Results 21 to 30 of about 1,858 (164)

Stability of a functional equation deriving from cubic and quartic functions [PDF]

open access: yes, 2008
In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A.   +2 more
core   +3 more sources

Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform

open access: yesMathematics, 2021
In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
doaj   +1 more source

Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]

open access: yes, 2006
The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
core   +5 more sources

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

open access: yesJournal of Inequalities and Applications, 2022
AbstractWe study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle. Further, we define and study the Ulam–Hyers stability and Ulam–Hyers–Rassias stability of solutions. We also discuss an illustrative example.
Mohamed Houas   +3 more
openaire   +3 more sources

Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

open access: yesAdvances in Difference Equations, 2019
In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana   +2 more
doaj   +1 more source

On existence and stability results to a class of boundary value problems under Mittag-Leffler power law

open access: yesAdvances in Difference Equations, 2020
Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali   +5 more
doaj   +1 more source

Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations [PDF]

open access: yes, 2013
The generalized Hyers-Ulam-Rassias stability of generalized module left ▫$(m,n)$▫-derivations on a normed algebra ▫$mathcal{A}$▫ into a Banach left ▫$mathcal{A}$▫-module is established.V članku je obravnavana Hyers-Ulam-Rassias stabilnost posplošenih ...
Fošner, Ajda
core   +1 more source

Existence and stability results for ψ-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions

open access: yesAIMS Mathematics, 2021
In this paper, we discuss the existence, uniqueness and stability of boundary value problems for $\psi$-Hilfer fractional integro-differential equations with mixed nonlocal (multi-point, fractional derivative multi-order and fractional integral ...
Weerawat Sudsutad   +2 more
doaj   +1 more source

Ulam-Hyers-Rassias stability for fuzzy fractional integral equations

open access: yes, 2020
Summary: In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique.
Vu, H., Rassias, J.M., Van Hoa, N.
openaire   +2 more sources

Asymptotic stability of the Cauchy and Jensen functional equations [PDF]

open access: yes, 2016
The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for large arguments with small error, then they are also valid everywhere with a ...
A. Bahyrycz   +19 more
core   +2 more sources

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