Results 81 to 90 of about 11,444 (271)

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

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

Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems [PDF]

, 2019
In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is based on a new version of the Perov
Blouhi, Tayeb, Boudaoui, Ahmed, Caraballo Garrido, Tomás   +2 more
core  

Approximate Homomorphisms of Ternary Semigroups

, 2005
A mapping $f:(G_1,[ ]_1)\to (G_2,[ ]_2)$ between ternary semigroups will be called a ternary homomorphism if $f([xyz]_1)=[f(x)f(y)f(z)]_2$. In this paper, we prove the generalized Hyers--Ulam--Rassias stability of mappings of commutative semigroups into ...
A. Cayley, C. Baak, D.H. Hyers, D.H. Hyers, G.L. Forti, J. Baker, J. Sylvester, L. Székelyhidi, L. Takhtajan, L. Vainerman, M. Amyari, M. Kapranov, M. S. Moslehian, M.S. Moslehian, N. Bazunova, P. Găvruta, R. Kerner, S.A. Rusakov, S.M. Ulam, Th.M. Rassias, Th.M. Rassias, V. Abramov, Y.L. Daletskii   +22 more
core   +2 more sources

Hyers–Ulam stability with respect to gauges

Journal of Mathematical Analysis and Applications, 2017
Abstract We suggest a somewhat new approach to the issue of Hyers–Ulam stability. Namely, let A, B be (real or complex) linear spaces, L : A → B be a linear operator, N : = k e r L , and ρ A and ρ B be semigauges on A and B, respectively. We say that L is HU-stable with constant K ≥ 0 if for each
Janusz Brzdęk, Ioan Raşa, Dorian Popa
openaire   +2 more sources

Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control

Engineering Reports, Volume 7, Issue 5, May 2025.
The dynamics of the monkeypox disease in the population. ABSTRACT This study constructs a compartmental model that incorporates the dynamics of implementing a double‐dose vaccination for the Mpox disease. The study further explores the pattern of saturated transmission dynamics of the Mpox disease.
Fredrick Asenso Wireko, Joshua Nii Martey, Isaac Kwasi Adu, Bright Emmanuel Owusu, Sebastian Ndogum, Joshua Kiddy K. Asamoah   +5 more
wiley   +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

Hyers–Ulam stability of zeros of polynomials

Applied Mathematics Letters, 2011
AbstractWe prove that if |a1| is large and |a0| is small enough, then every approximate zero of the polynomial of degree n, anzn+an−1zn−1+⋯+a1z+a0=0, can be approximated by a true zero within a good error bound.
openaire   +2 more sources

On Hyers–Ulam–Rassias Stability of the Pexider Equation

Journal of Mathematical Analysis and Applications, 1999
Let \((G,+)\) be an abelian group, \((X,\|\cdot\|)\) be a Banach space and \(f,g,h:G\rightarrow X\) be mappings. An equation \(f(x+y)=g(x)+h(y)\) is called a Pexider functional equation. In the paper the stability of that equation in the spirit of Hyers-Ulam-Rassias is considered. The main theorem is the following: Let \(\varphi:G\times G\rightarrow[0,\
Dong-Soo Shin, Byung-Do Kim, Kil-Woung Jun   +2 more
openaire   +3 more sources

On proportional hybrid operators in the discrete setting

Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4344-4364, 15 March 2025.
In this article, we introduce a new nonlocal operator Hα$$ {H}^{\alpha } $$ defined as a linear combination of the discrete fractional Caputo operator and the fractional sum operator. A new dual operator Rα$$ {R}^{\alpha } $$ is also introduced by replacing the discrete fractional Caputo operator with the discrete fractional Riemann ...
Carlos Lizama, Marina Murillo‐Arcila
wiley   +1 more source