نتایج جستجو برای: jumaries modified riemannliouville fractional derivative

تعداد نتایج: 367237  

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...

Journal: :International Journal of Mathematics 2007

2014
H. Yépez-Martínez J. M. Reyes

Abstract The fractional wave equation is presented as a generalization of the wave equation when arbitrary fractional order derivatives are involved. We have considered variable dielectric environments for the wave propagation phenomena. The Jumarie’s modified Riemann-Liouville derivative has been introduced and the solutions of the fractional Riccati differential equation have been applied to ...

Journal: :Electronic journal of mathematical analysis and applications 2013
H Jiang F Liu M M Meerschaert R J McGough

Fractional partial differential equations with more than one fractional derivative term in time, such as the Szabo wave equation, or the power law wave equation, describe important physical phenomena. However, studies of these multi-term time-space or time fractional wave equations are still under development. In this paper, multi-term modified power law wave equations in a finite domain are co...

Journal: :bulletin of the iranian mathematical society 2012
a. ahmadkhanlu m. jahanshahi

n this paper, at first the  concept of caputo fractionalderivative is generalized on time scales. then the fractional orderdifferential equations are introduced on time scales. finally,sufficient and necessary conditions are presented for the existenceand uniqueness of solution of initial valueproblem including fractional order differential equations.

Journal: :international journal of nonlinear analysis and applications 2015
m.a. abdellaoui z. dahmani n. bedjaoui

this paper studies the existence of solutions for acoupled system of nonlinear fractional differential equations. newexistence and uniqueness results are established using banach fixedpoint theorem. other existence results are obtained using schaeferand krasnoselskii fixed point theorems. some illustrative examplesare also presented.

Journal: :iranian journal of mathematical chemistry 2016
a. ansari m. ahmadi darani

in this article using the inverse laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. these transfers have been expressed as the couette flow with the fractional derivative of the caputo sense. also, using the hankel contour for the bromwich's integral, the solutions are given in terms of the generalized airy functions.

Journal: :computational methods for differential equations 0
parisa rahimkhani alzahra university yadollah ordokhani alzahra university esmail babolian kharazmiuniversity

in this manuscript a new method is introduced for solving fractional differential equations. the fractional derivative is described in the caputo sense. the main idea is to use fractional-order legendre wavelets and operational matrix of fractional-order integration. first the fractional-order legendre wavelets (flws) are presented. then a family of piecewise functions is proposed, based on whi...

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: :sahand communications in mathematical analysis 0
somayeh nemati department of mathematics, faculty of mathematical sciences, university of mazandaran, babolsar, iran.

in this paper, we consider the second-kind chebyshev polynomials (skcps) for the numerical solution of the fractional optimal control problems (focps). firstly, an introduction of the fractional calculus and properties of the shifted skcps are given and then operational matrix of fractional integration is introduced. next, these properties are used together with the legendre-gauss quadrature fo...

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