Ulam stabilities of nonlinear iterative integro-differential equations
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, vol.117, no.3, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 117 Issue: 3
- Publication Date: 2023
- Doi Number: 10.1007/s13398-023-01450-6
- Journal Name: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
- Keywords: Uniqueness of solutions, Ulam stabilities, IIFDEs, Fixed point theorem
- Van Yüzüncü Yıl University Affiliated: Yes
Abstract
In this paper, we deal with nonlinear iterative integro-functional differential equations (IIFDEs) of first order. We study the uniqueness of solutions and Ulam stabilities regarding that the IIFDEs. The new results in relation to the uniqueness of solutions and Ulam stabilities of the IIFDEs are achieved according to the Banach’s fixed point theorem. The consequences of this paper have scientific novelties and provide new contributions to the subjects of the uniqueness of solutions and the Ulam stabilities of IIFDEs.