Exact results on some nonlinear laguerre-type diffusion equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F21%3AA2202DSJ" target="_blank" >RIV/61988987:17310/21:A2202DSJ - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.vgtu.lt/index.php/MMA/article/view/11270" target="_blank" >https://journals.vgtu.lt/index.php/MMA/article/view/11270</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3846/mma.2021.11270" target="_blank" >10.3846/mma.2021.11270</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Exact results on some nonlinear laguerre-type diffusion equations

Popis výsledku v původním jazyce

In this paper we obtain some new explicit results for nonlinear equations involving Laguerre derivatives in space and/or in time. In particular, by using the invariant subspace method, we have many interesting cases admitting exact solutions in terms of Laguerre functions. Nonlinear diffusive-type and telegraph-type equations are considered and also the space and time-fractional counterpart are analyzed, involving Caputo or Prabhakar-type derivatives. The main aim of this paper is to point out that it is possible to construct many new interesting examples of nonlinear diffusive equations with variable coefficients admitting exact solutions in terms of Laguerre and Mittag-Leffler functions.

Název v anglickém jazyce

Exact results on some nonlinear laguerre-type diffusion equations

Popis výsledku anglicky

In this paper we obtain some new explicit results for nonlinear equations involving Laguerre derivatives in space and/or in time. In particular, by using the invariant subspace method, we have many interesting cases admitting exact solutions in terms of Laguerre functions. Nonlinear diffusive-type and telegraph-type equations are considered and also the space and time-fractional counterpart are analyzed, involving Caputo or Prabhakar-type derivatives. The main aim of this paper is to point out that it is possible to construct many new interesting examples of nonlinear diffusive equations with variable coefficients admitting exact solutions in terms of Laguerre and Mittag-Leffler functions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

MATHEMATICAL MODELLING AND ANALYSIS

ISSN

1392-6292

e-ISSN

—

Svazek periodika

26

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

LT - Litevská republika

Počet stran výsledku

10

Strana od-do

72-81

Kód UT WoS článku

000609244300005

EID výsledku v databázi Scopus

2-s2.0-85099646413