In the recent years, few type of fractional derivatives which have non-local and non-singular
kernel are introduced. In this work, we present fractional rheological models and Newell …

Dynamical analysis of a novel discrete fractional SITRS model for COVID-19

AMR Elsonbaty, Z Sabir, R Ramaswamy, W Adel - Fractals, 2021 - World Scientific
In this paper, a discrete fractional Susceptible-Infected-Treatment-Recovered-Susceptible
(SITRS) model for simulating the coronavirus (COVID-19) pandemic is presented. The …

Finite-time stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks

M Zheng, L Li, H Peng, J Xiao, Y Yang, Y Zhang… - … in Nonlinear Science …, 2018 - Elsevier
This paper mainly studies the finite-time stability and synchronization problems of memristor-
based fractional-order fuzzy cellular neural network (MFFCNN). Firstly, we discuss the …

A hybrid functions numerical scheme for fractional optimal control problems: application to nonanalytic dynamic systems

F Mohammadi, L Moradi, D Baleanu… - Journal of Vibration …, 2018 - journals.sagepub.com
In this paper, a numerical scheme based on hybrid Chelyshkov functions (HCFs) is
presented to solve a class of fractional optimal control problems (FOCPs). To this end, by …

An efficient nonstandard finite difference scheme for a class of fractional chaotic systems

M Hajipour, A Jajarmi… - Journal of …, 2018 - asmedigitalcollection.asme.org
In this paper, we formulate a new nonstandard finite difference (NSFD) scheme to study the
dynamic treatments of a class of fractional chaotic systems. To design the new proposed …

[HTML][HTML] Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods

A Dabiri, EA Butcher - Applied Mathematical Modelling, 2018 - Elsevier
This paper discusses a general framework for the numerical solution of multi-order fractional
delay differential equations (FDDEs) in noncanonical forms with irrational/rational multiple …

A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

MA Zaky - Computational and Applied Mathematics, 2018 - Springer
In this study, a Legendre spectral tau method is revisited to handle the multi-term time-
fractional diffusion equations (MTT-FDEs). An error estimate and rigorous convergence …

Thermoelastic fractional derivative model for exciting viscoelastic microbeam resting on Winkler foundation

AE Abouelregal - Journal of vibration and control, 2021 - journals.sagepub.com
In the current investigation, the thermoelastic vibration of a viscoelastic microbeam resting
on the Winkler foundation is studied using the fractional-order theory. To describe the …

Computational scheme for solving nonlinear fractional stochastic differential equations with delay

BP Moghaddam, A Mendes Lopes… - Stochastic Analysis …, 2019 - Taylor & Francis
This paper studies the numerical solution of fractional stochastic delay differential equations
driven by Brownian motion. The proposed algorithm is based on linear B-spline …