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Solving a system of nonlinear fractional partial differential equations using three dimensional differential transform method
(Academic Journals, 2010-06-30)
In this article, three dimensional fractional partial differential transform method (FPDTM) has been employed to obtain solutions of a System of nonlinear fractional partial differential equations. This indicates the ...
A Solution Method For Integro-Differential Equations Of Conformable Fractional Derivative
(Vinča Institute of Nuclear Sciences, Belgrade, 2017-11-18)
The aim of this work is to determine an approximate solution of a fractional order Volterra-Fredholm integro-differential equation using by the Sinc-collocation
method. Conformable derivative is considered for the fractional ...
Partial Fractional Equations and Their Applications
(Hindawi Publishing Corporation, 2015-03-11)
In the past years, many physical problems in almost all branches of sciences and engineering were with success modelled using the concept of fractional order derivative. This subject has therefore fascinated consideration ...
Rational approximations for solving cauchy problems
(BISKA Bilişim Teknoloji, 2016-08-16)
In this letter, numerical solutions of Cauchy problems are considered by multivariate Pad´e approximations (MPA). Multivariate Pad´e approximations (MPA) were applied to power series solutions of Cauchy problems that solved ...
Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials
(BISKA Bilişim Teknoloji, 2016-12-20)
In this paper, a collocation method based on Hermite polynomials is presented for the numerical solution of the neutral functional-differential equations (NFDEs) with proportional delays. By using Hermite polynomials and ...
A new collocation method based on Euler polynomials for solution of generalized pantograph equations
(BISKA Bilişim Teknoloji, 2016-12-23)
In this paper, a new collocation method based on Euler polynomials is improved for the numerical solution of generalized pantograph equations. This method transforms the generalized pantograph equations into the matrix ...
Approximates Method for Solving an Elasticity Problem of Settled of the Elastic Ground with Variable Coefficients
(Natural Sciences Publishing (NSP), 2013-07-01)
In this paper, we have given numerical solutions of the elasticity problem of settled on the elastic ground with variable coefficient. Firstly, we calculate the generalized successive approximation of the given boundary ...
Numerical methods for simulation of stochastic differential equations
(Advances in Difference Equations, 2018-01-15)
In this paper we are concerned with numerical methods to solve stochastic
differential equations (SDEs), namely the Euler-Maruyama (EM) and Milstein methods.
These methods are based on the truncated Ito-Taylor expansion. ...
Some properties of the Mittag-Leffler functions and their relation with the Wright functions
(SpringerOpen, 2012-10-17)
This paper is a short description of our recent results on an important class of the so-called Mittag-Leffler functions, which became important as solutions of fractional order differential and integral equations, control ...
The generalized successive approximation and Pade´ approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients
(BISKA Bilişim Teknoloji, 2017-01-05)
In this study, we have applied a generalized successive numerical technique to solve the elasticity problem of based on the elastic ground with variable coefficient. In the first stage, we have calculated the generalized ...
