نتایج جستجو برای: operational matrix of fractional integration
تعداد نتایج: 21219387 فیلتر نتایج به سال:
a finite difference technique for solving variable-order fractional integro-differential equations
in this article, we use a finite difference technique to solve variable-order fractional integro-differential equations (vofides, for short). in these equations, the variable-order fractional integration(vofi) and variable-order fractional derivative (vofd) are described in the riemann-liouville's and caputo's sense,respectively. numerical experiments, consisting of two exam...
A matrix form representation of discrete analogues of various forms of fractional differentiation and fractional integration is suggested. The approach, which is described in this paper, unifies the numerical differentiation of integer order and the n-fold integration, using the so-called triangular strip matrices. Applied to numerical solution of differential equations, it also unifies the sol...
Abstract An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives was obtained Yang and Srivastava (Commun Nonlinear Sci Numer Simul 29(1–3):499–504, 2015). In this paper, we obtain the numerical forced problems employing operational matrix integration Bernoulli orthonormal polynomials. The is determined wi...
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
In the current study, a general formulation of the discrete Chebyshev polynomials is given. The operational matrix fractional integration for these also derived. Then, a numerical scheme based on and their has been developed to solve variational problems. this method, need using Lagrange multiplier during solution procedure eliminated. The performance proposed validated through some illu...
Abstract In this paper, we solve the fractional order stiff system using shifted Genocchi polynomials operational matrix. Different than well known polynomials, shift interval from [0, 1] to [1, 2] and name it as polynomials. Using nice properties of which inherit classical matrix derivative will be derived. Collocation scheme are used together with some system. From numerical examples, is obvi...
a computational method for numerical solution of a nonlinear volterra and fredholm integro-differentialequations of fractional order based on chebyshev cardinal functions is introduced. the chebyshev cardinaloperational matrix of fractional derivative is derived and used to transform the main equation to a system ofalgebraic equations. some examples are included to demonstrate the validity and ...
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