Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three-Reference-Cited by-同舟云学术

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

Published:2024-01-01 Issue:1 Volume:22 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Marian Daniela¹,Ciplea Sorina Anamaria²,Lungu Nicolaie¹

Affiliation:

1. Department of Mathematics, Technical University of Cluj-Napoca , 28 Memorandumului Street, 400114 , Cluj-Napoca , Romania

2. Department of Management and Technology, Technical University of Cluj-Napoca , 28 Memorandumului Street, 400114 , Cluj-Napoca , Romania

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/math-2024-0017/pdf

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