Results 31 to 40 of about 4,116 (221)

On Ulam Stability of a Functional Equation [PDF]

open access: yesResults in Mathematics, 2020
AbstractIn this note, we study the Ulam stability of a functional equation both in Banach and m-Banach spaces. Particular cases of this equation are, among others, equations which characterize multi-additive and multi-Jensen functions. Moreover, it is satisfied by the so-called multi-linear mappings.
openaire   +2 more sources

Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods

open access: yesJournal of Function Spaces, 2021
The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via ...
Abdellatif Ben Makhlouf   +2 more
doaj   +1 more source

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

open access: yesAdvances in Difference Equations, 2020
Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo   +3 more
doaj   +1 more source

On Ulam stability

open access: yesIsrael Journal of Mathematics, 2012
Inspired by the bankruptcy of Lehman Brothers and its consequences on the global financial system, we develop a simple model in which the Lehman default event is quantified as having an almost immediate effect in worsening the credit worthiness of all financial institutions in the economic network. In our stylized description, all properties of a given
M. Burger, N Ozawa, A. Thom
openaire   +4 more sources

Ulam type stability problems for alternative homomorphisms [PDF]

open access: yes, 2016
We introduce an alternative homomorphism with respect to binary operations and investigate the Ulam type stability problem for such a mapping. The obtained results apply to Ulam type stability problems for several important functional equations ...
Tsukada, Makoto   +4 more
core   +2 more sources

Hyers-Ulam stability of a certain Fredholm integral equation [PDF]

open access: yes, 2021
In this paper, by using Fixed point Theorem we establish the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of certain homogeneous Fredholm Integral equation of the second kind and non-homogeneous equation.info:eu-repo/semantics ...
Selvan, Ponmana, Simões, A. M.
core   +3 more sources

Existence and Stability of Implicit Fractional Differential Equations with Stieltjes Boundary Conditions Involving Hadamard Derivatives

open access: yesComplexity, 2021
In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo   +4 more
doaj   +1 more source

Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives [PDF]

open access: yes, 2015
summary:The aim of this paper is to study the stability of fractional differential equations in Hyers-Ulam sense. Namely, if we replace a given fractional differential equation by a fractional differential inequality, we ask when the solutions of the ...
Xu, Tian-Zhou, Wang, Chun
core   +1 more source

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

open access: yesAdvances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada   +3 more
doaj   +1 more source

Stability analysis for a class of implicit fractional differential equations involving Atangana–Baleanu fractional derivative

open access: yesAdvances in Difference Equations, 2021
Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative and integral.
Asma   +3 more
doaj   +1 more source

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