Fractional telegrapher's equation with generalized memory kernels: characteristic crossover anomalous dynamics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73634583" target="_blank" >RIV/61989592:15310/25:73634583 - isvavai.cz</a>

Výsledek na webu

<a href="https://iopscience.iop.org/article/10.1088/1402-4896/addca1/pdf" target="_blank" >https://iopscience.iop.org/article/10.1088/1402-4896/addca1/pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1402-4896/addca1" target="_blank" >10.1088/1402-4896/addca1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fractional telegrapher's equation with generalized memory kernels: characteristic crossover anomalous dynamics

Popis výsledku v původním jazyce

We consider a generalization of the fractional telegrapher&apos;s equation by introducing memory kernels, which characterize the effects of the environment on the particle movement. By using the Fourier-Laplace transform method, we find the exact solution of the equation. We analyze the conditions under which the solution is nonnegative by using the theory of complete monotone and Bernstein functions. For a specific forms of the memory kernels we also show the nonnegativity of the solution by employing the subordination approach. The asymptotic behavior of the mean squared displacements of the fundamental solutions, in the short and long time limit, are analyzed by using Tauberian theorems. We show that the particle shows different characteristic crossover anomalous dynamics which might be useful to describe anomalous diffusive processes in complex media.

Název v anglickém jazyce

Fractional telegrapher's equation with generalized memory kernels: characteristic crossover anomalous dynamics

Popis výsledku anglicky

We consider a generalization of the fractional telegrapher&apos;s equation by introducing memory kernels, which characterize the effects of the environment on the particle movement. By using the Fourier-Laplace transform method, we find the exact solution of the equation. We analyze the conditions under which the solution is nonnegative by using the theory of complete monotone and Bernstein functions. For a specific forms of the memory kernels we also show the nonnegativity of the solution by employing the subordination approach. The asymptotic behavior of the mean squared displacements of the fundamental solutions, in the short and long time limit, are analyzed by using Tauberian theorems. We show that the particle shows different characteristic crossover anomalous dynamics which might be useful to describe anomalous diffusive processes in complex media.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

PHYSICA SCRIPTA

ISSN

0031-8949

e-ISSN

1402-4896

Svazek periodika

100

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

SE - Švédské království

Počet stran výsledku

21

Strana od-do

"075205-1"-"075205-21"

Kód UT WoS článku

001502928400001

EID výsledku v databázi Scopus

2-s2.0-105007893969