Results 11 to 20 of about 2,266,710 (200)

Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]

Mathematica Bohemica, 2017
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
doaj   +5 more sources

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

Journal 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, Lassaad Mchiri, Mohamed Rhaima   +2 more
doaj   +3 more sources

Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

Complexity, 2019
In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
doaj   +3 more sources

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

Mathematics, 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   +4 more sources

Sufficient Conditions for Ulam–Hyers–Rassias Stability of Fractional-Order Hopfield Neural Networks

Journal of Mathematics
In this paper, we study the Ulam–Hyers–Rassias stability of fractional-order Hopfield neural networks (FHNNs). By using the Mittag-Leffler function and Gronwall’s inequality, we show that such FHNNs are Ulam–Hyers–Rassias stable when the neuron ...
Ding Yali, Bai Nan
doaj   +3 more sources

Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias [PDF]

Boundary Value Problems, 2023
AbstractIn this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT.
Abdellatif Ben Makhlouf, El-sayed El-hady, Hassen Arfaoui, Salah Boulaaras, Lassaad Mchiri   +4 more
openaire   +5 more sources

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
In this paper, by using the Gronwall inequality, we show two new results on the UlamHyers and the Ulam-Hyers-Rassias stabilities of neutral stochastic functional differential equations. Two examples illustrating our results are exhibited.
Mohamed Rhaimá, Lassaad McHiri, Tomáš Caraballo   +2 more
exaly   +4 more sources

Ulam-Hyers-Rassias stability for fuzzy fractional integral equations

, 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.
core   +4 more sources

Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations [PDF]

Results in Mathematics, 2018
16 ...
J Vanterler da C Sousa, Sousa J Vanterler da C, De Oliveira E Capelas   +2 more
exaly   +4 more sources

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

Advances 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, Sana Shabbir, Kamal Shah, Thabet Abdeljawad   +3 more
doaj   +2 more sources