Results 11 to 20 of about 4,926 (172)

Fractional Order Pseudoparabolic Partial Differential Equation: Ulam–Hyers Stability [PDF]

Bulletin of the Brazilian Mathematical Society, New Series, 2018
15 ...
Sousa, J. Vanterler da C., de Oliveira, E. Capelas   +1 more
openaire   +5 more sources

Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation

Applied Mathematics Letters, 2018
Using the $ -$Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integral-differential equation by means of fixed-point method.
J. Vanterler da C. Sousa, E. Capelas de Oliveira   +1 more
openaire   +4 more sources

Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2021
In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon, Weerawat Sudsutad, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

Advances in Difference Equations, 2020
Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo, Akbar Zada, Shaleena Shaleena, Manzoor Ahmad   +3 more
doaj   +1 more source

Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods

Journal of Function Spaces, 2021
The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via ...
Abdellatif Ben Makhlouf, Lassaad Mchiri, Mohamed Rhaima   +2 more
doaj   +1 more source

Условия Hyers—Ulam—Rassias-устойчивости семейств уравнений [PDF]

, 2017
Для семейства регуляризованных уравнений и семейства уравнений с причинным оператором получены достаточные условия Hyers—Ulam—Rassias-устойчивости.Для сімейства регуляризованих рівнянь і сімейства рівнянь з причинним оператором отримано достатні умови ...
Мартынюк, А.А.
core   +1 more source

Ulam-Hyers Stability for Operatorial Equations

Annals of the Alexandru Ioan Cuza University - Mathematics, 2011
Let \((X,d)\) be a metric space, \(\mathcal P(X):=\{Y\subset X\}\), \(P(X):=\{Y\in\mathcal P(X):Y\neq\emptyset\}\), \(D_d:P(X)\times P(X)\to\mathbb R_+\) the gap functional, given by \[ D_d(A,B)=\inf\left\{d(a,b):a\in A,\,b\in B\right\}, \] and let \(F:X\to P(X)\) be a multivalued operator.
Bota-Boriceanu, M. F., Petruşel, A.
openaire   +2 more sources

Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

Advances in Difference Equations, 2019
In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Stability of a functional equation deriving from cubic and quartic functions [PDF]

, 2008
In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A., Gordji, M. Eshaghi, Zolfaghari, S.   +2 more
core   +3 more sources

Ulam-Hyers Stability of Trigonometric Functional Equation with Involution [PDF]

Journal of Function Spaces, 2015
LetSandGbe a commutative semigroup and a commutative group, respectively,CandR+the sets of complex numbers and nonnegative real numbers, respectively, andσ:S→Sorσ:G→Gan involution. In this paper, we first investigate general solutions of the functional equationf(x+σy)=f(x)g(y)-g(x)f(y)for allx,y∈S, wheref,g:S→C.
Jaeyoung Chung, Chang-Kwon Choi, Jongjin Kim   +2 more
openaire   +3 more sources