Hyers–Ulam stability of impulsive Volterra delay integro-differential equations

This paper discusses different types of Ulam stability of first-order nonlinear Volterra delay integro-differential equations with impulses. Such types of equations allow the presence of two kinds of memory effects represented by the delay and the kernel of the used fractional integral operator. Our...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2021; no. 1; pp. 1 - 13
Main Authors:	Refaai, D. A., El-Sheikh, M. M. A., Ismail, Gamal A. F., Abdalla, Bahaaeldin, Abdeljawad, Thabet
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 30.10.2021 Springer Nature B.V SpringerOpen
Subjects:	Analysis Delay Delay integro-differential equation Difference and Functional Equations Differential equations Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations Fractional calculus Functional Analysis Impulses Inequality Integral equations Mathematical analysis Mathematics Mathematics and Statistics Operators (mathematics) Ordinary Differential Equations Partial Differential Equations Stability Ulam–Hyers stability Delay integro-differential equation Impulses Ulam–Hyers stability
ISSN:	1687-1847, 1687-1839, 1687-1847
Online Access:	Get full text
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