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 …

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 …

Command filtered adaptive neural network synchronization control of fractional-order chaotic systems subject to unknown dead zones

S Ha, L Chen, H Liu - Journal of the Franklin Institute, 2021 - Elsevier
Command filters are essential for alleviating the inherent computational complexity (ICC) of
the standard backstepping control method. This paper addresses the synchronization …

[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 …

Natural transform decomposition method for solving fractional-order partial differential equations with proportional delay

R Shah, H Khan, P Kumam, M Arif, D Baleanu - Mathematics, 2019 - mdpi.com
In the present article, fractional-order partial differential equations with proportional delay,
including generalized Burger equations with proportional delay are solved by using Natural …

Mittag–Leffler stability of nabla discrete fractional-order dynamic systems

Y Wei, Y Wei, Y Chen, Y Wang - Nonlinear Dynamics, 2020 - Springer
In the present study, the definition of discrete Mittag–Leffler stability is derived to
characterize convergence rule of the pseudostates for nabla discrete fractional-order …

Modeling and control of robotic manipulators: A fractional calculus point of view

AP Singh, D Deb, H Agrawal, K Bingi… - Arabian Journal for …, 2021 - Springer
This paper deals with the fractional-order modeling, stability analysis and control of robotic
manipulators, namely a single flexible link robotic manipulator (SFLRM) and 2DOF Serial …

Application of variable-order fractional calculus in solid mechanics

BP Moghaddam, A Dabiri… - Applications in Engineering …, 2019 - degruyter.com
This chapter discusses the adoption of fractional derivative operators in modeling
viscoelastic materials and their creep behavior. The damper elements in three conventional …

Numerical simulation of fractional-order dynamical systems in noisy environments

ZS Mostaghim, BP Moghaddam… - … and Applied Mathematics, 2018 - Springer
In this paper, the fully discrete scheme is proposed based on the Simpson's quadrature
formula to approximate fractional-order integrals for noisy signals. This strategy is extended …