Results 61 to 70 of about 104,225 (211)
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 +4 more
wiley +1 more source
Hyers- Ulam Rassias Stability of multiplicative Cauchy equation [PDF]
, 2015 The aim of this paper is to prove the stability of multiplicative equation in sprit of Hyers- Ulam- Rassias. Keywords . Hyers- Ulam Rassias Stability, multiplicative equation AMS Subject Classification (1991).
Shrivastava, Kavita
core +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 +2 more
wiley +1 more source
Note on the solution of random differential equations via ψ-Hilfer fractional derivative
Advances in Difference Equations, 2018 This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan +3 more
doaj +1 more source
Stability and the Evolvability of Function in a Model Protein [PDF]
Biophysical Journal, 86:2758-2764 (2004), 2004 Functional proteins must fold with some minimal stability to a structure that can perform a biochemical task. Here we use a simple model to investigate the relationship between the stability requirement and the capacity of a protein to evolve the function of binding to a ligand.
arxiv +1 more source
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 +4 more
wiley +1 more source
Hyers- Ulam Rassias Stability of Exponential Primitive Mapping [PDF]
, 2013 The aim of this paper is to prove the stability of Exponential Primitive Mapping in sprit of Hyers- Ulam- Rassias. Keywords . Hyers- Ulam Rassias Stability, Exponential Primitive Mapping. AMS Subject Classification (1991).
Shrivastava, Kavita
core +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 +6 more
wiley +1 more source
Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
doaj +1 more source
Stability of non compact steady and expanding gradient Ricci solitons [PDF]
arXiv, 2014 We study the stability of non compact steady and expanding gradient Ricci solitons. We first show that strict linear stability implies dynamical stability. Then we give various sufficient geometric conditions ensuring the strict linear stability of such gradient Ricci solitons.
arxiv