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Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
Abstract.We revisit the Mittag-Leffler functions of a real variable t, with one, two and three order-parameters {α,β,γ}, as far as their Laplace transform pairs and complete monotonicity propertiesExpand
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Tunneling in fractional quantum mechanics
We study tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schrodinger equation for these potentials, we calculate the correspondingExpand
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The fractional Schrödinger equation for delta potentials
The fractional Schrodinger equation is solved for the delta potential and the double delta potential for all energies. The solutions are given in terms of Fox's H-function.
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Construction of Monopoles and Instantons by Using Spinors and the Inversion Theorem
In this paper we use spinors and the inversion theorem, which enables one to recover the spinor from the bilinear covariants, in order to construct topological objects like the monopole and theExpand
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A spinor representation of Maxwell equations and Dirac equation
Using the Clifford bundle formalism and starting from the free Maxwell equations dF = {delta}F = 0 we show by writing F = b{psi}{gamma}{sup 1}{gamma}{sup 2}{psi}{sup *}, where {psi} is aExpand
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Theorem for Series in Three-Parameter Mittag-Leffler Function
The new result presented here is a theorem involving series in the threeparameter Mittag-Le†er function. As a by-product, we recover some known results and discuss corollaries. As an application, weExpand
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On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag–Leffler noise. The solution ofExpand
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Slowing-down of neutrons: a fractional model
The fractional version for the diffusion of neutrons in a material medium is studied. The concept of fractional derivative is presented, in the Caputo and Riesz senses. Using this concept, we discussExpand
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Fractional models of anomalous relaxation based on the Kilbas and Saigo function
We revisit the Kilbas and Saigo functions of the Mittag-Leffler type of a real variable $$t$$t, with two independent real order-parameters. These functions, subjected to the requirement to beExpand
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Equivalence of Dirac and Maxwell equations and quantum mechanics
In this paper we present an analysis of the possible equivalence of Dirac and Maxwell equations using the Clifford bundle formalism and compare it with Campolattaro's approach, which uses theExpand
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