Results 51 to 60 of about 11,444 (271)

Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations [PDF]

, 2013
The generalized Hyers-Ulam-Rassias stability of generalized module left ▫$(m,n)$▫-derivations on a normed algebra ▫$mathcal{A}$▫ into a Banach left ▫$mathcal{A}$▫-module is established.V članku je obravnavana Hyers-Ulam-Rassias stabilnost posplošenih ...
Fošner, Ajda
core   +1 more source

Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type

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
doaj   +1 more source

On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]

, 2019
In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P., Kucche, Kishor D., Sousa, J. Vanterler da C.   +2 more
core   +4 more sources

The Hyers–Ulam stability of nonlinear recurrences

Journal of Mathematical Analysis and Applications, 2007
We show some Hyers–Ulam type stability results for some nonlinear recurrences in metric spaces.
Janusz Brzdęk, Dorian Popa, Bing Xu
openaire   +2 more sources

On the asymptoticity aspect of Hyers-Ulam stability of mappings [PDF]

Proceedings of the American Mathematical Society, 1998
The object of the present paper is to prove an asymptotic analogue of Th. M. Rassias’ theorem obtained in 1978 for the Hyers-Ulam stability of mappings.
Themistocles M. Rassias, George Isac, Donald H Hyers   +2 more
openaire   +1 more source

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

Demonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Manzoor Ahmad, A. Zada, J. Alzabut
semanticscholar   +1 more source

On a modified Hyers‐Ulam stability of homogeneous equation [PDF]

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper, a generalized Hyers‐Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖f(yx) − ykf(x)‖ ≤ φ(x, y) under suitable conditions, there exists a unique mapping T satisfying T(yx) = ytT(x) and ‖T(x) − f(x)‖ ≤ Φ(x).
openaire   +3 more sources

Hyers-Ulam Stability of Nonlinear Integral Equation [PDF]

Fixed Point Theory and Applications, 2010
AbstractWe will apply the successive approximation method for proving the Hyers-Ulam stability of a nonlinear integral equation.
Mortaza Gachpazan, Omid Baghani
openaire   +4 more sources

Existence of positive solution and Hyers–Ulam stability for a nonlinear singular-delay-fractional differential equation

Advances in Differential Equations, 2019
In this article, we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) stability. To proceed, we use classical fixed point theorem
H. Khan, T. Abdeljawad, Muhammad Aslam, R. Khan, Aziz Khan   +4 more
semanticscholar   +1 more source

Ulam’s stability for some linear conformable fractional differential equations

Advances in Difference Equations, 2020
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
doaj   +1 more source