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77.549  Articles
1 of 7.756 pages  |  10  records  |  more records»
On the classes of 2p2\pi-periodic functions Wa(Kß,F){\mathcal{W}}^{\alpha} (K_{\beta}, \Phi), where a,ß?(0;8)\alpha, \beta \in (0;\infty), defined by KK-functionals KßK_{\beta}, fractional derivatives of order a\alpha, and majorants F\Phi, the exact value... see more

In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time. The series solutions of the general fractional advection-dispersion equations are obtained with th... see more

In this work, we examine the dynamical behaviour of the “single mass-springs” model for earthquake subjected to the strength due to the up flow of magma for the period of volcanism, considering the fractional viscous damping force, the fractional weakenin... see more

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are... see more

Distributed order fractional differential equations (Caputo, 1995, 2001; Bagley and Torvik, 2000a,b) were fi rst used in the time domain; they are here considered in the space domain and introduced in the constitutive equation of diffusion. The solution o... see more

In this paper, we formulate an initial-value problem of generalized anomalous diffusion equation consisting second order in two dimensional space and fractional order in time derivatives and then solve it by applying a series involving bilinear Eigen func... see more

This study presents the numerical approximation method for the nonsingular fractional derivative known as the Caputo-Fabrizio fractional derivative on uniform and nonuniform mesh. It has been found that the accuracy of the utilized fractional derivative c... see more

In this contribution, we build up an axiomatic local metric derivative that exhibits Mittag-Leffler function as an eigenfunction and is valid for low-level fractionality, whenever the order parameter is close to 1. This version of deformed (or metric) der... see more

We propose an adapted Fourier transform method that gives the solution of an oscillation equation with a fractional damping term in ordinary domain. After we mention a transformation of cosmic time to individual time (CTIT), we explain how it can reduce t... see more

1 of 7.756 pages  |  10  records  |  more records»