[PDF] Top 20 Solution to fractional-order Riccati differential equations using Euler wavelet method
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Solution to fractional-order Riccati differential equations using Euler wavelet method
... Transform Method (HPTM) [20,21], and various wavelet methods ...etc., Riccati dierential equations are ...solve Riccati dierential ...for fractional Riccati dierential ... See full document
9
Solving nonlinear Volterra integro differential equations of fractional order by using Euler wavelet method
... the Euler wavelet operational matrix method to solve the nonlinear Volterra integro-differential equations of fractional ...The Euler wavelet is first presented and it is ... See full document
16
Numerical solution of fractional order logistic equations by fractional Eulers method
... article, fractional descriptions of logistic equations are solved by using fractional Euler's ...The fractional derivative in this problem is in the Caputo ...the ... See full document
8
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G) Expansion Method
... partial differential equations have shown a variety of applications in almost every field, such as in electromagnetic, acoustics, electrochemistry, cosmology, biological and material science ...[1-4]. ... See full document
6
On One Step Method of Euler Maruyama Type for Solution of Stochastic Differential Equations Using Varying Stepsizes
... one-step method of Euler-Maruyama (EMM) type has been developed for the solu- tion of general first order stochastic differential equations (SDEs) using Itô integral equation as ... See full document
15
A Meshless Method for Numerical Solution of Fractional Differential Equations
... of fractional calculus (that is, theory of integrals and derivatives of any arbitrary real or complex order) were planted over 300 years ...field. Fractional calculus has gained considerable ... See full document
8
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... fractional derivative of order α of y. Up to now, whenever this equation was under study, in most cases the fractional derivative was in the sense of Caputo definition. In this paper, we imply the ... See full document
13
A Study on Functional Fractional Integro-Differential Equations of Hammerstein type
... integro-differential equations of fractional order is ...the solution is proved. A numerical method to approximate the solution of problem is also presented which is based ... See full document
21
Numerical Solution of Fractional Control System by Haar-wavelet Operational Matrix Method
... matrix method has became a very useful technique for solving fractional differential equations [28, 23, 6] and optimal control system ... See full document
10
Fractional order Euler functions for solving fractional integro differential equations with weakly singular kernel
... some fractional-order functions (polynomial or wavelet) have been proposed to solve fractional differential ...the fractional-order generalized Laguerre functions to find numerical ... See full document
13
A New Numerical Method to Solve Non Linear Fractional Differential Equations
... studyof fractional calculus confined as a pure theoretical area of ...arbitrary order derivative and integrals are very useful for explanation of properties of various materials in mathematical modelling ... See full document
6
Spectral solution of fractional fourth order partial integro-differential equations
... This paper is organized as follows. In sections 2, some basic concepts are reviewed. In section 3, the method is implemented shown. In section 4, some numerical results are reported to show how this technique ... See full document
13
On the Solution of Fractional Order Nonlinear Boundary Value Problems By Using Differential Transformation Method
... high order of the Taylor series needs a long time in computation and it requires the computation of the necessary derivatives ...high order differential equations and it is an alternative way ... See full document
12
Fractional order Riccati differential equation: Analytical approximation and numerical results
... nonlinear fractional-order Riccati differential equations will be ap- proached analytically by combining the Laplace transform, the Adomian decomposition method (ADM), and the Padé ... See full document
16
Wavelet based Galerkin Method for the Numerical Solution of One Dimensional Partial Differential Equations
... localization. Wavelet bases perform to combine the advantages of both spectral and finite element ...on wavelet bases to be able to attain good spatial and spectral ...finite order. These scaling and ... See full document
11
A modified series solution method for fractional integro differential equations
... the fractional calculus in engineering and applied sciences is to find an analytic or approximate solution of fractional ordered initial or boundary value ...the solution of fractional ... See full document
8
A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order
... Fuzzy Fractional Initial Value Problem under Caputo- type fuzzy fractional derivatives by a modified fractional Euler ...merical method for solving FFDE is an area not yet widely ... See full document
7
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... exact solution, when ν = 1. Therefore, we state the solution for ν = ...present method are compared with the modified homotopy perturbation method [22] by using fourth-order ... See full document
16
A Fuzzy Power Series Method for Solving Fuzzy Differential Equations With Fractional Order
... u differential equations have excited in recent zzy fractional calculus and fuzzy fractional years as a considerable interest both in math- ematics and ...fuzzy fractional ... See full document
8
Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... of fractional calculus (that is calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due ... See full document
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