Results 21 to 30 of about 2,275,004 (213)
Advances in Difference Equations, 2020 Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo +3 more
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On the Ulam-Hyers stability of a quadratic functional equation [PDF]
Journal of Inequalities and Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park Won-Gil +2 more
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Ulam-Hyers Stability for Operatorial Equations
Annals of the Alexandru Ioan Cuza University - Mathematics, 2011 Let \((X,d)\) be a metric space, \(\mathcal P(X):=\{Y\subset X\}\), \(P(X):=\{Y\in\mathcal P(X):Y\neq\emptyset\}\), \(D_d:P(X)\times P(X)\to\mathbb R_+\) the gap functional, given by \[ D_d(A,B)=\inf\left\{d(a,b):a\in A,\,b\in B\right\}, \] and let \(F:X\to P(X)\) be a multivalued operator.
Bota-Boriceanu, M. F., Petruşel, A.
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Axioms, 2022 A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
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Complexity, 2021 In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo +4 more
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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 +3 more
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Ulam-Hyers stability for operatorial inclusions [PDF]
Creative Mathematics and Informatics, 2012 The purpose of the work is to present some Ulam-Hyers stability results for the coincidence point problem associated to single-valued and multivalued operators. As an application, an Ulam-Hyers stability theorem for a differential inclusion.
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Advances in Difference Equations, 2020 Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali +5 more
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Advances in Difference Equations, 2020 This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada +3 more
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Hyers-Ulam stability of a generalized Apollonius type quadratic mapping [PDF]
, 2006 Let X,Y be linear spaces. It is shown that if a mapping Q:X→Y satisfies the following functional equation:(0.1)Q((∑i=1nzi)−(∑i=1nxi))+Q((∑i=1nzi)−(∑i=1nyi))=12Q((∑i=1nxi)−(∑i=1nyi))+2Q((∑i=1nzi)−(∑i=1nxi)+(∑i=1nyi)2) then the mapping Q:X→Y is quadratic ...
Park, C-G +3 more
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