Magnetic resonance brain image classification based on weighted‐type fractional Fourier transform and nonparallel support vector machine

YD Zhang, S Chen, SH Wang, JF Yang… - … Journal of Imaging …, 2015 - Wiley Online Library
To classify brain images into pathological or healthy is a key pre‐clinical state for patients.
Manual classification is tiresome, expensive, time‐consuming, and irreproducible. In this …

The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion …

G Gao, AA Alikhanov, Z Sun - Journal of Scientific Computing, 2017 - Springer
In this article, a special point is found for the interpolation approximation of the linear
combination of multi-term fractional derivatives. The derived numerical differentiation …

Generalized Bessel polynomial for multi-order fractional differential equations

M Izadi, C Cattani - Symmetry, 2020 - mdpi.com
The main goal of this paper is to define a simple but effective method for approximating
solutions of multi-order fractional differential equations relying on Caputo fractional …

Operational matrix method for solving fractional weakly singular 2D partial Volterra integral equations

I Zamanpour, R Ezzati - Journal of Computational and Applied Mathematics, 2023 - Elsevier
The main objective of the present study is to develop the operational matrix for fractional
integration. In order to find the numerical solution of non-linear fractional weakly singular two …

A numerical method for solving Caputo's and Riemann-Liouville's fractional differential equations which includes multi-order fractional derivatives and variable …

DE Betancur-Herrera, N Muñoz-Galeano - Communications in Nonlinear …, 2020 - Elsevier
In this paper, a numerical method is developed to obtain a solution of Caputo's and
Riemann-Liouville's Fractional Differential Equations (CFDE and RLFDE). Scientific …

Social spider optimisation based identification and optimal control of fractional order system

SA Mehta, DM Adhyaru - International Journal of Modelling …, 2021 - inderscienceonline.com
Fractional order derivatives and integrals are infinite-dimensional operators and non-local in
time. Currently, the researchers are working on the solution of the fractional optimal control …

Solving state feedback control of fractional linear quadratic regulator systems using triangular functions

O Baghani - Communications in Nonlinear Science and Numerical …, 2019 - Elsevier
The present paper is useful for two reasons. First, as far as we know, the right operational
matrix of the Riemann–Liouville fractional integral for triangular functions is introduced for …

Numerical solutions for fractional differential equations by Tau-Collocation method

T Allahviranloo, Z Gouyandeh, A Armand - Applied Mathematics and …, 2015 - Elsevier
The main purpose of this paper is to provide an efficient numerical approach for multi-order
fractional differential equations based on a Tau-Collocation method. To do this, multi-order …

[HTML][HTML] Numerical solution of the multi-order fractional differential equation using Legendre wavelets and eigenfunction approach

S Ranta, S Gupta, DK Sharma - Partial Differential Equations in Applied …, 2024 - Elsevier
An eigenfunction approach is implemented in this article to solve the multi-order fractional
differential equations (FDEs) with boundary conditions. The approximate unknown solution …

Triangular Function Method is Adopted to Solve Nonlinear Stochastic It –Volterra Integral Equations

G Jiang, D Chen, F Liu - Discrete Dynamics in Nature and …, 2024 - Wiley Online Library
This article presents the numerical solutions of nonlinear stochastic It o∧–Volterra integral
equations by using the basis function method under the global Lipschitz condition. Integral …