Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses

A Zada, W Ali, S Farina - Mathematical methods in the Applied …, 2017 - Wiley Online Library
This paper is devoted to establish Bielecki–Ulam–Hyers–Rassias stability, generalized
Bielecki–Ulam–Hyers–Rassias stability, and Bielecki–Ulam–Hyers stability on a compact …

Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi–Banach spaces

JR Wang, A Zada, W Ali - International Journal of Nonlinear Sciences …, 2018 - degruyter.com
In this paper, Ulam's-type stabilities are studied for a class of first-order impulsive differential
equations with bounded variable delays on compact interval with finite number of impulses …

[PDF][PDF] Impulsive controllability of tumor growth

A Antonov, S Nenov, T Tsvetkov - Dynamic Systems and …, 2019 - dynamicpublishers.com
IMPULSIVE CONTROLABILITY OF TUMOR GROWTH ANDREY ANTONOV1, SVETOSLAV
NENOV2, AND TSVETELIN TSVETKOV3 1,2,3Department of Mathemati Page 1 Dynamic …

Existence and uniqueness of classical and mild solutions of generalized impulsive evolution equation

V Shah, RK George, J Sharma… - International Journal of …, 2018 - degruyter.com
In this article, the existence and uniqueness of generalized nonlinear impulsive evolution
equation is derived. The proposed system is modeled with nonlinear perturbed force which …

Antiperiodic Solutions for Impulsive ω-Weighted ϱ–Hilfer Fractional Differential Inclusions in Banach Spaces

Z Alsheekhhussain, AG Ibrahim, MM Al-Sawalha… - Fractal and …, 2024 - mdpi.com
In this article, we construct sufficient conditions that secure the non-emptiness and
compactness of the set of antiperiodic solutions of an impulsive fractional differential …

Stability analysis of an eco-epidemiological SIN model with impulsive control strategy for integrated pest management considering stage-structure in predator

P Kalra, M Kaur - International Journal of Mathematical …, 2022 - inderscienceonline.com
Pest outbreak is a major threat to agricultural resources and livestock. Integrated pest
management is widely being used nowadays to control the pest population. Natural …

Existence results of noninstantaneous impulsive fractional integro-differential equation

HR Kataria, PH Patel, V Shah - Demonstratio Mathematica, 2020 - degruyter.com
Existence of mild solution for noninstantaneous impulsive fractional order integro-differential
equations with local and nonlocal conditions in Banach space is established in this paper …

On solution of non-instantaneous impulsive Hilfer fractional integro-differential evolution system

GJ Trivedi, V Shah, J Sharma… - Mathematica Applicanda, 2023 - yadda.icm.edu.pl
In this article, we have considered the non-instantaneous fractional integro di erential
evolution system with Hilfer fractional di erential operator in the Banach space and …

[HTML][HTML] Existence and Stability of Solutions for p-Proportional ω-Weighted κ-Hilfer Fractional Differential Inclusions in the Presence of Non-Instantaneous Impulses …

F Aladsani, AG Ibrahim - Fractal and Fractional, 2024 - mdpi.com
In this work, we introduce a new definition for the fractional differential operator that
generalizes several well-known fractional differential operators. In fact, we introduce the …

Existence and uniqueness of classical and mild solutions of fractional Cauchy problem with impulses

V Shah, J Sharma, RK George - Malaya Journal of Matematik, 2023 - malayajournal.org
In this manuscript, we have established conditions for the existence and uniqueness of mild
and classical solutions to the fractional order Cauchy problem by including and without …