Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses

A Zada, SO Shah - Hacettepe Journal of Mathematics and Statistics, 2018 - dergipark.org.tr
This paper proves the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of first-order
non-linear delay differential equations with fractional integrable impulses. Our approach …

Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales

SO Shah, A Zada, AE Hamza - Qualitative theory of dynamical systems, 2019 - Springer
In this paper, we study Hyers–Ulam stability and Hyers–Ulam–Rassias stability of first order
non-linear impulsive time varying delay dynamic system on time scales, via a fixed point …

Bielecki–Ulam's Types Stability Analysis of Hammerstein and Mixed Integro–Dynamic Systems of Non–Linear Form with Instantaneous Impulses on Time Scales

SO Shah, C Tunç, R Rizwan, A Zada, QU Khan… - Qualitative Theory of …, 2022 - Springer
In this paper, the stability in terms of Bielecki–Ulam–Hyers and stability in terms of Bielecki–
Ulam–Hyers–Rassias of non–linear impulsive Hammerstein integro–dynamic system with …

Nonlinear impulse evolution systems and applications to population models

YV Rogovchenko - Journal of Mathematical Analysis and Applications, 1997 - Elsevier
We apply results on the existence, uniqueness, and stability of solutions obtained previously
for the abstract impulse evolution system to the study of the mathematical model of …

Existence, uniqueness and stability of solution to mixed integral dynamic systems with instantaneous and noninstantaneous impulses on time scales

SO Shah, A Zada - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we study the existence and uniqueness of solution and stability results of
mixed integral dynamic system with instantaneous and noninstantaneous impulses on time …

Stability analysis of higher order nonlinear differential equations in β–normed spaces

A Zada, S Shaleena, T Li - Mathematical Methods in the …, 2019 - Wiley Online Library
In this paper, we interrogate different Ulam type stabilities, ie, β–Ulam–Hyers stability,
generalized β–Ulam–Hyers stability, β–Ulam–Hyers–Rassias stability, and generalized β …

On the Hyers‐Ulam Stability of First‐Order Impulsive Delay Differential Equations

A Zada, S Faisal, Y Li - Journal of Function Spaces, 2016 - Wiley Online Library
This paper proves the Hyers‐Ulam stability and the Hyers‐Ulam‐Rassias stability of
nonlinear first‐order ordinary differential equation with single constant delay and finite …

Stability and controllability study for mixed integral fractional delay dynamic systems endowed with impulsive effects on time scales

HA Hammad, M De la Sen - Fractal and Fractional, 2023 - mdpi.com
In this article, we investigate a novel class of mixed integral fractional delay dynamic
systems with impulsive effects on time scales. Also, fixed-point techniques are applied to …

[HTML][HTML] Stability and controllability analysis of non–linear Volterra Fredholm Hammerstein impulsive integro–dynamic systems with delay on time scale

SO Shah, R Rizwan, S Rehman, Y Xia - Alexandria Engineering Journal, 2024 - Elsevier
The focus of this article is the examination of Volterra Fredholm Hammerstein type impulsive
integro-dynamic systems, along with their corresponding fractional order systems, within the …

Analysis of fractional integro causal evolution impulsive systems on time scales

B Pervaiz, A Zada, IL Popa… - … Methods in the …, 2023 - Wiley Online Library
In this article, we study the existence and uniqueness along with Ulam‐type stability of
fractional integro causal evolution impulsive systems on time scales. To establish our main …