Exact results on some nonlinear laguerre-type diffusion equations

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Exact results on some nonlinear laguerre-type diffusion equations
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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