Results 81 to 90 of about 2,266,660 (165)

Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

Advances in Difference Equations, 2017
This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative.
S Abbas, M Benchohra, JE Lagreg, A Alsaedi, Y Zhou   +4 more
doaj   +1 more source

On Hyers–Ulam–Rassias Stability of the Pexider Equation [PDF]

, 1999
In this paper, using the idea of P. Găvruta (1994, J. Math. Anal. Appl.184, 431–436), we prove a generalization of the stability of approximately additive mappings in the spirits of Hyers, Ulam, and ...
Jun, Kil-Woung, Shin, Dong-Soo, Kim, Byung-Do   +2 more
core   +1 more source

β–Hyers–Ulam–Rassias Stability of Semilinear Nonautonomous Impulsive System

, 2019
In this paper, we study a system governed by impulsive semilinear nonautonomous differential equations. We present the β –Ulam stability, β –Hyers–Ulam stability and β –Hyers–Ulam–Rassias ...
Muhammad Arif, Xiaoming Wang, Akbar Zada
core   +1 more source

Existence and stability of mixed type Hilfer fractional differential equations with impulses and time delay

Results in Applied Mathematics
In this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
doaj   +1 more source

Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations

, 2019
This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli's, Riccati and Abel with given initial ...
Mısır, Adil, Ogrekci, S., Misir, A., Başcı, Yasemin, Suleyman ÖGREKCI, Öğrekçi, Süleyman, Yasemin BASCI, Basci, Y., Adil MISIR   +8 more
core   +1 more source

Ulam’s Type Stability of a Discrete Matrix Equation with Second-Order Difference and Single Delay

Mathematical and Computational Applications
In this paper, we investigate the Ulam stability problem for a second-order discrete matrix difference equation with a single delay. The primary aim of this work is to establish rigorous Ulam-type stability criteria for this class of delayed matrix ...
Maosong Yang, Guanli Xiao, Yumei Liao, Adan Ding   +3 more
doaj   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations

, 2017
The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein ...
L. P. Castro, Castro, L. P., Simões, A. M., A. M. Simões   +3 more
core   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan   +3 more
doaj   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias stability for a class of integro-differential equations [PDF]

, 2018
We analyse different kinds of stabilities for a class of very general nonlinear integro-differential equations of Volterra type within appropriate metric spaces.
L. P. Castro, Castro, L. P., Simões, A. M., A. M. Simões   +3 more
core   +1 more source

Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations

, 2020
In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator ...
Yao Ying, An Guangyu
core   +1 more source