Results 51 to 60 of about 814 (188)

Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition

Advances in Difference Equations, 2017
In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
doaj   +1 more source

Hyers–Ulam–Rassias stability of a linear recurrence

Journal of Mathematical Analysis and Applications, 2005
The author considers a linear recurrence \[ x_{n+1}=a_nx_n+b_n,\qquad n\geq 0,\;x_0\in X \] where \((x_n)\) is a sequence in a Banach space \(X\) and \((a_n)\), \((b_n)\) are given sequences of scalars and vectors in \(X\), respectively. Then, a stability result is proved: Suppose that \(\varepsilon>0\), \(| a| >1\) and an arbitrary sequence \((b_n ...
openaire   +2 more sources

On the Hyers-Ulam-Rassias stability of a general cubic functional equation [PDF]

Mathematical Inequalities & Applications, 2003
Let \(X\) be a real vector space and let \(Y\) be a real Banach space. For a function \(f:X\to Y\) the difference operator is given by \(\Delta_yf(x)=f(x+y)-f(x)\). Let \(\Delta_y^1f(x)=\Delta_yf(x)\), \(\Delta_y^{k+1}f(x)=\Delta_y\bigl(\Delta_y^kf(x)\bigr)\). A general solution of the functional equation \(\Delta_y^nf(x)=0\) was given by \textit{D. Z.
Hark-Mahn Kim, Kil-Woung Jun
openaire   +3 more sources

Four Different Ulam-Type Stability for Implicit Second-Order Fractional Integro-Differential Equation with M-Point Boundary Conditions

Mathematics
In this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem.
Ilhem Nasrallah, Rabiaa Aouafi, Said Kouachi   +2 more
doaj   +1 more source

Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations

Advances in Difference Equations, 2021
In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan, Thabet Abdeljawad, Kamal Shah, Gohar Ali, Hasib Khan, Aziz Khan   +5 more
doaj   +1 more source

The generalized Hyers–Ulam–Rassias stability of a cubic functional equation

Journal of Mathematical Analysis and Applications, 2002
The authors consider the functional equation \[ f(2x+y) +f(2x-y)=2f(x+y)+ 2f(x-y)+12f(x). \] They determine the general solution, which is of the form \(f(x)= B(x,x,x)\) where \(B\) is symmetric and additive in each variable. Moreover they investigate the stability properties of this equation.
Hark-Mahn Kim, Kil-Woung Jun
openaire   +2 more sources

Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye, A. L. Sackitey, Agnes Adom‐Konadu, Samuel E. Assabil, Luca Guerrini, M. F. Ofori, Massimiliano Ferrara   +6 more
wiley   +1 more source

Smart Mosquito‐Nets: A Natural Approach to Controlling Malaria Using Larvicidal Plant Extracts and Internet of Things

Engineering Reports, Volume 7, Issue 9, September 2025.
Smart malaria control using larvicidal plant extracts and mosquito nets. With the model, sensor nodes can be installed to collect environmental data that enhances the breeding of mosquitoes and the timing of malaria‐treated mosquito nets. Data collected can be processed using artificial intelligence for decision‐ and policy‐making.
Juliet Onyinye Nwigwe, Kennedy Chinedu Okafor, Ogonna Christiana Ani, Titus Ifeanyi Chinebu, Okafor Ijeoma Peace, Omowunmi Mary Longe, Kelvin Anoh   +6 more
wiley   +1 more source

Continuous Dependence on the Initial Functions and Stability Properties in Hyers–Ulam–Rassias Sense for Neutral Fractional Systems with Distributed Delays

Fractal and Fractional, 2023
We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov, Mariyan Milev, Magdalena Veselinova, Andrey Zahariev   +3 more
doaj   +1 more source

The Impact of Memory Effects on Lymphatic Filariasis Transmission Using Incidence Data From Ghana

Engineering Reports, Volume 7, Issue 7, July 2025.
Modeling Lymphatic Filariasis by incorporating disease awareness through fractional derivative operators. ABSTRACT Lymphatic filariasis is a neglected tropical disease caused by a parasitic worm transmitted to humans by a mosquito bite. In this study, a mathematical model is developed using the Caputo fractional operator.
Fredrick A. Wireko, Rebecca Awerigiya, Isaac K. Adu, Joshua N. Martey, Bernard O. Bainson, Joshua Kiddy K. Asamoah   +5 more
wiley   +1 more source