This research attempts to investigate the spread and control of the COVID-19 virus in Nigeria using the Caputo fractional order derivative in a proposed model. Results:We proposed a competent nine-compartment model of Corona virus infection. It starts by demonstrating that the model is ...
Caputo–Fabrizio (CF) fractional derivativePint wilt diseaseMathematical modelFixed point theoremNumerical simulationA Caputo–Fabrizio type fractional order mathematical model for the dynamics of pine wilt disease (FPWD) is presented. The basic properties of the model are investigated. The existence and...
3) Caputo fractional derivative Caputo分数阶导数 1. Stable numerical approximation for Caputo fractional derivatives; Caputo分数阶导数的稳定数值逼近4) differential order 微分阶数5) fractional-order differential 分数阶微分 1. Equations between the differential order and the maximum of the fractional-...
In this paper we propose a class of central difference schemes for resolving the Caputo fractional derivative. The accuracy may reach any selected integer order. More precisely, the Caputo fractional derivative operator is decomposed into symmetric and antisymmetric components. Starting from difference sch...
The Caputo fractional derivative of order α is given as follows (formula). The above definition includes a Volterra integral equation with weakly singular kernels and difficult to calculate. In this paper, a faster convergence numerical schedule is given and applied to solve several fractional-...
The method can be considered the generalization of the three points formula for the first-order derivative. Two numerical examples are given and illustrative the effectiveness of the method. Keywords:Numerical solution; Caputo fractional derivative; fractional integral 0 引言 分数阶微积分是传统的整数阶...
TheapproximationfortheCaputofractionalderivativeoforderα(0<α<1)canberegardedasanumericalquadraturefortheintegralwithaweaklysingularkernal.Inordertomakethenumericalaccuracybetter,followingtheideaoftheL1−2formula,wetakeadvantageofahigherorderofLagrangeinterpolationpolynomialtoapproximatetheintegrandf(t)andthus,constru...
The fractional derivatives include nonlocal information and thus their calculation requires huge storage and computational cost for long time simulations. We present an efficient and high-order accurate numerical formula to speed up the evaluation of the Caputo fractional derivative based on the L 2-1...
Qualitative Analysis of a Fractional-Order for a Within-Host Infection Dynamics with Adaptive Immunity Using Caputo Derivative doi:10.1007/s40995-024-01768-9The objective of this paper is to introduce and study a within-host viral infection model via both modes of viral transmission mechanism; ...
In the present paper, thefractional derivative modelin Riemann-Liouville form is adopted to describe the viscous property of the matrix. 本文采用Riemann Liouville形式的分数阶导数模型描述基体的粘性特性 ,通过渐进均匀化方法给出了预测纤维加强复合材料整体本构关系的解析表达式 ,给出应用于基体具有Makris粘弹性...