Results 131 to 140 of about 7,083 (231)

Hyers–Ulam Stability and Existence of Solutions for Differential Equations with Caputo–Fabrizio Fractional Derivative

open access: yesMathematics, 2019
In this paper, the Hyers–Ulam stability of linear Caputo–Fabrizio fractional differential equation is established using the Laplace transform method.
Kui Liu   +3 more
doaj   +1 more source

On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

open access: yesInternational Journal of Analysis and Applications, 2019
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

open access: yesAbstract and Applied Analysis, 2009
Lee, An and Park introduced the quadratic functional equation f(2x+y)+f(2x−y)=8f(x)+2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias.
Choonkil Park, Ji-Hye Kim
doaj   +1 more source

Hyers–Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions

open access: yesJournal of Mathematical Physics, 2009
We consider the Hyers–Ulam stability of a generalized quadratic functional equation in the spaces of distributions of Schwartz and hyperfunctions of Gelfand modulo bounded distributions and hyperfunctions.
Chung, J.-Y., Kim, D., Rassias, J.M.
openaire   +3 more sources

Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach

open access: yesFixed Point Theory and Applications, 2008
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak
Jong Su An, Choonkil Park
doaj   +1 more source

Hyers–Ulam stability of the iterative equation with a general boundary restriction

open access: yesJournal of Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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