نتایج جستجو برای: Fractional differential equations‎

تعداد نتایج: 514174  

Journal: :international journal of nonlinear analysis and applications 0
javad damirchi department of mathematics, faculty of mathematics, statistics and computer science, semnan university,semnan, iran

in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

Journal: :iranian journal of science and technology (sciences) 2015
r. w. ibrahim

the complex-step derivative approximation is applied to compute numerical derivatives. in this study, we propose a new formula of fractional complex-step method utilizing jumarie definition. based on this method, we illustrated an approximate analytic solution for the fractional cauchy-euler equations. application in image denoising is imposed by introducing a new fractional mask depending on s...

This paper address a new vision for the generalized Mittag-Leffler stability of the fractional differential equations. We mainly focus on a new method, consisting of decomposing a given fractional differential equation into a cascade of many sub-fractional differential equations. And we propose a procedure for analyzing the generalized Mittag-Leffler stability for the given fractional different...

Journal: :iranian journal of science and technology (sciences) 2013
g. h. erjaee

in this article we implement an operational matrix of fractional integration for legendre polynomials. we proposed an algorithm to obtain an approximation solution for fractional differential equations, described in riemann-liouville sense, based on shifted legendre polynomials. this method was applied to solve linear multi-order fractional differential equation with initial conditions, and the...

Journal: :journal of mathematical modeling 2014
hossein noroozi alireza ansari

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
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: :international journal of nonlinear analysis and applications 0
khosro sayevand faculty of mathematical sciences, malayer university, p.o.box 16846-13114, malayer, iran

the aim of this work is to describe the qualitative behavior of the solution set of a givensystem of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. in order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. this is done by the extension of ...

Journal: :computational methods for differential equations 0
hammad khalil university of malakand rahmat khan university of malakand m. m. rashidi shanghai key lab of vehicle aerodynamics and vehicle thermal management systems, tongji university.

the paper is devoted to the study of brenstien polynomials and development of some new operational matrices of fractional order integrations and derivatives. the operational matrices are used to convert fractional order differential equations to systems of algebraic equations. a simple scheme yielding accurate approximate solutions of the couple systems for fractional differential equations is ...

The study of the stability of differential equations without its explicit solution is of particular importance. There are different definitions concerning the stability of the differential equations system, here we will use the definition of the concept of Lyapunov. In this paper, first we investigate stability analysis of distributed order fractional differential equations by using the asympto...

Journal: :journal of sciences, islamic republic of iran 2016
e. hesameddini a. rahimi

fractional calculus has been used to model the physical and engineering processes that have found to be best described by fractional differential equations. for that reason, we need a reliable and efficient technique for the solution of fractional differential equations. the aim of this paper is to present an analytical approximation solution for linear and nonlinear multi-order fractional diff...

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