Results 141 to 150 of about 4,926 (172)

Ulam‐Hyers stability of Caputo fractional difference equations

Mathematical Methods in the Applied Sciences, 2019
We study the Ulam‐Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam‐Hyers stability results of discrete fractional Caputo equations.
Churong Chen, Martin Bohner, Baoguo Jia
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Ulam–Hyers–Mittag–Leffler stability of fractional difference equations with delay

Rocky Mountain Journal of Mathematics, 2021
The authors discuss the Ulam-Hyers-Mittag-Leffler stability of a problem defined in terms of the Caputo nabla fractional difference. An example is given.
Butt, Rabia Ilyas, ur Rehman, Mujeeb
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Ulam-Hyers stability for fuzzy delay differential equation

2021
In this paper, we aim to study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of the fuzzy delay differential equation under some suitable conditions by the fixed point technique and successive approximation method. Moreover, we provide two illustrative examples of application of our results.
Ho, Vu, Le, Dong
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GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS

International Journal of Mathematics, 2012
In the present paper, we consider the generalized Hyers–Ulam stability for fractional differential equations of the form: [Formula: see text] in a complex Banach space. Furthermore, applications are illustrated.
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Ulam–Hyers stability of Caputo type fractional stochastic neutral differential equations

Statistics & Probability Letters, 2021
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Arzu Ahmadova, Nazim I. Mahmudov
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Ulam–Hyers stability of fractional Itô–Doob stochastic differential equations

Mathematical Methods in the Applied Sciences, 2023
This article is devoted to prove the existence and uniqueness (EU) of solution of fractional Itô–Doob stochastic differential equations (FIDSDE) with order by using the fixed point technique (FPT). We analyze the Ulam–Hyers stability (UHS) of FIDSDE by using the Gronwall inequality (GI) and the stochastic analysis techniques.
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Ulam–Hyers Stability for Fractional Differential Equations in Quaternionic Analysis

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Zhan-Peng, Xu, Tian-Zhou, Qi, Min
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An investigation into the characteristics of VFIDEs with delay: solvability criteria, Ulam–Hyers–Rassias and Ulam–Hyers stability

The Journal of Analysis
The authors analyze an integro-differential equation of Volterra-Fredholm type with delay. The Banach contraction principle is used to deduce sufficient conditions for the existence and uniqueness of the solution, as well as to study Ulam-Hyers-Rassias and Ulam-Hyers stabilities.
Bapan Ali Miah, Mausumi Sen, R. Murugan, Nimai Sarkar, Damini Gupta   +4 more
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Ulam–Hyers–Rassias stability problem for several kinds of mappings

Afrika Matematika, 2012
Let \(f\) maps a (topological) vector space into a Banach space and let \(\alpha,\beta\) be given scalars. The stability of functional equations of the form \[ f(\alpha(x+y))+f(\beta(x-y))=(\alpha+\beta)f(x)+(\alpha-\beta)f(y) \] is considered.
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Ulam–Hyers stability of hexadecic functional equations in multi-Banach spaces

Analysis, 2017
AbstractIn this paper, we compute the general solution and determine the Ulam–Hyers stability for a new form of hexadecic functional equations in multi-Banach spaces.
Murali Ramdoss, Sandra Pinelas, Antony Raj Ardulass   +2 more
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