Results 231 to 240 of about 13,322,968 (309)

Generalized fractional-order Legendre wavelet method for two dimensional distributed order fractional optimal control problem

Journal of Vibration and Control, 2023
This paper is concerned with a two-dimensional fractional optimal control problem whose governing equations are distributed order fractional differential equations in the Caputo sense.
Nitin Kumar, M. Mehra
semanticscholar   +1 more source

Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations

Mathematical methods in the applied sciences, 2021
Mathematical modeling of uncertain fractional integrodifferentials (FIDEs) is an extremely significant topic in electric circuits, signal processing, electromagnetics, and anomalous diffusion systems.
Omar Abu Arqub, Jagdev Singh, Mohammed Alhodaly   +2 more
semanticscholar   +1 more source

Stabilisation of distributed-order nonlinear systems via event-triggered control

International Journal of Systems Science, 2023
This paper investigates the stability for a class of distributed-order nonlinear systems via event-triggered control method. First of all, an inequality of the solution is established for distributed-order nonlinear inequality systems by employing ...
Shijuan Li, Q. Song, Yurong Liu
semanticscholar   +1 more source

A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations

Communications in nonlinear science & numerical simulation, 2021
We provide a new effective method for the two-dimensional distributed-order fractional differential equations (DOFDEs). The technique is based on fractional-order Chebyshev wavelets.
Q. H. Do, Hoa T. B. Ngo, M. Razzaghi
semanticscholar   +1 more source

A kernel‐based pseudo‐spectral method for multi‐term and distributed order time‐fractional diffusion equations

Numerical Methods for Partial Differential Equations, 2022
In this paper, we focus on the study of a kernel‐based method in pseudo‐spectral (PS) mode for multi‐term and distributed order time‐fractional diffusion equations.
M. Fardi
semanticscholar   +1 more source

A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations

, 2021
In this paper, we propose a numerical method for solving distributed-order fractional partial differential equations (FPDEs). For this method, we first introduce fractional-order generalized Taylor wavelets (FOGTW).
Boonrod Yuttanan, M. Razzaghi, Thieu N. Vo   +2 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

A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients

Journal of Computational and Applied Mathematics, 2021
Fractional differential equations have been proved to be powerful tools for modelling anomalous diffusion in many fields of science and engineering. However, when comes to the anomalous diffusion characterized by two or more scaling exponents in the mean
Shuiping Yang, Fawang Liu, Libo Feng, I. Turner   +3 more
semanticscholar   +1 more source

POLARIZATION ORDERINGS OF INCOME DISTRIBUTIONS

Review of Income and Wealth, 2010
This paper considers an intermediate notion of polarization which is defined as a convex mix of relative and absolute concepts of polarization. While absolute polarization indices remain unchanged under equal absolute augmentation in all incomes, relative indices do not change under equiproportionate variations in all incomes.
D'AMBROSIO, CONCHITA, CHAKRAVARTY, SATYA
openaire   +2 more sources

On the formulation and numerical simulation of distributed-order fractional optimal control problems

Communications in Nonlinear Science and Numerical Simulation, 2017
M. Zaky, J. Machado
semanticscholar   +3 more sources