Results 21 to 30 of about 3,276 (83)

On the stability of J$^*-$derivations

, 2009
In this paper, we establish the stability and superstability of $J^*-$derivations in $J^*-$algebras for the generalized Jensen--type functional equation $$rf(\frac{x+y}{r})+rf(\frac{x-y}{r})= 2f(x).$$ Finally, we investigate the stability of $J ...
A. Ebadian, Czerwik, Cădariu, Cădariu, Cădariu, Cădariu, Elin, Harris, Harris, Hyers, Hyers, Hyers, Jung, M. Eshaghi Gordji, M.B. Ghaemi, Moslehian, Park, Park, Park, Park, Radu, Rassias, Rassias, S. Kaboli Gharetapeh, S. Shams, Ulam   +25 more
core   +2 more sources

Stability of the Volterra Integrodifferential Equation [PDF]

, 2013
In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space ...
Janfada, Mohammad, Sadeghi, Gh.
core  

Some results on a nonlinear fractional equation with nonlocal boundary condition

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13581-13600, December 2024.
The aim of this paper is to derive sufficient conditions for the existence, uniqueness, and Hyers–Ulam stability of solutions to a new nonlinear fractional integro‐differential equation with functional boundary conditions, using several fixed‐point theorems, the multivariate Mittag‐Leffler function and Babenko's approach.
Chenkuan Li, Reza Saadati, Joshua Beaudin, Elisha Tariq, McKayla Brading   +4 more
wiley   +1 more source

Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this work, we present a new concept of additive‐Jensen s‐functional equations, where s is a constant complex number with |s| < 1, and solve them as two classes of additive functions. We then indicate that they are C‐linear mappings on Lie algebras. Following this, we define generalized Lie bracket derivations between Lie algebras.
Vahid Keshavarz, Mohammad Taghi Heydari, Erhan Güler   +2 more
wiley   +1 more source

On stability for nonlinear implicit fractional differential equations [PDF]

, 2015
The purpose of this paper is to establish some  types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Benchohra, Mouffak, Lazreg, Jamal E.
core   +2 more sources

Study of Hybrid Problems under Exponential Type Fractional‐Order Derivatives

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this investigation, we develop a theory for the hybrid boundary value problem for fractional differential equations subject to three‐point boundary conditions, including the antiperiodic hybrid boundary condition. On suggested problems, the third‐order Caputo–Fabrizio derivative is the fractional operator applied.
Mohammed S. Abdo, Sahar Ahmed Idris, M. Daher Albalwi, Tomadir Ahmed Idris, Ming-Sheng Liu   +4 more
wiley   +1 more source

Fractional Stochastic Van der Pol Oscillator with Piecewise Derivatives

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This work investigates piecewise Vand der Pol oscillator under the arbitrary order, piecewise derivatives, and power nonlinearities to present a novel idea of piecewise systems using the classical‐power‐law randomness and classical Mittag–Leffler‐law‐randomness.
Atul Kumar, Khursheed Alam, Mati ur Rahman, Homan Emadifar, Geeta Arora, Ahmed A. Hamoud, Gaetano Luciano   +6 more
wiley   +1 more source

Global Stability with Lyapunov Function and Dynamics of SEIR‐Modified Lassa Fever Model in Sight Power Law Kernel

Complexity, Volume 2024, Issue 1, 2024.
Lassa fever is an acute viral hemorrhagic disease that affects humans and is endemic in various West African nations. In this study, a fractional‐order model is constructed using the Caputo operator for SEIR‐type Lassa fever transmission, including the control strategy.
Muhammad Farman, Cicik Alfiniyah, Muhammad Saqib, Hiroki Sayama   +3 more
wiley   +1 more source

The Sequential Conformable Langevin‐Type Differential Equations and Their Applications to the RLC Electric Circuit Problems

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this paper, the sequential conformable Langevin‐type differential equation is studied. A representation of a solution consisting of the newly defined conformable bivariate Mittag‐Leffler function to its nonhomogeneous and linear version is obtained via the conformable Laplace transforms’ technique. Also, existence and uniqueness of a global solution
M. Aydin, N. I. Mahmudov, Waleed Adel
wiley   +1 more source

Technique of Tripled Fixed Point Results on Orthogonal G‐Metric Spaces

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this article, we introduce a novel concept of orthogonal nonlinear contraction and establish some tripled fixed point theorems for this class of contractions in the framework of an orthogonal complete G‐metric space. An appropriate example demonstrates the validity of the main results, highlighting the advantages of the comparable literature.
Arul Joseph Gnanaprakasam, Gunaseelan Mani, Santosh Kumar, Qiankun Song   +3 more
wiley   +1 more source