نتایج جستجو برای: hyers ulam stability

تعداد نتایج: 300781  

Journal: :General letters in mathematics 2022

In this paper, we study the existence of solutions for fractional differential equations with Caputo-Hadamard derivative order 2 (1, 2]. The uniqueness result is proved via Banach’s contraction mapping principle and results are established by using Schauder’s fixed point theorem. Furthermore, Ulam-Hyers Ulam-Hyers-Rassias stability proposed equation employed. Some examples given to illustrate r...

Journal: :Journal of Mathematics 2023

This paper aims to study the existence and uniqueness of solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a , ∞ ≥ 0 , in an applicable Banach...

L. Gavruta P. Gavruta

We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.

Journal: :Fractal and fractional 2022

The purpose of this article is to discuss the existence, uniqueness, and Ulam–Hyers stability solutions a coupled system fractional differential equations with Erdélyi–Kober Riemann–Liouville integral boundary conditions. Banach fixed point theorem used prove uniqueness solutions, while Leray–Schauder alternative existence solutions. Furthermore, we conclude that solution discussed problem Hyer...

Journal: :international journal of nonlinear analysis and applications 2013
s. zolfaghari a. ebadian s. ostadbashi m. de la sen m. eshaghi gordji

in this paper, we prove the hyers-ulam stability in$beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+frac{2(k+1)}{k}f(ky)-2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$

Journal: :Appl. Math. Lett. 2003
M. Das Thomas Riedel Prasanna K. Sahoo

K e y w o r d s H y e r s U l a m stability, Flett mean value theorem, Flett's point. 1. I N T R O D U C T I O N In 1968, Ulam [1] proposed the general problem: "When is it t rue tha t by changing a l i t t le the hypotheses of a theorem one can still assert t ha t the thesis of the theorem remains t rue or approx imate ly t rue?" In 1978, Gruber [2] proposed the following Ulam type problem: "S...

2011
A. Rahimi A. Najati Shusen Ding

The question concerning the stability of group homomorphisms was posed by Ulam 1 . Hyers 2 solved the case of approximately additive mappings on Banach spaces. Aoki 3 provided a generalization of the Hyers’ theorem for additive mappings. In 4 , Rassias generalized the result of Hyers for linear mappings by allowing the Cauchy difference to be unbounded see also 5 . The result of Rassias has bee...

A. Ebadian M.A. Abolfathi R. Aghalary

In this paper, we investigate the Hyers-Ulam stability for the system of additive, quadratic, cubicand quartic functional equations with constants coecients in the sense of dectic mappings in non-Archimedean normed spaces.

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