Results 41 to 50 of about 1,857 (182)

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

On the Generalized Hyers‐Ulam‐Rassias Stability of Quadratic Functional Equations [PDF]

Abstract and Applied Analysis, 2009
We achieve the general solution and the generalized Hyers‐Ulam‐Rassias and Ulam‐Gavruta‐Rassias stabilities for quadratic functional equations f(ax + by) + f(ax − by) = (b(a + b)/2)f(x + y) + (b(a + b)/2)f(x − y) + (2a2 − ab − b2)f(x) + (b2 − ab)f(y) where a, b are nonzero fixed integers with b ≠ ±a, −3a, and f(ax + by) + f(ax − by) = 2a2f(x) + 2b2f(y)
Gordji, M. Eshaghi, Khodaei, H.
openaire   +4 more sources

Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

Mathematical Biosciences and Engineering, 2022
<abstract><p>In this paper, using the fractional integral with respect to the $ \Psi $ function and the $ \Psi $-Hilfer fractional derivative, we consider the Volterra fractional equations. Considering the Gauss Hypergeometric function as a control function, we introduce the concept of the Hyers-Ulam-Rassias-Kummer stability of this ...
Zahra Eidinejad, Reza Saadati
openaire   +3 more sources

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

Satbility of Ternary Homomorphisms via Generalized Jensen Equation

, 2005
In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal, Szekelyhidi, Laszlo   +1 more
core   +2 more sources

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

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

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

Mathematical Modeling of Giardiasis Transmission Dynamics Using Caputo Fractional Derivative

Engineering Reports, Volume 8, Issue 3, March 2026.
The research offers an insight into the dynamics of giardiasis transmission as well as direction to practitioners and public health authorities in developing specific intervention strategies to mitigate the negative effects of these parasitic infections on the well‐being of the population. ABSTRACT Giardia duodenalis is a protozoan parasite that causes
Joshua Kiddy K. Asamoah, Isaac K. Adu, Fredrick A. Wireko, Adu Sakyi   +3 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