نتایج جستجو برای: riemann liouville fractional derivative

تعداد نتایج: 135799  

M. ABBASZADE M. MOHEBBI,

The aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (PDE) in the electroanalytical chemistry. The space fractional derivative is described in the Riemann-Liouville sense. In the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the Grunwald- Letnikov discretization of the Ri...

Journal: :caspian journal of mathematical sciences 2015
a. golbabai o. nikan

in this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. we approximate the exact solution by use of radial basis function(rbf) collocation method. this techniqueplays an important role to reduce a fractional dierential equation to a system of equations. the numerical results demonstrate the accuracy and ability of this me...

Journal: :iranian journal of mathematical chemistry 2012
m. abbaszade m. mohebbi

the aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (pde) in the electroanalytical chemistry. the space fractional derivative is described in the riemann-liouville sense. in the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the grunwald- letnikov discretization of the ri...

Journal: :iranian journal of science and technology (sciences) 2013
m. merdan

in this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modifiedriemann-liouville derivative was obtained with the help of fractional variational iteration method (fvim). a newapplication of fractional variational iteration method (fvim) was extended to derive analytical solutions in theform of a series for this equation. it is indicated that the so...

Journal: :computational methods for differential equations 0
mohammadreza ahmadi darani department of applied mathematics, faculty of mathematical sciences, shahrekord university, p.o. box 115, shahrekord, iran. mohammad hossein derakhshan department of applied mathematics, faculty of mathematical sciences, shahrekord university, p.o.box 115, shahrekord, iran alireza ansari department of applied mathematics, faculty of mathematical sciences, shahrekord university, p.o.box 115, shahrekord, iran reza khoshsiar department of applied mathematics, faculty of mathematical sciences, shahrekord university, p.o.box 115, shahrekord, iran

in this article, we survey the asymptotic stability analysis of fractional differential systems with the prabhakar fractional derivatives. we present the stability regions for these types of fractional di fferential systems. a brief comparison with the stability aspects of fractional differential systems in the sense of riemann-liouville fractional derivatives is also given.

M. alipour, P. allahgholi

In this paper, we apply spectral method based on the Bernstein polynomials for solving a class of optimal control problems with Jumarie’s modified Riemann-Liouville fractional derivative. In the first step, we introduce the dual basis and operational matrix of product based on the Bernstein basis. Then, we get the Bernstein operational matrix for the Jumarie’s modified Riemann-Liouville fractio...

Journal: :computational methods for differential equations 0
abdol ali neamaty department of mathematics, university of mazandaran, babolsar, iran bahram agheli department of mathematics, university of mazandaran, babolsar, iran mohammad adabitabar department of mathematics, qaemshahr branch, islamic azad university, qaemshahr, iran

approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. in this paper with central difference approximation and newton cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. three...

Journal: :Applied Mathematics and Computation 2007
Changpin Li Weihua Deng

In this paper, we further discuss the properties of three kinds of fractional derivatives: the Grünwald–Letnikov derivative, the Riemann–Liouville derivative and the Caputo derivative. Especially, we compare the Riemann–Liouville derivative with the Caputo derivative. And sequential property of the Caputo derivative is also derived, which is helpful in translating the higher fractional-order di...

In this article, we develop the distributed order fractional hybrid differential equations (DOFHDEs) with linear perturbations involving the fractional Riemann-Liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. Furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $varphi$-Lipschit...

Journal: :computational methods for differential equations 0
rahmat darzi department of mathematics, neka branch, islamic azad university, neka, iran bahram agheli department of mathematics, qaemshahr branch, islamic azad university, qaemshahr, iran

in this article, we verify existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem of fractional differential equation in the form d_{0^{+}}^{alpha}x(t)+f(t,x(t))=0, 0x(0)= x&apos;(0)=0, x&apos;(1)=beta x(xi), where $d_{0^{+}}^{alpha}$ denotes the standard riemann-liouville fractional derivative, 0an illustrative example is also presented.

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