Results 111 to 120 of about 4,116 (221)
Dynamics of chaotic system based on circuit design with Ulam stability through fractal-fractional derivative with power law kernel. [PDF]
Sci Rep, 2023 Khan N +7 more
europepmc +1 more source
Hyers–Ulam stability on local fractal calculus and radioactive decay
, 2021 In this paper, we summarize the local fractal calculus, called $$F^{\alpha }$$-calculus, which defines derivatives and integrals of functions with fractal domains of non-integer dimensions, functions for which ordinary calculus fails.
Golmankhaneh, Alireza +5 more
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ON HYERS-ULAM STABILITY OF THE PEXIDER EQUATION
Demonstratio Mathematica, 2004 The following result is proved. Theorem: Let \((S,+)\) be a commutative semigroup and let \(X\) be a~sequentially complete linear topological Hausdorff space. Assume that \(V\) is a sequentially closed, bounded, convex and symmetric with respect to zero subset of \(X\).
openaire +4 more sources
Extended Hyers-Ulam stability for Cauchy-Jensen mappings
, 2007 In 1940, Ulam proposed the famous Ulam stability problem. In 1941, Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings.
Rassias, J.M., Kim, H.-M., Jun, K.-W.
core
, 2017 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 Hadamard fractional-order ...
BENCHOHRA, Mouffak, LAZREG, Jamal E.
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On Generalized Hyers‐Ulam Stability of Admissible Functions [PDF]
Abstract and Applied Analysis, 2012 We consider the Hyers‐Ulam stability for the following fractional differential equations in sense of Srivastava‐Owa fractional operators (derivative and integral) defined in the unit disk: , in a complex Banach space. Furthermore, a generalization of the admissible functions in complex Banach spaces is imposed, and applications are illustrated.
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Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
, 2017 The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein ...
L. P. Castro +3 more
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An Application of Ulam-Hyers Stability in DC Motors
, 2014 In this paper, a generalization to nonlinear systems is proposed and applied to the motor dynamic, rotor model and stator model in DC motor equation.
Bodaghi, Abasalt, Pargali, Naser
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Hyers-Ulam stability of Volterra integro-differential equations
, 2014 In this paper, we will apply the fixed point method for proving the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of a nonlinear Volterra integrodifferentialequation.
Şevgin, Sebaheddin, SEVLI, HAMDULLAH
core
On the Stability of a Cubic Functional Equation in Random Normed Spaces
Journal of Mathematical Extension, 2009 The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj