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 …

Numerical solution of variable-order fractional integro-partial differential equations via Sinc collocation method based on single and double exponential …

A Babaei, BP Moghaddam, S Banihashemi… - … in Nonlinear Science …, 2020 - Elsevier
This paper addresses the numerical solution of the multi-dimensional variable-order
fractional integro-partial differential equations. The upwind scheme and a piecewise linear …

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 …

An efficient approach based on Legendre–Gauss–Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo–Fabrizio fractional Volterra partial …

H Dehestani, Y Ordokhani - Journal of Computational and Applied …, 2022 - Elsevier
In the current study, we provide a novel technique based on discrete shifted Hahn
polynomials and Legendre–Gauss–Lobatto quadrature method for solving Caputo–Fabrizio …

Fractional order unknown inputs fuzzy observer for Takagi–Sugeno systems with unmeasurable premise variables

A Djeddi, D Dib, AT Azar, S Abdelmalek - Mathematics, 2019 - mdpi.com
This paper presents a new procedure for designing a fractional order unknown input
observer (FOUIO) for nonlinear systems represented by a fractional-order Takagi–Sugeno …

A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations

MH Heydari, Z Avazzadeh, Y Yang… - Computational and Applied …, 2020 - Springer
In this study, a computational approach based on the shifted second-kind Chebyshev
cardinal functions (CCFs) is proposed for obtaining an approximate solution of coupled …

Adaptive fuzzy variable structure control of fractional-order nonlinear systems with input nonlinearities

S Ha, L Chen, H Liu - International Journal of Fuzzy Systems, 2021 - Springer
The unknown dead-zone input nonlinearities (DZINs) are considered in the Riemann–
Liouville fractional-order nonlinear systems (FONSs) and the Caputo FONSs in this paper …

A new generalization of the fractional Euler–Lagrange equation for a vertical mass-spring-damper

D Baleanu, MZ Ullah, F Mallawi… - Journal of Vibration …, 2021 - journals.sagepub.com
In this new study, we investigate the motion of a forced mass-spring-damper in a vertical
position. First, the classical Lagrangian as well as the classical Euler–Lagrange equation of …

Chebyshev cardinal functions for a new class of nonlinear optimal control problems with dynamical systems of weakly singular variable-order fractional integral …

MH Heydari, MR Mahmoudi… - Journal of Vibration …, 2020 - journals.sagepub.com
The main objectives of this study are to introduce a new class of optimal control problems
governed by a dynamical system of weakly singular variable-order fractional integral …

Modeling, stability and fractional control of single flexible link robotic manipulator

AP Singh, D Deb, H Agrawal, VE Balas… - Fractional Modeling and …, 2021 - Springer
In the previous chapter, an FMPC controller is explored to control the FO model of robotic
manipulators. This chapter deals with the fractional order modeling, stability analysis and …