Results 281 to 290 of about 11,089,487 (322)

Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bothayna S. H. Kashkari, Muhammed I. Syam   +1 more
openaire   +2 more sources

FRACTIONAL RELAXATION OF DISTRIBUTED ORDER

Complexus Mundi, 2006
The first-order differential equation of exponential relaxation can be generalized by replacing the time-derivative by a fractional derivative of Caputo type, more generally by an integral over such fractional derivatives, the order of differentiation being the variable of integration.
R. Gorenflo, MAINARDI, FRANCESCO
openaire   +2 more sources

Neural-Network-Based Adaptive DSC Design for Switched Fractional-Order Nonlinear Systems

IEEE Transactions on Neural Networks and Learning Systems, 2020
Due to the particularity of the fractional-order derivative definition, the fractional-order control design is more complicated and difficult than the integer-order control design, and it has more practical significance.
Shuai Sui, C. L. P. Chen, Shaocheng Tong
semanticscholar   +1 more source

An efficient computational approach for a fractional-order biological population model with carrying capacity

Chaos, Solitons & Fractals, 2020
In this article, we examine a fractional-order biological population model with carrying capacity. The blended homotopy techniques pertaining to the Sumudu transform are utilized to explore the solutions of a nonlinear fractional-order population model ...
Hari M. Srivastava, V. Dubey, Rajnesh Kumar, Jagdev Singh, Devendra Kumar, Dumitru Băleanu   +5 more
semanticscholar   +1 more source

Fractional derivatives and cauchy problem for differential equations of fractional order

, 2020
Editorial Note: This is a paper by M.M. Djrbashian and A.B. Nersesian of 1968, that was published in Russian. There is a constant interest to Djrbashian’s contributions to the topic of fractional calculus and theory of Mittag-Leffler function ...
M.M. Dzherbashian, A. B. Nersesian
semanticscholar   +1 more source

A Novel Fractional Order Model for State of Charge Estimation in Lithium Ion Batteries

IEEE Transactions on Vehicular Technology, 2019
Battery models are the cornerstone to battery state of charge (SOC) estimation and battery management systems in electric vehicles. This paper proposes a novel fractional-order model for a battery, which considers both Butler–Volmer equation and ...
R. Xiong, Jinpeng Tian, W. Shen, Fengchun Sun   +3 more
semanticscholar   +1 more source

Variable Order and Distributed Order Fractional Operators

Nonlinear Dynamics, 2002
Many physical processes appear to exhibit fractional order behaviour that may vary with time or space. The continuum of order in the fractional calculus allows the order of the fractional operator to be considered as a variable. The paper develops the concept of variable and distributed order fractional operators.
Lorenzo, Carl F., Hartley, Tom T.
openaire   +2 more sources

Bifurcation Mechanism for Fractional-Order Three-Triangle Multi-delayed Neural Networks

Neural Processing Letters, 2022
Changjin Xu, Zixin Liu, Peiluan Li, Jinling Yan, Lingyun Yao   +4 more
semanticscholar   +1 more source

Variable Order Fractional Controllers

Asian Journal of Control, 2012
AbstractThis paper addresses variable order fractional controllers. Four situations where variable order fractional controllers may be used to cope with time‐varying plants are used as examples. In all cases a constant phase margin is sought, thus resulting in a constant overshoot in step responses, which is otherwise unattainable.
Valério, Duarte, Sá Da Costa, José
openaire   +2 more sources

A Modified Fractional-Order Unscented Kalman Filter for Nonlinear Fractional-Order Systems

Circuits, Systems, and Signal Processing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdolrahman Ramezani, Behrouz Safarinejadian   +1 more
openaire   +2 more sources