Results 91 to 100 of about 2,398,627 (204)

Mittag-leffler-hyers-ulam stability of prabhakar fractional integral equation

open access: yes, 2021
In this paper, we define and investigate Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of Prabhakar fractional integral equation. © 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications.
Eghbali, N.   +2 more
core  

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

open access: yes, 2022
We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle.
Francisco Martínez   +7 more
core   +1 more source

Monotone iterative techniques together with Hyers‐Ulam‐Rassias stability

open access: yesMathematical Methods in the Applied Sciences, 2019
In this article, the first purpose is treating a coupled system of nonlinear boundary value problems (BVPs) of fractional‐order differential equations (FODEs) for existence of solutions. The corresponding fractional‐order derivative is taken in Riemann‐Liouville sense. The require results for iterative solutions are obtained by using monotone iterative
Kamal Shah   +4 more
openaire   +3 more sources

Coupled Fractional Volterra Integral Equations With Fuzzy Operators in ∗‐Fuzzy Measure Spaces: Stability Analysis and Hamacher ∗‐Fuzzy Numerical Approximation

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we study a coupled system of fractional Volterra integral equations in the ∗‐fuzzy measure spaces that are equipped with an Archimedean triangular norm and a ∗‐fuzzy integral. Setting a Lipschitz condition on the nonlinear kernels, defining a suitable ∗‐fuzzy control function, and applying the alternative fixed‐point method, we obtain ...
Mahdis Yazdani Gharehaghaj   +3 more
wiley   +1 more source

Generalized approximation Hyers-Ulam-Rassias type stability of generalized homomorphisms in quasi-Banach algebras

open access: yes, 2022
In this paper, we study to solve the Hyers-Ulam-Rassias stability of generalized homomorphisms in quasi-Banach algebras, associated with Jensen-type additive functional equation with 2k-variables.
LY VAN AN
core   +1 more source

Ulam-Hyers-Rassias stability for fuzzy fractional integral equations

open access: yes, 2020
In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique. © 2020, University of Sistan and Baluchestan.
Rassias, J.M., Van Hoa, N., Vu, H.
core   +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  

An Analytical Study of Variable‐Coefficient Boundary Value Problems With Generalized Tempered Fractional Operators

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate a class of nonlinear tempered fractional boundary value problems (BVPs) with a generalized Caputo‐type derivative with respect to a kernel function. The problem includes variable coefficients, a nonlinear term depending on lower‐order derivatives, a tempered fractional integral term, and a nonlocal multipoint integral ...
Jabr Aljedani, Smritijit Sen
wiley   +1 more source

Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras

open access: yesBulletin des Sciences Mathématiques, 2008
The author investigates the Hyers-Ulam stability problem of homomorphisms between quasi-Banach algebras. According to the main results, under suitable requirements, an ``approximate'' homomorphism of a quasi-Banach algebra is ``close'' to a homomorphism; moreover, similarly to the classical case, the homomorphism is generated by the Hyers-iteration. As
openaire   +2 more sources

Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati   +4 more
wiley   +1 more source

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