Results 101 to 110 of about 7,018 (204)

Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach

open access: yesFixed Point Theory and Applications, 2008
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak
Jong Su An, Choonkil Park
doaj   +1 more source

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

open access: yesFixed 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   +4 more
doaj   +1 more source

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

open access: yesPartial 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

open access: yesJournal 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  

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

open access: yesBoundary 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   +4 more
doaj   +1 more source

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

open access: yesBoundary 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   +4 more
doaj   +1 more source

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