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

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.

Keywords

• integro-differential equation of hyperbolic type
• hyers-ulam stability
• bielecki norm
• 35b35
• 35b99
• 45g10