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[PDF] Top 20 On Efficient Method for System of Fractional Differential Equations

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On Efficient Method for System of Fractional Differential Equations

On Efficient Method for System of Fractional Differential Equations

... integro-differential equations by using homotopy perturbation method,” Computers & Mathematics with Applications, ...perturbation method for the nonlinear dispersive Km,n,1 equations with ... See full document

15

Method of upper lower solutions for nonlinear system of fractional differential equations and applications

Method of upper lower solutions for nonlinear system of fractional differential equations and applications

... of fractional differential equations have been occupying an importance place in science and tech- ...nology.Fractional differential equations have been widely used for modeling various ... See full document

6

Wavelets operational methods for fractional differential equations and systems of fractional differential equations

Wavelets operational methods for fractional differential equations and systems of fractional differential equations

... of fractional derivatives, naturally lead to the formation of systems of differential equations of fractional order and to the necessity of solving such ...on fractional derivatives and ... See full document

63

Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations

Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations

... for system of implicit fractional differential equations for some ∈ ( − 1, ] , ∈ ℕ, where : × ℝ × ℝ → ℝ be a nonlinear continuous function, : → ℝ and is the Caputo-Hadamard derivative of order ... See full document

10

Differential inequalities for a finite system of hybrid Caputo fractional differential equations

Differential inequalities for a finite system of hybrid Caputo fractional differential equations

... basic fractional differential inequalities for a finite system of an initial value problem of hybrid fractional differential equations involving derivatives are proved with a ... See full document

8

Unique solution for a new system of fractional differential equations

Unique solution for a new system of fractional differential equations

... solutions method, mono- tone iterative method, and fixed index ...new method to study the existence and uniqueness of solutions for the following fractional ... See full document

19

Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method

Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method

... Lu+Ru+Nu=g (3.1) where L is the highest order derivative which is assumed to be easily invertible, R is a linear differential operator of order less than L, N represents the nonlinear terms, and g is the source ... See full document

10

A coupled system of fractional differential equations on the half-line

A coupled system of fractional differential equations on the half-line

... To our knowledge, some remarkable results on the existence and multiplicity of solu- tions for fractional differential equations have been discussed widely on finite intervals [14–33]. Instead, it is ... See full document

22

Attractivity for a k dimensional system of fractional functional differential equations and global attractivity for a k dimensional system of nonlinear fractional differential equations

Attractivity for a k dimensional system of fractional functional differential equations and global attractivity for a k dimensional system of nonlinear fractional differential equations

... k-dimensional system of fractional functional differential equations involving the Caputo fractional derivative by using the classical Schauder’s fixed-point ...k-dimensional system of ... See full document

14

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

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

... v  0   ,   1 , where D  u is the derivate of u of order  , D  v is the derivative of v of order  in the sense of Caputo. The algorithm is based on the fractional s s method. ... See full document

5

An efficient scheme for solving a system of fractional differential equations with boundary conditions

An efficient scheme for solving a system of fractional differential equations with boundary conditions

... collocation method is used to find an approximate solution of a system of differential equations of fractional order described in the Caputo ...proposed method to the system of ... See full document

13

Application of Rothe’s method to fractional differential equations

Application of Rothe’s method to fractional differential equations

... studied in [6], which is a well-known problem in fluid dynam- ics describing the motion of a accelerated particle in a viscous fluid in the influence of gravity. Govindaraj and Balachandran [10] discussed some ... 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 ...and efficient methods have been proposed so far, ... See full document

10

A Meshless Method for Numerical Solution of Fractional Differential Equations

A Meshless Method for Numerical Solution of Fractional Differential Equations

... solving fractional differential equations is ...collocation method. This technique plays an important role to reduce a fractional differential equation to a system of ... See full document

8

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

... decomposition method (ADM), variational iteration method (VIM), homotopy analysis method(HAM), homotopy perturbation method (HPM) and differential transform ...Generalized ... See full document

18

Some results for a four-point boundary value problems for coupled system involving Caputo derivative

Some results for a four-point boundary value problems for coupled system involving Caputo derivative

... for fractional differential equations had attracted the attention of many authors, see for example, [4, 6, 8, 9, 15, 16, 19, 27] and the references ...coupled system of fractional order ... See full document

15

Research on generalized space time fractional convection diffusion equation

Research on generalized space time fractional convection diffusion equation

... multinomial fractional ordinary differential ...Using fractional derivative model, it will lead to a series of fractional differential equations in most ...these ... See full document

5

Euler’s Method for Fractional Differential Equations

Euler’s Method for Fractional Differential Equations

... the fractional calculus gets involved in more and more areas, especially in control theory – viscoelastic, theory-electronic, chemicals - fractal theory and so ...for fractional differential ... See full document

19

Covariance Operators and the Central Limit Theory for "Loop" Markov Chains

Covariance Operators and the Central Limit Theory for "Loop" Markov Chains

... of fractional integrals and derivatives can been found in many fields of science and engineering such as viscoelasticity, fractional differential operators which have been used to describe materials ... See full document

9

Use of Euler’s Method for Fractional Differential Equations

Use of Euler’s Method for Fractional Differential Equations

... the fractional calculus gets involved in more and more areas, especially in control theory – viscoelastic, theory-electronic, chemicals -fractal theory and so ...for fractional differential ... See full document

15

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