Results 51 to 60 of about 3,007,544 (224)

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

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

On the Orthogonal Stability of the Pexiderized Quadratic Equation

, 2005
The Hyers--Ulam stability of the conditional quadratic functional equation of Pexider type f(x+y)+f(x-y)=2g(x)+2h(y), x\perp y is established where \perp is a symmetric orthogonality in the sense of Ratz and f is odd.Comment: 10 pages, Latex; Changed ...
Aczél J., Aczél J., Czerwik S., Czerwik S., Drljević F., Ger R., Hyers D.H., Jun K.W., Jung S.M., Mohammad Sal Moslehian, Moslehian M.S., Rassias Th.M., Vajzović F.   +12 more
core   +2 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces

Journal of Inequalities and Applications, 2022
The main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyperstability of the Jensen-type quadratic ...
Dr. Ponmana Selvan Arumugam, A. Najati
semanticscholar   +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

Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions

Mathematics, 2019
We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain.
Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, Sotiris K. Ntouyas   +3 more
doaj   +1 more source

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

On stability for nonlinear implicit fractional differential equations

Le Matematiche, 2015
The purpose of this paper is to establish some  types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
doaj  

On the stability of J$^*-$derivations

, 2009
In this paper, we establish the stability and superstability of $J^*-$derivations in $J^*-$algebras for the generalized Jensen--type functional equation $$rf(\frac{x+y}{r})+rf(\frac{x-y}{r})= 2f(x).$$ Finally, we investigate the stability of $J ...
A. Ebadian, Czerwik, Cădariu, Cădariu, Cădariu, Cădariu, Elin, Harris, Harris, Hyers, Hyers, Hyers, Jung, M. Eshaghi Gordji, M.B. Ghaemi, Moslehian, Park, Park, Park, Park, Radu, Rassias, Rassias, S. Kaboli Gharetapeh, S. Shams, Ulam   +25 more
core   +2 more sources