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An operational approach for solving fractional pantograph differential equation
... 10, equation (30) is collocated at roots of P 11 (α,β) (x). Then, by solving the resultant algebraic system, the unknown vector C can be determined for some values of α and β ... See full document
15
A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley Torvik equation
... innovative operational matrix of fractional-order derivatives (sensu Caputo) of Fermat polynomials is ...for solving the fractional Bagley-Torvik equation with the aid of tau spectral ... See full document
8
Analysis of Fractional Systems using Haar Wavelet
... of differential and integral equations require development of accurate and fast algorithms based on ...partial differential equations (PDE) modeling fractional systems is ...presented. ... See full document
56
Wavelets operational methods for fractional differential equations and systems of fractional differential equations
... Legendre operational matrix for fractional derivatives and applied it with spectral methods for numerical solution of multi-term linear and nonlinear ...any fractional order derivatives of shifted ... See full document
58
Sine cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations
... , equation () is a classical Riccati equation, which have been studied by using ADM, VIM, HPM, MHPM and ...differential equation in a very wider ... See full document
12
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... of fractional-order differential ...the operational matrix of fractional derivative and integration for such functions to construct a new Tau technique for solving fractional ... See full document
12
A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
... new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modi- fied Riemann-Liouville ...space-time ... See full document
13
A new fractional Jacobi elliptic equation method for solving fractional partial differential equations
... decades, fractional differential equations have been paid an increasing attention as they are widely used to describe various complex phenomena in many fields such as the fluid flow, signal processing, control theory, ... See full document
12
On numerical techniques for solving the fractional logistic differential equation
... of fractional over classi- cal calculus [4, ...the fractional calculus has provided better results compared to those obtained via the classical ...the fractional calculus becomes evident based on ... See full document
28
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
... paper, operational matrices of Bernstein polynomials (BPs) are presented for solving the non-linear fractional Logistic differential equation ...The fractional derivative is ... See full document
15
A New Numerical Approach for Solving Fractional Bagley Torvik Equation
... years, fractional calculus has become most popular in different areas of science and engineering such as viscoelasticity, heat conduction, electrode–electrolyte polarization, electromagnetic waves, diffusion wave, ... See full document
16
Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... the approach of Fourier transforms of fractional order, along the ordinary Fourier transform of first ...of fractional order Fourier transforms. A generalized operational calculus is analysed ... See full document
26
A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line
... of fractional order differential ...spectral approach for a fractional radiative transfer equation, in which the multidimensional problem has been transformed into a system of fractional ... See full document
18
Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... for fractional partial differential ...sub- equation methods, and the fractional complex transforma- tion used here for ξ plays the most important role in the solving ...space-time ... See full document
284
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
... fuzzy fractional derivative, in this paper, is assumed in the Caputo ...and fractional), we need to specify additional conditions in order to produce a unique ...Caputo fractional differential ... See full document
25
Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations
... the operational matrix via Genoc- chi polynomials for solving integer-order delay differential equations [12] and fractional optimal control problems [13], and the numerical solutions obtained ... See full document
17
A new class of operational matrices method for solving fractional neutral pantograph differential equations
... use fractional differential equations to simulate complex phenomenon in order to make it closer to the real ...of fractional calculus, as linear transformations, have been widely con- ...Some ... See full document
57
Numerical Approach for Solving Fractional Pantograph Equation
... approximation and numerical techniques must be used. For example Adomian decomposition method, the homotopy- perturbation method, the variational iteration method and the homotopy analysis method [13-19]. In this paper ... See full document
11
Solving Fuzzy Fractional Differential Equation with Fuzzy Laplace Transform Involving Coshx
... fuzzy fractional differential equation (FFDEs) under Riemann Liouville H-differentiability using fuzzy Laplace ...solve fractional differential equation involving hyperbolic ... See full document
15
Solving Fuzzy Fractional Differential Equation with Fuzzy Laplace Transform Involving Sine function
... [5] Lakshmikantham V, Vatsala AS. Basic theory of fractional differential equations. Nonlinear Anal 2008;69:2677–82. [6] Babenko YI. Heat and Mass Transfer, Chemia, Leningrad; 1986. [7] Bede B, Gal SG. ... See full document
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