Results 31 to 40 of about 2,495 (216)
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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A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
Nonlinear Engineering, 2021 An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
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Stability of a functional equation deriving from cubic and quartic functions [PDF]
, 2008 In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A. +2 more
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On a general Hyers‐Ulam stability result
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we prove two general theorems about Hyers‐Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
Costanz Borelli, Gian Luigi Forti
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Advances in Difference Equations, 2017 In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
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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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Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative [PDF]
, 2017 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit Hadamard fractional-order ...
BENCHOHRA, Mouffak, LAZREG, Jamal E.
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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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Cauchy-Jensen additive mappings in quasi-Banach algebras and its applications [PDF]
, 2013 In this paper, we prove the Hyers-Ulam stability of homomorphisms in quasi-Banach algebras and of generalized derivations on quasi-Banach algebras for the following Cauchy-Jensen additive ...
Abbas Najati, Choonkil Park
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Generalized linear differential equation using Hyers-Ulam stability approach
AIMS Mathematics, 2021 In this paper, we study the Hyers-Ulam stability with respect to the linear differential condition of fourth order. Specifically, we treat ${\psi}$ as an interact arrangement of the differential condition, i.e., where ${\psi} \in c^4 [{\ell}, {\mu}], {\Psi} \in [{\ell}, {\mu}]$. We demonstrate that ${\psi}^{iv} ({\varkappa}) + {\xi}_1 {\psi}{''&
Bundit Unyong +7 more
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