Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm. Sufficient conditions are established to ensure Hyers-Ulam and Hyers-Ulam-Rassias stability for these equations. These types of equations a...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2024-06, Vol.22 (1), p.222-224
Hauptverfasser: Marian, Daniela, Ciplea, Sorina Anamaria, Lungu, Nicolaie
Format: Artikel
Sprache:eng
Schlagworte:
35B35
35B99
45G10
Bielecki norm
Hyers-Ulam stability
integro-differential equation of hyperbolic type
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Zusammenfassung:In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm. Sufficient conditions are established to ensure Hyers-Ulam and Hyers-Ulam-Rassias stability for these equations. These types of equations appear in various applications in engineering, biology, chemistry, economics (price fluctuation – Black-Scholes equation), etc.
ISSN:2391-5455
DOI:10.1515/math-2024-0017