[PDF] Top 20 A numerical method to solve higher-order fractional differential equations
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A numerical method to solve higher-order fractional differential equations
... new numerical method to solve fractional differential ...a fractional derivative of arbitrary real order, we present an approximation formula for the ... See full document
11
An optimization method for the best fractional order to estimate real data analysis
... consider fractional differential equations, with dependence on a Caputo fractional derivative of real ...of fractional differential equations that model the ...A ... See full document
9
Numerical and analytical study for integro-differential equations using shifted Legendre method
... functional equations, like ordinary or partial differential equations, integral and integro-differential equations, stochastic ...integro-differential equations, these ... See full document
10
Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual Method
... field, numerical approaches were practiced to obtain an approximation solution for the problem ...(1). To solve a linear integro-differential equation numerically, discretization of ... See full document
4
Numerical study of nonlinear singular fractional differential equations arising in biology by operational matrix of shifted Legendre polynomials
... computational method for solving nonlinear singular boundary value problems of fractional order arising in ...biology. To this end, we apply the operational matrices of derivatives of shifted ... See full document
7
Fibonacci collocation method with a residual error Function to solve linear Volterra integro differential equations
... collocation method with a residual error function to solve high order linear Volterra integro-differential ...this method is more effective than some other ... See full document
14
An efficient wavelet based approximation method for a few second order differential equations arising in science and engineering
... approximation method for solving the second order differential equations arising science and engineering is presented in this ...Such differential equation is often applied to ... See full document
9
Exact Solutions for Three Fractional Partial Differential Equations by the (G'/G) Method
... of differential equations, integral equations and matrix equations include various aspects, such as the existence and uniqueness of solutions [1,2], seeking for exact solutions [3,4], ... See full document
6
Reduced Differential Transform Method for Solving Klein Gordon Equations
... proposed method. In section 3, we apply the reduced differential transform method to solve three test examples in order to show its ability and ... See full document
5
Caputo derivatives of fractional variable order: numerical approximations
... new numerical tool to solve partial differential equations involving Caputo derivatives of fractional variable ...Caputo-type fractional operators are considered, and for ... See full document
22
A numerical study of fractional relaxation–oscillation equations involving ψ-Caputo fractional derivative
... the numerical study of fractional relaxation-oscillation equations has at- tracted much ...the numerical solution of (3) (with f (t) = 0) by considering positive fractional derivative ... See full document
20
Fractional differential equations and Volterra–Stieltjes integral equations of the second kind
... a method to find approximate solutions to fractional differential equations involving fractional derivatives with respect to another ...The method is based ... See full document
21
Comparative numerical solutions of stiff Ordinary differential equations using magnus series expansion method
... based numerical integration methods were discussed ...Magnus method for the solution of a system of linear differential ...the numerical solution of ODEs ...of numerical algortihm ... See full document
11
On the solution of some fractional differential equations
... in fractional differential equations. These equations arise in mathematical physics and engineering ...made to solve some fractional differential Equation using the ... See full document
7
Application of Fractional Order Legendre Polynomials: a New Procedure for Solution of Linear and Nonlinear Fractional Differential Equations under $m$-point Nonlocal Boundary Conditions
... Quasilinearization method was introduced by Bellman and Kalaba [19] to solve nonlinear ordinary or partial differential equations as a generalization of the Newton-Raphson ...this ... See full document
23
Numerical Methods for Differential Equations
... the method (14) requires two initial ...Adams-Bashforth method by one step of, e.g., a second-order Runge-Kutta method (see ...of order O(h 2 )) can also be used to start up (and ... See full document
98
A Higher order and stable method for the numerical integration of Random Differential Equations
... similar to the deterministic scenario, there exists a variety of important issues in designing practical numerical integrators for ...the numerical schemes, are very desirable ...some ... See full document
8
Numerical Investigations on Hybrid Fuzzy Fractional Differential Equations by Improved Fractional Euler Method
... improved fractional Euler method to solve hybrid fuzzy fractional differential equa- tions of order q ∈ (0, ...The fractional derivative is considered under ... See full document
14
An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method
... decomposition method (ADM) is generalized to find positive solutions for boundary value problems involving nonlinear fractional ordinary differential ...used to convert the nonlinear ... See full document
13
An expansion formula with higher-order derivatives for fractional operators of variable order
... approaches to this ...than fractional differential equations of variable ...Similar to Section 4.2, the main idea here is to replace the fractional operators of variable ... See full document
12
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