Results 141 to 150 of about 7,083 (231)

A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

Journal of Mathematical Analysis and Applications, 1994
The author proves a generalization of the stability of approximately additive mappings in the spirit of Hyers, Ulam and Rassias.
openaire   +2 more sources

Existence and stability results for a coupled multi-term Caputo fractional differential equations

Fixed Point Theory and Algorithms for Sciences and Engineering
In this article, we explore a new class of nonlocal boundary value problems defined by coupled multi-term delay Caputo fractional differential equations along with a multipoint-integral boundary problem.
Gunaseelan Mani, Purushothaman Ganesh, Pandiarajan Ramasamy, Sarah Aljohani, Nabil Mlaiki   +4 more
doaj   +1 more source

Some novel existence and stability results for a nonlinear implicit fractional differential equation with non-local boundary conditions

Partial Differential Equations in Applied Mathematics
This paper investigates nonlinear implicit fractional differential equations involving Hilfer-Katugampola fractional derivatives. Novel techniques are developed to establish the existence and uniqueness of solutions for the proposed problem using fixed ...
Rahman Ullah Khan, Ioan-Lucian Popa
doaj   +1 more source

On the Stability of a Cubic Functional Equation in Random Normed Spaces

Journal of Mathematical Extension, 2009
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj  

Generalized ulam-hyers stability of C*-Ternary algebra n-Homomorphisms for a functional equation [PDF]

, 2011
Won-Gil Park, Jae-Hyeong Bae
openalex   +1 more source

Existence, uniqueness and stability analysis for a f $\mathfrak{f}$ -Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions

Boundary Value Problems
This paper aims to examine the existence, uniqueness, and stability properties of a novel category of f $\mathfrak{f}$ -Caputo generalized proportional differential equations characterized by two distinct fractional orders. We explore and discuss various
Hamid Lmou, Samira Zerbib, Sina Etemad, İbrahim Avcı, Raaid Alubady   +4 more
doaj   +1 more source

A generalization of Hyers-Ulam stability on $m$-semigroups [PDF]

Miskolc Mathematical Notes, 2015
Adina Pop, Maria S. Pop
openaire   +1 more source

Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative

Boundary Value Problems
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ-Caputo fractional derivative with a modified argument. We prove the uniqueness of the solution using the Banach
Hacen Serrai, Brahim Tellab, Sina Etemad, İbrahim Avcı, Shahram Rezapour   +4 more
doaj   +1 more source

Hyers-Ulam stability of a generalized additive set-valued functional equation [PDF]

, 2013
Sun Young Jang, Choonkil Park, Young Cho
openalex   +1 more source

Generalized Hyers-Ulam stability of diffusion equation in the n-dimensional Euclidean space, Rn

Applied Mathematics Letters, 2020
Dongseung Kang, Hoewoon B. Kim
semanticscholar   +1 more source