Results 21 to 30 of about 2,266,660 (165)

Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative

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, Nasrin Eghbali, Hassen Aydi   +2 more
doaj   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations

, 2021
We investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations for functions defined on a time scale with values in a Banach ...
Alghamdi, Maryam A., Bohner, Martin, Alharbi, Mymonah, Hamza, Alaa E.   +3 more
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Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Linear Dynamic Equations

, 2021
We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach ...
Alghamdi, Maryam A., Bohner, Martin, Aljehani, Alaa, Hamza, Alaa E.   +3 more
core   +1 more source

Hyers-Ulam-Rassias stability of generalized derivations [PDF]

, 2006
The generalized Hyers-Ulam-Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is ...
Mohammad Sal Moslehian
core   +1 more source

Study of implicit delay fractional differential equations under anti-periodic boundary conditions

Advances in Difference Equations, 2020
This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali, Kamal Shah, Thabet Abdeljawad   +2 more
doaj   +1 more source

Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition

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
doaj   +1 more source

Hyers- Ulam Rassias Stability of Exponential Primitive Mapping [PDF]

, 2013
The aim of this paper is to prove  the stability of  Exponential Primitive Mapping in sprit of  Hyers- Ulam- Rassias. Keywords .  Hyers- Ulam Rassias Stability, Exponential Primitive Mapping. AMS Subject Classification (1991).
Shrivastava, Kavita
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Hyers- Ulam Rassias Stability of multiplicative Cauchy equation [PDF]

, 2015
The aim of this  paper is to prove  the stability of  multiplicative equation  in sprit of  Hyers- Ulam- Rassias. Keywords .  Hyers- Ulam Rassias Stability, multiplicative equation AMS Subject Classification (1991).
Shrivastava, Kavita
core   +1 more source

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, Rassias, ThM, Rassias, Themistocles M., Park, Chun-Gil   +3 more
core   +1 more source