Results 51 to 60 of about 2,266,710 (200)

On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces withoutΔ2-Conditions

open access: yesJournal of Function Spaces, 2015
We approach the generalized Ulam-Hyers-Rassias (briefly, UHR) stability of quadratic functional equations via the extensive studies of fixed point theory. Our results are obtained in the framework of modular spaces whose modulars are lower semicontinuous (briefly, lsc) but do not satisfy any relatives ofΔ2-conditions.
Kittipong Wongkum   +2 more
openaire   +3 more sources

Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation [PDF]

open access: yesProyecciones (Antofagasta), 2013
Using the alternative fixed point theorem, we establish the generalized Hyers—Ulam—Rassias stability of a Cauchy type functional equation for functions taking values in arbitrary complete (real or complex) β-normed spaces.
openaire   +2 more sources

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

open access: yes, 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
core   +1 more source

Hyers- Ulam Rassias Stability of multiplicative Cauchy equation [PDF]

open access: yes, 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

Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations

open access: yesAdvances in Difference Equations, 2021
In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan   +5 more
doaj   +1 more source

Hyers-Ulam stability of a generalized Apollonius type quadratic mapping [PDF]

open access: yes, 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   +3 more
core   +1 more source

Four Different Ulam-Type Stability for Implicit Second-Order Fractional Integro-Differential Equation with M-Point Boundary Conditions

open access: yesMathematics
In this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem.
Ilhem Nasrallah   +2 more
doaj   +1 more source

Mathematical Modeling of Giardiasis Transmission Dynamics Using Caputo Fractional Derivative

open access: yesEngineering Reports, Volume 8, Issue 3, March 2026.
The research offers an insight into the dynamics of giardiasis transmission as well as direction to practitioners and public health authorities in developing specific intervention strategies to mitigate the negative effects of these parasitic infections on the well‐being of the population. ABSTRACT Giardia duodenalis is a protozoan parasite that causes
Joshua Kiddy K. Asamoah   +3 more
wiley   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

Existence, Uniqueness and Ulam-Hyers-Rassias Stability of Differential Coupled Systems with Riesz-Caputo Fractional Derivative

open access: yesTatra Mountains Mathematical Publications, 2023
Abstract This article deals with the existence, uniqueness and Ulam-Hyers--Rassias stability results for a class of coupled systems for implicit fractional differential equations with Riesz-Caputo fractional derivative and boundary conditions.
Salim, Abdelkrim   +2 more
openaire   +2 more sources

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