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Considerations regarding the accuracy of fractional numerical computations.

Authors :
Postavaru, Octavian
Dragoi, Flavius
Toma, Antonela
Source :
Fractional Calculus & Applied Analysis. Oct2022, Vol. 25 Issue 5, p1785-1800. 16p.
Publication Year :
2022

Abstract

Keywords: Fractional differential equations (primary); Caputo's derivative; Sharp bound; Polynomial coefficients; 35R11 (primary); 26A33; 26D20; 41A10 EN Fractional differential equations (primary) Caputo's derivative Sharp bound Polynomial coefficients 35R11 (primary) 26A33 26D20 41A10 1785 1800 16 10/11/22 20221001 NES 221001 Preliminaries The fractional differential equations (FDEs) are generalizations of the conventional differential equations to an arbitrary order. Fractional differential equations (primary), Sharp bound, 35R11 (primary), 26D20, 41A10, 41A10, Caputo's derivative, Polynomial coefficients, 26A33 Anal.2019223807824398788710.1515/fca-2019-00441426.39024 14 PodlubnyIFractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications1998New YorkAcademic Press0924.34008 15 Postavaru, O., Dragoi, F., Toma, A.: Enhancing the sccuracy of solving Riccati fractional differential equations. [Extracted from the article]

Details

Language :
English
ISSN :
13110454
Volume :
25
Issue :
5
Database :
Academic Search Index
Journal :
Fractional Calculus & Applied Analysis
Publication Type :
Academic Journal
Accession number :
159553508
Full Text :
https://doi.org/10.1007/s13540-022-00069-5