On the Ulam-type stability of impulsive differential equations with multiple time delays
Sign Up to like & getrecommendations! Published in 2025 at "Arab Journal of Basic and Applied Sciences"
DOI: 10.1080/25765299.2025.2588901
Abstract: Abstract In this article, we conduct a rigorous analysis of the Ulam-type stability of first-order impulsive delay differential equations (IP-D-D-Es) with multiple time-dependent delays. Employing a Gronwall-type integral inequality tailored for piecewise continuous functions, we… read more here.
Keywords: differential equations; time; stability; ulam type ... See more keywords
Ulam-type stability for Caputo-type fractional delay differential equations
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DOI: 10.1515/dema-2025-0112
Abstract: Abstract This study focuses on differential equations incorporating generalized fractional derivatives of the Caputo type. The concept of Ulam-type stability (US) is analyzed in the context of both initial value problems and boundary value problems… read more here.
Keywords: caputo type; differential equations; ulam type; type ... See more keywords
Ulam type stability for non-instantaneous impulsive Caputo fractional differential equations with finite state dependent delay
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DOI: 10.1515/gmj-2020-2061
Abstract: Abstract Four Ulam type stability concepts for non-instantaneous impulsive fractional differential equations with state dependent delay are introduced. Two different approaches to the interpretation of solutions are investigated. We study the case of an unchangeable… read more here.
Keywords: instantaneous impulsive; type stability; ulam type; fractional differential ... See more keywords
Ulam type stabilities for oscillatory Volterra integral equations
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DOI: 10.2298/fil2503989s
Abstract: This paper investigates Hyers-Ulam stability and Hyers-Ulam-Rassias stability of classes of integral equations with kernels depending on sine and cosine functions. An example is given to show the applicability of our obtained results. read more here.
Keywords: integral equations; ulam type; type stabilities; volterra integral ... See more keywords
Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type
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DOI: 10.3390/axioms11120742
Abstract: A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated. Sufficient conditions for the… read more here.
Keywords: problem; ulam type; stability; boundary value ... See more keywords