[PDF] Top 20 DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation
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DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation
... [6] L. Su, W. Wang, Z. Yang. Finite difference approximations for the frac- tional advection-diffusion equation. Physics Letters A., 373:4405-4408.2009. [7] C. Tadjeran, M. M. Meerschaert, H. -P. Scheffler. A ... See full document
10
A New Numerical Method to Solve Non Linear Fractional Differential Equations
... In the present work, we introduce a blend of Natural transform and homotopy perturbation method. We explored the methodology for the construction of the new twisting scheme and employed to compute the analytic ... See full document
6
29. Global solvability and mann iteration method with error for a third order nonlinear neutral delay differential equation
... differential equation are established. Moreover, a per- turbed Mann iteration method with error is constructed for approximating the solution of the third order differential equation, and ... See full document
20
Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... the method of upper and lower solutions, to obtain the existence of solutions for problem () by establishing a comparison theorem, and to give a specific iterative ...the method of upper and lower ... See full document
9
Asymptotic behavior of a third order nonlinear neutral delay differential equation
... of third-order neutral differential ...comparison method which is used to reduce the third-order neutral differential equations to the first-order differential equations or ... See full document
7
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G) Expansion Method
... -expansion method has been extended to solve the nonlinear partial differential equation of frac- tional order, in the sense of modified Riemann-Liouville ...the fractional ... See full document
6
Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
... another method to produce a more efficient ...efficient method for solving PDEs and ODEs (ordinary differential equations) with integer or fractional ...variables method is developed ... See full document
9
Four-Step Block Method for Solving Third Order Ordinary Differential Equation
... Block- method of Hybrid Linear Multistep Method derived by collocation and interpolation technique with power series as basis function for direct solution of special third order initial ... See full document
14
Exact solutions of a linear fractional partial differential equation via characteristics method
... of fractional calculus are expressed, and the characteristics method for linear FDEs is explained ...in order to clear the mentioned method, by substituting certain functions within ... See full document
7
Generalized Mittag Leffler function method for solving Lorenz system
... new method for solving system of nonlinear fractional differential equations (Lorenz ...perturbation method (HPM) and Variational iteration method (VIM), the results of HPM and ... See full document
7
The shooting method and integral boundary value problems of third order differential equation
... the method of lower and upper solutions to generate an itera- tive technique and discussed the existence of solutions of nonlinear third-order ordinary differential equations with integral ... See full document
10
High Accuracy Arithmetic Average Discretization for Non Linear Two Point Boundary Value Problems with a Source Function in Integral Form
... integro- differential equations and their applications to various physical ...the nonlinear differential equa- tions cannot be solved ...point nonlinear boundary value problems; however, their ... See full document
9
Existence of positive solutions of a third order nonlinear differential equation with positive and negative terms
... In 1993, Kiguradze and Chanturia [1] introduced the theory of asymptotic properties of solutions of nonautonomous ordinary differential equations as a method of continuum calculi. Since Kiguradze’s groundbreaking ... See full document
12
Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... for fractional partial differential equations, where the fractional derivative is defined in the sense of the modified Riemann-Liouville ...a fractional complex transformation, certain ... See full document
9
Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations
... linear part A(λ) at the origin has the eigenvalues α(λ) ± iβ(λ) with α(0) = 0 and β(0) ≠ 0. Furthermore, suppose that the eigenvalues cross the imaginary axis with nonzero speed, that is, α (0) ≠ 0. Then, in any ... See full document
20
Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... In recent years, there has been incessantly reformed attention in integro -differential equations .Many mathematical models of physical phenomena create integro-differential equations e.g fluid dynamics, ... See full document
12
On the smoothness of solutions of the third order nonlinear differential equation
... in order to solve the problem on the smoothness of the solutions of differen- tial equations, Otelbaev proposed the special method of the local representation of the resolvent, which is called variational ... See full document
11
Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
... tional differential equations. The fractional derivatives are described in the Caputo ...of fractional derivative using Legendre poly- nomials and implementing it to solve the nonlinear multi- ... See full document
6
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... Fractional order derivatives and fractional order differential equations have important roles in rheology, damping laws, diffusion process, etc ...Partial differential equations, ... See full document
6
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is ... See full document
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