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[PDF] Top 20 Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions

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Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions

Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions

... of spline function in the numerical treatment of ordinary differential equations [1]-[5] and delay differential equations [6]-[11] has been ...The fractional ... See full document

9

The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations

The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations

... Analytical solution of many applications, where the fractional differential equations appear, cannot be ...cubic polynomial spline- function-based method combined with shooting method is ... See full document

17

Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets

Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets

... Abstract—A numerical scheme, based on the cubic B-spline wavelets for solving fractional integro-differential equations is ...The fractional derivative of these wavelets are ... See full document

6

Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials

Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials

... block-pulse functions and Bernstein polynomials are introduced and derived operational matrices of integration P , dual Q, differentiation D, product C b and delay Del by a general ...the solution of ... See full document

18

A Meshless Method for Numerical Solution of Fractional Differential Equations

A Meshless Method for Numerical Solution of Fractional Differential Equations

... basis functions that contain a free parameter are theoretically spectrally ...linear system that is extremely ill-conditioned when the parameters of the method are such that the best accuracy is ... See full document

8

Local Solution of Delay Fractional Differential Equations

Local Solution of Delay Fractional Differential Equations

...   (4) Taking the set H : {  y   C [ r b , ]: ( ) y t   ( )} t for t   [ r , 0],|| y T  ||   K for t  [0, ] b , we can claim that H is a closed and convex subset of the Banach space of all continuous ... See full document

6

Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay

Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay

... the numerical solutions of FDDEs in ...Mittag-Leffler functions to approximate solutions for ...the solution of the FDDEs has been employed in ...the delay logistic ...approximate ... See full document

10

A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function

Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed

A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed

... the numerical solution of VIE's by using Bernsteins ...non- polynomial spline functions approach to find the solution of differential ...non- polynomial ... See full document

6

A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression

A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression

... perturbed delay differential equations have up to now not been satisfactorily discussed in numerical analysis literature; however, in recent years there has been a grow- ing interest in the ... See full document

14

Numerical Solution for Solving a System of Fractional Integro-differential Equations

Numerical Solution for Solving a System of Fractional Integro-differential Equations

... new numerical method for solving a linear system of fractional integro-differential equations is ...The fractional derivative is considered in the Caputo ...triangular ... See full document

7

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

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

... differential equations are found to be an effective tool to describe certain phys- ical phenomena such as damping laws, rheology, diffusion processes, and so ...solve fractional differential ...the ... See full document

18

Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations

Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations

... quintic spline technique for one-dimensional heat and wave ...degree spline approx- imation technique has been utilized for approximate solution of fourth-order time frac- tional ...new ... See full document

22

Numerical treatment for first order neutral delay differential equations using spline functions

Numerical treatment for first order neutral delay differential equations using spline functions

... neutral delay differential ...the solution on the first order neutral delay differential ...the solution of such these ...done using Matlab ... See full document

12

An Algorithm for the Numerical Solution of System of Fractional Differential Equations

An Algorithm for the Numerical Solution of System of Fractional Differential Equations

... nonlinear fractional differential equations do not have analytic solutions, so approximations and numerical techniques must be used [9-12 ...approximation solution to linear and non ... See full document

5

Research on generalized space time fractional convection diffusion equation

Research on generalized space time fractional convection diffusion equation

... multinomial fractional ordinary differential ...the solution and proposed three numerical solution methods to approximate the equation ...solution. Using fractional ... See full document

5

Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems

Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems

... Fractional differential equations have been of great interest ...of fractional calculus itself as well as its ...tional differential equations arise in rheology, dynamical ... See full document

7

Unique solution for a new system of fractional differential equations

Unique solution for a new system of fractional differential equations

... the upper and lower solutions method, the existence and uniqueness of solutions were established. On the other hand, fractional system have been investigated extensively, see [29–38]. In [33], the authors ... See full document

19

Online Full Text

Online Full Text

... Inverse Polynomial Scheme which has an advantage over all previously proposed methods of the same order as it is seen in Table II when it was compared with Runge-Kutta method of order 4 (RK4) and the Taylor’s ... See full document

6

About the Simulation of Stochastically Excited Elastic Systems and Their Stability

About the Simulation of Stochastically Excited Elastic Systems and Their Stability

... a numerical solution of differential equations, describing the motion of the system, and, in a case of the stability investigation of this motion, on the calculation of the top Liapunov ... See full document

6

Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space

Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space

... We deal with a class of coupled systems of neutral fractional integro-differential equations with infinite delay in a Banach space in this paper. Based on the Banach contraction principle and ... See full document

15

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