[PDF] Top 20 A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
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A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... The Chebyshev polynomials are one of the most useful polynomials which are suitable in numerical analysis including polynomial approximation, in- tegral and differential ... See full document
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Second kind shifted Chebyshev polynomials and power series method for solving multi-order non-linear fractional differential equations
... Chebyshev polynomials of the second kind are well known family of orthogonal polynomials on the interval [− 1, 1 ] that have many applications ([2], [17], ...the approximation of functions ... See full document
10
On the solution of two sided fractional ordinary differential equations of Caputo type
... and fractional equations (see [16]-[17], [27]), this paper appeals to a probabilistic approach to study equations involving both left- sided and right-sided generalized operators of Caputo ... See full document
22
Representation of solution for a linear fractional delay differential equation of Hadamard type
... decades, fractional differential equations have been applied in engineering, physics, finance, and signal ...of fractional linear and non-linear differential equations of Caputo ... See full document
7
Approximate solutions of a sum type fractional integro differential equation by using Chebyshev and Legendre polynomials
... Thus, one can calculate the solution x(t) of the problem. Here, we provide two examples to illustrate our numerical methods. There is much work which provides some methods for numerical solutions of some types ... See full document
18
DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation
... merical solution of the third order fractional differential ...approximate solution is a good and effective numerical result which is close to the exact solution or the exact ...the ... See full document
10
Numerical solution of nonlinear fractional integro-differential equation by Collocation method
... shifted Chebyshev polynomials and shifted Legendre polynomials for the numerical solution of nonlinear fractional integro-differential equations ... See full document
7
A method for fractional Volterra integro differential equations by Laguerre polynomials
... The fractional calculus represents a powerful tool in applied mathematics to study nu- merous problems from different fields of science and engineering such as mathematical physics, finance, hydrology, biophysics, ... See full document
11
Chebyshev approximation with applications to the numerical solution of differential equations
... the linear discrete problem» The classical theory is surveyed, and an algorithm due to Stiefel (1959) is introduced» This algorithm, which was developed within the framework of the classical theory, is shown to be ... See full document
199
Numerical solution of gas solution in a fluid: fractional derivative model
... orthogonal polynomials work well for numerical solution of conventional differential equations, their application for the fractional differential equations implies at ... See full document
13
Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials
... After computing and substitute the collocation points we have asystem of linear equations. Solution of the system leads to the approximated solution of Abel’s integral equation. We solve some ... See full document
5
Numerical Solution of Fractional Order Delay Differential Equation using Shifted Chebyshev Polynomials of Second Kind
... To obtain the exact analytic solutions of Fractional Differential Equation,it is very difficult and some time impossible to deal with the complexities computations in these equations.So it is better,to look ... See full document
10
Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... nonlinear fractional differential equations using Adomian Decomposition with Chebyshev ...and Chebyshev basis ...exact solution obtained by taking the value of fractional ... See full document
9
Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... nonlinear fractional differential equations using Adomian Decomposition with Chebyshev ...and Chebyshev basis ...exact solution obtained by taking the value of fractional ... See full document
9
Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
... the differential quadrature method is that any derivative at a mesh point can be approx- imated by a weighted linear sum of all the functional values along a mesh line. The key procedure in the differential ... See full document
13
Local Solution of Delay Fractional Differential Equations
... (2) Where t [0, ], b 0, m [ ] 1, and [ ] denotes the integer part of . C D is the Caputo’s fractional derivative, f :[0, ] b B R is a given continuous function satisfying some ... See full document
6
Approximate Solution of Fuzzy Fractional Differential Equations
... The organization of the paper is as follows. In Section 2 we list some basic definitions of fuzzy numbers and fractional derivative and integral. Section 3 and Section 4 contain some theorems about fuzzy initial ... See full document
8
On the solution of some simple fractional differential equations
... We present simple methods of solution of some classes of fractional differential equations, namely those with constant coefficients standard I and those with power type coefficients with[r] ... See full document
16
Solution Of Integro-Differential Equation Of The Second Order With The Operators
... stability solution of integro-differential equations of second order with the operators by using both method Picard approximation and Banach fixed point ...integro- differential ... See full document
17
Analytic Solution of Linear Fractional Differential Equation Using Fractional Laplace Transform
... Definition 2.5. (Fractional Laplace Transform) If a function f(t) is defined for all positive values of the variable t and if E @ W N (−s N t N )f(t)(dt) N exists and is equal to (s) , then F(s) is called the ... See full document
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