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Jan 1, 2014 · The following function was introduced (Hartley and Lorenzo, 1 998) during solving of the fundamental linear . ... This equation (3.1) is known result given by Yadav and Puro hit [8] ...
Also, notice from Equation (14), that the E-function and the F -function can be related as follows, oe:'-' (16) This section has shown that the F -function is the impulse response of the fundamental linear fractional differential equation. Plots of the F -function and the E-function for various values of q are given in Figures 1and 2 ...
Generalized Lorenzo and Hartley Function . V. G. Guptaαand Bhavna SharamaΩ. Abstract: In this paper, we applied Sumudu transform to solve a fractional integrodifferential equation involving a Lorenzo- - Hartley function. A Cauchy-type problem involving the Caputo fractional derivatives and a generalized Volterra integral equation are also ...
Jul 1, 2018 · The non-negative spectral distribution function is obtained for the corresponding response function. It is also demonstrated that the classical models like Cole–Cole (C–C), Davidson–Cole (D–C), and Havriliak–Negami (H–N) for non-Debye relaxation and standard Debye relaxation are the particular cases of the Lorenzo–Hartley’s ...
The most notable piece of work in this area is a formula known as the Shannon–Hartley theorem. Simply stated, this theorem gives an upper bound to the capacity of a link, in terms of bits per second (bps), as a function of the signal-to-noise ratio of the link, measured in decibels (dB), and the bandwidth of the channel, measured in hertz (Hz).
Feb 1, 2008 · The aim of the present paper is to establish the solution of advanced generalized fractional order kinetic equation and a main theorem based upon the multivariable I-function, Mittag-Leffler ...
In this work, we study a Buckley–Leverett equation of two-phase flow in porous media from the point of view of the Lie theory. We find that for some functions the equation has abundant exact solutions expressible in terms of Jacobi elliptic functions and consequently has many solutions in the form of periodic waves or solitary waves. We determine low-order conservation laws by using the ...
