Iterative techniques with computer realization for initial value problems for Riemann-Liouville fractional differential equations

• Autorzy: Agarwal Ravi , Golev A. , Hristova S. , O’Regan D.

Identyfikatory

DOI

10.1515/jaa-2020-0001

• Języki publikacji: EN

Abstrakty

EN

The main aim of this paper is to suggest some algorithms and to use them in an appropriate computer environment to solve approximately the initial value problem for scalar nonlinear Riemann-Liouville fractional differential equations on a finite interval. The iterative schemes are based on appropriately defined lower and upper solutions to the given problem. A number of different cases depending on the type of lower and upper solutions are studied and various schemes for constructing successive approximations are provided. The suggested schemes are applied to some problems and their practical usefulness is illustrated.

Słowa kluczowe

EN

Riemann-Liouville fractional differential equations; initial value problem; lower and upper solutions; approximate solutions

PL

ułamkowe równanie różniczkowe Riemanna-Liouville'a; problem wartości początkowej; dolne i górne rozwiązanie; rozwiązania przybliżone

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 1
• Strony: 21--47
• Opis fizyczny: Bibliogr. 26 poz., wykr.

Twórcy

autor

Agarwal Ravi

• Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USA

autor

Golev A.

• University of Plovdiv Paisii Hilendarski, Plovdiv, Bulgaria

autor

Hristova S.

• University of Plovdiv Paisii Hilendarski, Plovdiv, Bulgaria

autor

O’Regan D.

• School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).