Exact results on some nonlinear Laguerre-type diffusion equations
Autor: | Zivorad Tomovski, Roberto Garra |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
invariant subspace methods
010102 general mathematics Mathematical analysis Mathematics::Classical Analysis and ODEs Type (model theory) exact solutions Laguerre derivatives 01 natural sciences nonlinear partial differential equations Nonlinear system Exact results Modeling and Simulation 0103 physical sciences Laguerre polynomials QA1-939 0101 mathematics Diffusion (business) 010301 acoustics Analysis Mathematics |
Zdroj: | Mathematical Modelling and Analysis; Vol 26 No 1 (2021); 72-81 Mathematical Modelling and Analysis, Vol 26, Iss 1, Pp 72-81 (2021) |
ISSN: | 1392-6292 1648-3510 |
Popis: | 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. |
Databáze: | OpenAIRE |
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