Ulam–Hyers–Mittag–Leffler stability of fractional difference equations with delay
Rocky Mountain Journal of Mathematics, 2021The 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–Rassias Stability for a Class of Fractional Integro-Differential Equations [PDF]
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EdmundO Capelas de Oliveira +2 more
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GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
International Journal of Mathematics, 2012In 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 for Fractional Differential Equations in Quaternionic Analysis
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Zhan-Peng, Xu, Tian-Zhou, Qi, Min
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Ulam-Hyers stability for fuzzy delay differential equation
2021In 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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Ulam–Hyers stability of elliptic partial differential equations in Sobolev spaces
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Szilárd András +1 more
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Ulam–Hyers–Rassias stability problem for several kinds of mappings
Afrika Matematika, 2012Let \(f\) 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 fractional Itô–Doob stochastic differential equations
Mathematical Methods in the Applied Sciences, 2023This 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 of hexadecic functional equations in multi-Banach spaces
Analysis, 2017AbstractIn 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 +2 more
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A Uniform Method to Ulam–Hyers Stability for Some Linear Fractional Equations
Mediterranean Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, JinRong, Li, Xuezhu
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