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Large-time behavior for a fully nonlocal heat equation
(Springer, 2021-09)
We study the large-time behavior in all Lp norms and in different space-time scales of solutions to a nonlocal heat equation in ℝN involving a Caputo α-time derivative and a power of the Laplacian (−Δ)s, s ∈ (0,1), extending ...
Refractive index of binary and ternary mixtures containing propyl propanoate, heptane and octane at various temperatures
(Taylor & Francis Ltd, 2020-01-10)
Refractive index of binary and ternary liquid mixtures of propyl propanoate, heptane and octane at (283.15, 288.15, 293.15, 298.15, 303.15, 308.15, 313.15, 318.15 and 323.15) K have been measured at atmospheric pressure ...
Continuous time random walks and the Cauchy problem for the heat equation
(Springer, 2018-10)
We deal with anomalous diffusions induced by continuous time random walks - CTRW in ℝn. A particle moves in ℝn in such a way that the probability density function u(·, t) of finding it in region Ω of ℝn is given by ∫Ωu(x, ...
Nonlinear Schroedinger equation in the presence of uniform acceleration
(American Institute of Physics, 2013-04)
We consider a recently proposed nonlinear Schroedinger equation exhibiting solitonlike solutions of the power-law form ei(kx−wt) q , involving the q-exponential function which naturally emerges within nonextensive ...
Curl forces and the nonlinear Fokker-Planck equation
(American Physical Society, 2016-12)
Nonlinear Fokker-Planck equations endowed with curl drift forces are investigated. The conditions under which these evolution equations admit stationary solutions, which are q exponentials of an appropriate potential ...
From the hypergeometric differential equation to a non-linear Schrödinger one
(Elsevier Science, 2015-10)
We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear ...
Non linear second order partial differential equations as generalized inverse moment problems
(Taylor & Francis, 2018-03)
General forms for non linear elliptic, hyperbolic and parabolic partial differential equations are considered. For all these we present a general procedure that transforms they into a Fredholm integral equation of the first ...
Existence and decay rates for a semilinear dissipative fractional second order evolution equation
(Universidade Federal de Santa Maria, 2020)
Comment on the choice of time in a two-component formulation of the wheeler-dewitt equation
(World Scientific, 2007-12)
The two-component formalism in quantum cosmology is revisited with a particular emphasis on the identification of time. Its relation with the appearance of imaginary eigenvalues is established. It is explicitly shown how ...
Equational definability of (complementary) central elements
(World Scientific, 2016-05)
For a variety with weak existentially definable factor congruences, we characterize whenthe properties "e is a central element" and "e and f are complementary central elements"are definable by (∀ V p = q)-formulas and by ...