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[PDF] Top 20 A modified series solution method for fractional integro differential equations

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A modified series solution method for fractional integro differential equations

A modified series solution method for fractional integro differential equations

... It is almost true that most mathematical systems in real life problems are nonlinear in nature. In most of the times a common way of solving such nonlinear problems is to linearize the problem, where we replace the ... See full document

8

A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations

A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations

... of fractional calculated and Bernoulli ...of solution for the nonlinear frac- tional integro-differential equation ...proposed method for solving equation ...proposed method by ... See full document

22

On The Numerical Solution of Picard Iteration Method for Fractional Integro - Differential Equation

On The Numerical Solution of Picard Iteration Method for Fractional Integro - Differential Equation

... Approximation method also called the Picard Iteration Method (PIM) for solving Fractional integro-differential equations is ...The fractional derivative is considered in ... See full document

7

‎Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary ‎conditions‎

‎Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary ‎conditions‎

... om method is to approx- imate the integral operator by an operator that is derived by numerical integration formula (see [4] for a thorough knowledge of the ...this method to the nonlinear oper- ator of ... See full document

7

A numerical method for partial fractional Fredholm integro-differential equations

A numerical method for partial fractional Fredholm integro-differential equations

... a solution to be deter- mined. In this paper, we apply an expansion method based on some orthonormal polynomials for problem ...the differential and integral parts of a PFFIDE by their operational ... See full document

11

A method for fractional Volterra integro differential equations by Laguerre polynomials

A method for fractional Volterra integro differential equations by Laguerre polynomials

... This paper is organized as follows: In Sect. 2, the main matrix relations of the terms in Eq. (1) are established. In Sect. 3, the collocation method which is used to find the solution is introduced. In ... See full document

11

Numerical solution of nonlinear fractional integro-differential equation by Collocation method

Numerical solution of nonlinear fractional integro-differential equation by Collocation method

... by fractional differential equa- tions and hence the study of these type of equations is very important due to their frequent appearance in various appli- cations in fluid mechanics, biology, physics ... See full document

7

A new method for investigating approximate solutions of some fractional integro differential equations involving the Caputo Fabrizio derivative

A new method for investigating approximate solutions of some fractional integro differential equations involving the Caputo Fabrizio derivative

... functions k, s and h are not necessarily continuous. Since the left side of equation () is continuous, the right side so is as the problem () is a well-defined equation. For this reason, we supposed continuity of the ... See full document

12

Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials

Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials

... nonlinear fractional differential ...Decomposition method is applied to these equations by using Taylor series expansion and Chebyshev polynomial representation of source ... See full document

9

Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials

Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials

... nonlinear fractional differential ...Decomposition method is applied to these equations by using Taylor series expansion and Chebyshev polynomial representation of source ... See full document

9

Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs

Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs

... partial fractional differential equations, the Laplace and Fourier transformations on the one hand and separation of variables on the other ...integral method, the fractional (G 0 /G)- ... See full document

10

Hermite Wavelet Collocation Method for the Numerical Solution of Integral and Integro - Differential Equations

Hermite Wavelet Collocation Method for the Numerical Solution of Integral and Integro - Differential Equations

... and integro-differential equation is one of the important topics in applied mathematics and also found its applications in various fields of science and ...the solution of integral and ... See full document

17

Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method

Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method

... iteration method, which is a modified general Lagrange multiplier method [34] has been shown to solve effectively, easily and accurately, a large class of nonlinear problems with approximations which ... See full document

9

Existence and uniqueness of the global solution for a class of nonlinear fractional integro differential equations in a Banach space

Existence and uniqueness of the global solution for a class of nonlinear fractional integro differential equations in a Banach space

... In this paper, we establish the conditions for the existence of a unique solution for problem (1.1), which is indeed an important and useful contribution to the existing literature on the topic. We emphasize that ... See full document

10

Generalized Differential Transformation Method for Solving System of Linear Volterra Integro-Differential Equations of Fractional Order

Generalized Differential Transformation Method for Solving System of Linear Volterra Integro-Differential Equations of Fractional Order

... with fractional systems ,so the propose technique provide a good results for linear system of fractional integro- differential ...solve fractional linear ... See full document

18

Solution of fractional Volterra–Fredholm integro differential equations under mixed boundary conditions by using the HOBW method

Solution of fractional Volterra–Fredholm integro differential equations under mixed boundary conditions by using the HOBW method

... This problem is disbanded by HOBW which reduces the integral equation to a system of algebraic equations that is disbanded by Newton’s method. The consequence obtained by the method is compared with ... See full document

14

Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

... of fractional type of flatlet biorthogonal multiwavelet system is investigated in this ...the fractional differential and integro-differential ... See full document

15

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

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

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

7

Solution of Delay Differential Equations Using a Modified Power Series Method

Solution of Delay Differential Equations Using a Modified Power Series Method

... a Modified Power Series Method (MPSM) for the solution of delay differential ...power series method which is applied to solve only linear differ- ential equations, ... See full document

5

Spectral solution of fractional fourth order partial integro-differential equations

Spectral solution of fractional fourth order partial integro-differential equations

... spectral method is applied to solve the fractional fourth order partial integro-differential equations together with weak ...The method is easy to apply and produces very accurate ... See full document

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