Fractional calculus

Some Applications of Fractional Calculus in Engineering

J. A. Tenreiro Machado, Manuel F. Silva, Ramiro S. Barbosa, Isabel S. Jesus, Cecília Reis, Maria G. Marcos, Alexandra M. Galhano

Citations: 333 • 2009

Fractional Order Calculus: Basic Concepts and Engineering Applications

Ricardo Enrique Gutiérrez Carvajal, João Maurício Rosário, J. A. Tenreiro Machado

Citations: 287 • 2010

Short memory principle and a predictor–corrector approach for fractional differential equations

Weihua Deng

Citations: 268 • 2006

Artificial neural networks: a practical review of applications involving fractional calculus

E. Viera-Martin, J. F. Gómez‐Aguilar, J.E. Solís-Pérez, J.A. Hernández, R.F. Escobar-Jiménez

Citations: 146 • 2022

A Novel Design of a Neural Network-Based Fractional PID Controller for Mobile Robots Using Hybridized Fruit Fly and Particle Swarm Optimization

Ghusn Abdul Redha Ibraheem, Ahmad Taher Azar, Ibraheem Kasim Ibraheem, Amjad J. Humaidi

Citations: 93 • 2020

A Review on Fractional-Order Modelling and Control of Robotic Manipulators

Kishore Bingi, B Rajanarayan Prusty, Abhaya Pal Singh

Citations: 83 • 2023

An expert 2DOF fractional order fuzzy PID controller for nonlinear systems

Vijay Mohan, Himanshu Chhabra, Asha Rani, Vijander Singh

Citations: 68 • 2018

A switching-based collaborative fractional order fuzzy logic controllers for robotic manipulators

Richa Sharma, Shubhendu Bhasin, Prerna Gaur, Deepak Joshi

Citations: 66 • 2019

Trajectory tracking of Stanford robot manipulator by fractional-order sliding mode control

S. Chávez-Vázquez, J. E. Lavín-Delgado, J. F. Gómez‐Aguilar, José R. Razo-Hernández, Sina Etemad, Shahram Rezapour

Citations: 64 • 2023

A fractional adaptation law for sliding mode control

Mehmet Önder Efe, Çoşku Kasnakoğlu

Citations: 61 • 2008

Adaptive fractional tracking control of robotic manipulator using fixed-time method

Saim Ahmed, Ahmad Taher Azar

Citations: 54 • 2023

Complex Fractional-Order LQIR for Inverted-Pendulum-Type Robotic Mechanisms: Design and Experimental Validation

Omer Saleem, Faisal Abbas, Jamshed Iqbal

Citations: 49 • 2023

Robust nonlinear fractional order fuzzy PD plus fuzzy I controller applied to robotic manipulator

Himanshu Chhabra, Vijay Mohan, Asha Rani, Vijander Singh

Citations: 48 • 2019

Linear quadratic regulator problem governed by granular neutrosophic fractional differential equations

Nguyen Thi Kim Son, Nguyen Phuong Dong, Hoàng Việt Long, Lê Hoàng Sơn, A. Khastan

Citations: 44 • 2019

Design Fractional-order PID Controllers for Single-Joint Robot Arm Model

Iqbal M. Batiha, Suhaib A. Njadat, Radwan M. Batyha, Amjed Zraiqat, Amer Dababneh, Shaher Momani

Citations: 43 • 2022

Modeling a multi-robot system with fractional-order differential equations

Bill Goodwine

Citations: 41 • 2014

Control of a Two Link Planar Electrically-Driven Rigid Robotic Manipulator Using Fractional Order SOFC

Ahmad Taher Azar, Jitendra Kumar, Vineet Kumar, K.P.S. Rana

Citations: 41 • 2017

A Kelvin-Voight Fractional Derivative Model for Viscoelastic Characterization of Liver Tissue

Lawrence S. Taylor, Amy L. Lerner, Deborah J. Rubens, Kevin J. Parker

Citations: 38 • 2002

Application of Fractional Calculus in the Dynamical Analysis and Control of Mechanical Manipulators

N. M. Fonseca Ferreira, Fernando B. Duarte, Miguel F. M. Lima, Maria G. Marcos, J. A. Tenreiro Machado

Citations: 38 • 2008

Numerical solution of fractional partial differential equations by numerical Laplace inversion technique

Mohammad Javidi, Bashir Ahmad

Citations: 35 • 2013