Results 51 to 60 of about 6,753 (236)
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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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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Asymptotic stability of the Cauchy and Jensen functional equations [PDF]
, 2016 The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for large arguments with small error, then they are also valid everywhere with a ...
A. Bahyrycz +19 more
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Mathematics, 2022 The Laplace transform method is applied to study the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of the second order. A general equation is formulated first; then, some particular cases for the function from the kernel ...
D. Inoan, D. Marian
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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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Journal of Mathematics, 2021 In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative.
Leila Sajedi +2 more
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ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS [PDF]
Communications of the Korean Mathematical Society, 2011 We consider the Hyers-Ulam-Rassias stability problem 2u ◦ A 2 u ◦ P1 u ◦ P2 "(j xj p + j yj p ); x;y 2 R n for the Schwartz distributions u, which is a distributional version of the Hyers-Ulam-Rassias stability problem of the Jensen functional equation 2f ( x + y 2 ) f(x) f(y) "(j xj p + j yj p ); x;y 2 R n for the function f : R n ! C.
Eun-Gu Lee, Jaeyoung Chung
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On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality [PDF]
Mathematical Inequalities & Applications, 2001 The authors examine the Hyers-Ulam-Rassias stability [see \textit{D. H. Hyers, G. Isac} and \textit{Th. M. Rassias}, Stability of Functional Equations in Several Variables, Birkhäuser, Boston (1998; Zbl 0907.39025); and \textit{Soon-Mo Jung}, Hyers-Ulam-Rassias stability of functional equations in Mathematical Analysis, Hadronic Press, Palm Harbor ...
K. Jun, Yang-Hi Lee
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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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International Journal of Mathematics and Mathematical Sciences, 2023 In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravi Sharma, S. Chandok
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