Results 51 to 60 of about 4,926 (172)

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 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  

Ulam-Hyers stability for matrix-valued fractional differential equations [PDF]

Journal of Mathematical Inequalities, 2018
Summary: In this paper, some Ulam-Hyers stability results for matrix-valued fractional differential equations are obtained. We also establish some sufficient conditions for the stability of matrix-valued fractional differential equations.
Yang, Zhanpeng, Ren, Wenjuan, Xu, Tianzhou   +2 more
openaire   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan   +3 more
doaj   +1 more source

On a coupled system of pantograph problem with three sequential fractional derivatives by using positive contraction-type inequalities

Results in Physics, 2022
This paper aims to establish conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives.
Reny George, Mohamed Houas, Mehran Ghaderi, Shahram Rezapour, S.K. Elagan   +4 more
doaj   +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  

Ulam–Hyers and Generalized Ulam–Hyers Stability of Fractional Differential Equations with Deviating Arguments

Mathematics
In this paper, we study the initial value problem for the fractional differential equation with multiple deviating arguments. By using Krasnoselskii’s fixed point theorem, the conditions of solvability of the problem are obtained. Furthermore, we establish Ulam–Hyers and generalized Ulam–Hyers stability of the fractional functional differential problem.
Natalia Dilna, Gusztáv Fekete, Martina Langerová, Balázs Tóth   +3 more
openaire   +2 more sources

Ulam-Hyers-Rassias stability of pseudoparabolic partial differential equations [PDF]

Carpathian Journal of Mathematics, 2015
The aim of this paper is to give some types of Ulam stability for a pseudoparabolic partial differential equation. In this case we consider Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability. We investigate some new applications of the Gronwall lemmas to the Ulam stability of a nonlinear pseudoparabolic partial differential equations.
NICOLAIE LUNGU, SORINA ANAMARIA CIPLEA
openaire   +1 more source

Study of implicit delay fractional differential equations under anti-periodic boundary conditions

Advances in Difference Equations, 2020
This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali, Kamal Shah, Thabet Abdeljawad   +2 more
doaj   +1 more source

Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations

Mathematics, 2022
In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian, Sorina Anamaria Ciplea, Nicolaie Lungu   +2 more
doaj   +1 more source