Zobrazeno 1 - 10
of 229
pro vyhledávání: '"Oliveira, Edmundo"'
Definitions of fractional derivative of order $\alpha$ ($0 < \alpha \leq 1$) using non-singular kernels have been recently proposed. In this note we show that these definitions cannot be useful in modelling problems with a initial value condition (li
Externí odkaz:
http://arxiv.org/abs/1912.04422
This paper starts from the Fisher-Kolmogorov-Petrovskii-Piskunov equation to model diffusive populations. The main result, according to this model, is that two connected patches in a system do not always contribute to each other. Specifically, insert
Externí odkaz:
http://arxiv.org/abs/1909.10045
The introduction of a fractional differential operator defined in terms of the Riemann-Liouville derivative makes it possible to generalize the kinetic equations used to model relaxation in dielectrics. In this context such fractional equations are c
Externí odkaz:
http://arxiv.org/abs/1707.00146
We consider a partial differential equation associated with a mathematical model describing the concentration of nutrients in blood which interferes directly on the erythrocyte sedimentation rate in the case of an average fluid velocity equal to zero
Externí odkaz:
http://arxiv.org/abs/1701.07379
Publikováno v:
J Phys Math 6:147 (2015)
In this paper, using the theory of the so-called fractional calculus we show that it is possible to easily obtain the solutions for the confluent hypergeometric equation. Our approach is to be compared with the standard one (Frobenius) which is based
Externí odkaz:
http://arxiv.org/abs/1612.07573
In this work we show that it is possible to calculate the fractional integrals and derivatives of order $\alpha$ (using the Riemann-Liouville formulation) of power functions $\left( t-\ast\right) ^{\beta}$ with $\beta$ being any real value, so long a
Externí odkaz:
http://arxiv.org/abs/1612.07240
In this paper, we resort to the Laplace transform method in order to show its efficiency when approaching some types of fractional differential equations. In particular, we present some applications of such methods when applied to possible generaliza
Externí odkaz:
http://arxiv.org/abs/1508.03582
Publikováno v:
Phys. Rev. D 86, 128501 (2012)
In this paper we show that the statement in Ahluwalia, Lee, and Schritt (2011) that the existence of elko spinor fields implies in an axis of locality is equivocated. The anticommutator {{\Lambda}(x,t),{\Pi}(x,t} is strictly local.
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Externí odkaz:
http://arxiv.org/abs/1210.7207
In this paper we describe the theory of a device that is able to extract energy from an external magnetic field. The device is a cylindrical magnetic insulator that once put in rotation makes electromagnetic angular momentum to be stored in the elect
Externí odkaz:
http://arxiv.org/abs/1208.1702
Publikováno v:
The European Physical Journal, Special Topics, Vol. 193 (2011), pp. 161-171
We revisit the Mittag-Leffler functions of a real variable $t$, with one, two and three order-parameters $\{\alpha, \beta, \gamma\}$, as far as their Laplace transform pairs and complete monotonicty properties are concerned. These functions, subjecte
Externí odkaz:
http://arxiv.org/abs/1106.1761