Ulam stabilities of nonlinear iterative integro-differential equations

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 ac...

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Bibliographic Details
Published inRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 117; no. 3
Main Authors Tunç, Osman, Tunç, Cemil
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.07.2023
Subjects
Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
45G10
Fixed point theorem
Ulam stabilities
IIFDEs
45J05
Uniqueness of solutions
45D05
45M10
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ISSN1578-7303
1579-1505
DOI10.1007/s13398-023-01450-6

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Summary: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.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-023-01450-6