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Fractional mathematical models: analytical and numerical methods

Group
Il gruppo si occupa di tematiche riguardanti lo studio e la risoluzione di modelli matematici con derivate frazionarie attraverso metodi numerici per le differenze finite. Attraverso l’applicazione della teoria delle simmetrie di Lie i modelli possono essere ridotti in nuovi modelli matematici di più facile risoluzione.
Address:
Viale Ferdinando Stagno d’Alcontres, 31, 98166 Messina
date/time interval:
(January 1, 2021 - )
  • Overview
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Overview

Acronym

FM_ANM

Term type

Gruppo di ricerca coordinata

Linked Units

Dipartimento di Scienze matematiche e informatiche, scienze fisiche e scienze della terra

Research Fields

Concepts (6)


85.42.00 - Istruzione universitaria e post-universitaria; accademie e conservatori

PE1_11 - Theoretical aspects of partial differential equations - (2024)

PE1_17 - Mathematical aspects of computer science - (2024)

Goal 4: Quality education

Settore MATH-04/A - Fisica matematica

Settore MATH-05/A - Analisi numerica

Keywords (4)

  • ascendant
  • decrescent
Convergenza e stabilità
Derivate frazionarie
Metodi numerici
Simmetrie di Lie
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Overview

1. Symmetry Lie theory applied to fractional differential models. 2. Transformations and reductions of partial differential equations with fractional derivatives of Riemann and Caputo 3. Search for analytical and numerical solutions. 4. Finite difference numerical methods. 5. Study of stability and convergence. 6. Implementation of codes in MATLAB 7. Comparison between analytical and numerical solutions
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Affiliation

Has member

SPECIALE Maria

List of all contributors

Marianna Ruggieri - Facoltà di Ingegneria ed Architettura, Università degli Studi di Enna “Kore”

Members (3)

DESIDERIO Luca
FAZIO Riccardo
JANNELLI Alessandra

Contact

Email address

mpspeciale@unime.it
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