[PDF] Top 20 Exact Solutions and Numerical Comparison of Methods for Solving Fractional-Order Differential Systems
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Exact Solutions and Numerical Comparison of Methods for Solving Fractional-Order Differential Systems
... and numerical solutions, respectively. Moreover, the exact solutions of this fractional-order model, which are solved using the Laplace transform, are employed to numerically and ... See full document
8
Exact solutions for linear systems of local fractional partial differential equations
... local fractional derivative, proved very effective to solve linear systems of local fractional partial differen- tial ...local fractional Sumudu decomposition method (LFSDM) is suitable for ... See full document
8
Comparison of Analytical and Numerical Solutions of Fractional-Order Bloch Equations using Reliable Methods
... nificantly less accurate compared with their corresponding exact solutions. However, the fluctuation of the absolute errors in the PECE method is appreciably lower than that of the RVIM when t is ... See full document
6
Study the Numerical Methods for Solving Syste...
... on numerical methods for solving ordinary differential ...for solving the ordinary differential equation using Euler and Runge Kutta 4 th order ...ordinary ... See full document
6
A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations
... solve systems of nonliner fractional partial differential ...approximate solutions obtained by this method are compared with the exact ...for solving systems of nonlinear ... See full document
10
Numerical Solution of Fractional Control System by Haar-wavelet Operational Matrix Method
... find numerical solutions of differential equations using wavelet’s ...the fractional order ...the fractional order differentiation are ...of fractional order ... See full document
10
Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... seeking exact solutions of partial differential equations in fractional case, and proposed a new fractional Riccati sub-equation method, where the sub-equation used is the ... See full document
9
On numerical techniques for solving the fractional logistic differential equation
... the fractional logistic differential equation using Hadamard derivative and ...an exact solution to this fractional model. Hence several numerical approaches, such as generalized Euler’s method ... See full document
13
Exact Solution of Fractional Black Scholes European Option Pricing Equations
... Mathematics Numerical methods and approaches are also popular and used to obtain ap- proximate solutions of ...a numerical method for solving FPDEs are the Homotopy Perturbation Method ... See full document
15
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... the exact solution. We see that the approximate solutions are in high agreement with the exact solution, when ν = ...the numerical solutions of present method are compared with the ... See full document
16
Exact solutions for fractional partial differential equations by a new fractional sub equation method
... integer order. In recent decades, fractional differential equations have been the focus of many studies due to their frequent appearance in various applications in physics, biology, engineering, signal ... See full document
12
Exact solutions of a linear fractional partial differential equation via characteristics method
... many methods have been studied for solving differential equations of fractional order, such as Lie group method, invariant subspace method and numerical methods, [1, 2, 3, ... See full document
7
On Numerical Solutions of Fractional-Order with a Delay of CSOH Model
... of fractional delayed differential equations is thus constructed for presenting the dy- namics and interacting pattern of the number of coconut yields, squirrels, bran owls, and squirrel hunters in the ... See full document
7
A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order
... ordinary differential zzy fractional differential equation (FFDE) is equation to arbitrary non-integer ...of solutions of Riemann- Liouville fuzzy fractional differential ... See full document
7
SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD
... nonlinear differential equations, in the differential equations systems, in the integral equations, in the difference equations, in the differential-difference equations, and in the algebraic ... See full document
8
An Improved Numerical Algorithm for the Fractional Differential Equations and Its Application in the Fractional Order Nonlinear Systems
... for solving the fractional differential equations requires more computational complexity, which leads to a slow running ...improved numerical algorithm for the fractional ... See full document
9
The Adomian Decomposition Method for a Type of Fractional Differential Equations
... puto fractional derivative, there are many other different fractional derivatives, such as the Riemann-Liouville fractional derivative, Grünwald-Letnikov frac- tional derivative, Rietz ... See full document
8
17.Unique solutions for systems of fractional order differential equations with infinite delay
... Recently, fractional differential equations have been of great interest. For de- tailed discussion on this topic, refer to the monographs of Miller and Ross [5], Podlubny [6], and the papers by Benchohra et ... See full document
6
An optimal equilibrium for a reformulated Samuelson economic discrete time system
... higher order equations investigating qualitative ...the fractional nabla operator, see Atici and Eloe (2011), Dassios and Baleanu (2013, 2015), Dassios et ...The fractional nabla operator is a very ... See full document
10
A new method for constructing exact solutions for a time-fractional differential equation
... for fractional derivatives, such as modified Riemann- Liouville derivative, Grunwald-Letnikov derivative, Caputos, Riesz, Miller and Ross fractional derivative ...the fractional calculus theory ... See full document
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