Zobrazeno 1 - 10
of 410
pro vyhledávání: '"33e12"'
We consider the following stochastic space-time fractional diffusion equation with vanishing initial condition:$$ \partial^{\beta} u(t, x)=- \left(-\Delta\right)^{\alpha / 2} u(t, x)+ I_{0+}^{\gamma}\left[\dot{W}(t, x)\right],\quad t\in[0,T],\: x \in
Externí odkaz:
http://arxiv.org/abs/2411.12192
Autor:
Popov, Dušan
We defined and used a pair of Hermitian annihilation and creation operators which generate the generalized coherent states, defined in the Barut-Girardello manner, whose normalization function is just the four-parameter generalized Mittag-Leffler fun
Externí odkaz:
http://arxiv.org/abs/2410.19462
Autor:
Wang, Min
We study a class of positive random variables having moments of Gamma type, whose density can be expressed by the three-parametric Mittag-Leffler functions. We give some necessary conditions and some sufficient conditions for their existence. As a co
Externí odkaz:
http://arxiv.org/abs/2410.19330
Autor:
Thinh, L. V., Tuan, H. T.
This paper is concerned with a generalized Halanay inequality and its applications to fractional-order delay linear systems. First, based on a sub-semigroup property of Mittag-Leffler functions, a generalized Halanay inequality is established. Then,
Externí odkaz:
http://arxiv.org/abs/2410.09370
Starting from the well-known relationship $|{{\mathrm{e}}}^z| = {{\mathrm{e}}}^{{\mathrm Re}(z)}$, we consider the question whether $|E_{\alpha,\beta}(z)|$ and $E_{\alpha,\beta}({\mathrm Re}(z))$ are comparable, as functions of the complex variable $
Externí odkaz:
http://arxiv.org/abs/2410.11852
When the memory parameter of the elephant random walk is above a critical threshold, the process becomes superdiffusive and, once suitably normalised, converges to a non-Gaussian random variable. In a recent paper by the three first authors, it was s
Externí odkaz:
http://arxiv.org/abs/2409.06836
Publikováno v:
Fractal and Fractional 8.8 (2024): 439
In the framework of the theory of linear viscoelasticity, we derive an analytical expression of the relaxation modulus in the Andrade model $G_{\alpha }\left( t\right) $ for the case of rational parameter \mbox{$\alpha =m/n\in (0,1)$} in terms of Mit
Externí odkaz:
http://arxiv.org/abs/2408.06369
Publikováno v:
Integral Transforms and Special Functions; on line 19 November 2024
The formal term-by-term differentiation with respect to parameters is demonstrated to be legitimate for the Mittag-Leffler type functions. The justification of differentiation formulas is made by using the concept of the uniform convergence. This app
Externí odkaz:
http://arxiv.org/abs/2408.05225
Autor:
Kataria, K. K., Dhillon, M.
In this paper, we study a multivariate version of the generalized counting process (GCP) and discuss its various time-changed variants. The time is changed using random processes such as the stable subordinator, inverse stable subordinator, and their
Externí odkaz:
http://arxiv.org/abs/2407.06156
This article develops how to generalize the invariant subspace method for deriving the analytical solutions of the multi-component (N+1)-dimensional coupled nonlinear time-fractional PDEs (NTFPDEs) in the sense of Caputo fractional-order derivative f
Externí odkaz:
http://arxiv.org/abs/2406.10657