Results 111 to 120 of about 9,437 (210)

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

Existence of solution for a Langevin equation involving the $ \psi $-Hilfer fractional derivative: A variational approach

AIMS Mathematics
This study examines the existence of a solution for a nonvariational Langevin equation that involves the $ \psi $-Hilfer fractional derivative. More specifically, we apply the mountain pass theorem, and then an iterative approach to establish the ...
Lamya Almaghamsi, Aeshah Alghamdi, Abdeljabbar Ghanmi   +2 more
doaj   +1 more source

Describing neutron spin echo data from undulating lipid vesicles: recent advances

Journal of Applied Crystallography, Volume 59, Issue 1, Page 152-162, February 2026.
We present results and practical considerations for the analysis of neutron spin echo data from vesicles with undulating membranes using a framework that was recently published [Granek et al. (2024). Eur. Phys. J. E47, 12]. We show the importance of vesicle diffusion, size, lamellarity and osmotic pressure as well as the effects of membrane viscosity ...
Ingo Hoffmann, Elizabeth G. Kelley, Michihiro Nagao, Petia Vlahovska, Rony Granek   +4 more
wiley   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

Overdamped fractional Langevin equation and its stochastic resonance

Acta Physica Sinica, 2012
By choosing an appropriate damping kernel function of generalized Langevin equation, fractional Langevin equation (FLE) is derived in the case of overdamped condition. With the theory of anomalous diffusion and the memory of fractional derivatives, the physical meaning of FLE is discussed.
null Gao Shi-Long, null Zhong Su-Chuan, null Wei Kun, null Ma Hong   +3 more
openaire   +1 more source

V-Langevin equations, continuous time random walks and fractional diffusion [PDF]

Chaos, Solitons & Fractals, 2007
The following question is addressed: under what conditions can a strange diffusive process, defined by a semi-dynamical V-Langevin equation or its associated Hybrid kinetic equation (HKE), be described by an equivalent purely stochastic process, defined by a Continuous Time Random Walk (CTRW) or by a Fractional Differential Equation (FDE)?
openaire   +3 more sources

Analytic Solutions for Hilfer Type Fractional Langevin Equations with Variable Coefficients in a Weighted Space

Axioms
In this work, analytic solutions of initial value problems for fractional Langevin equations involving Hilfer fractional derivatives and variable coefficients are studied.
Fang Li, Ling Yang, Huiwen Wang
doaj   +1 more source

EXISTENCE RESULTS OF SOLUTIONS FOR ANTI-PERIODIC FRACTIONAL LANGEVIN EQUATION

Journal of Applied Analysis & Computation, 2020
In this paper, the author studies the existence and uniqueness results of a fractional Langevin equation with anti-periodic and nonlocal integral boundary conditions. By means of the technique of the Green's function, the existence and uniqueness of solution is proved by the Banach fixed point theorem, and the existence of at least one positive ...
openaire   +2 more sources

A Class of Implicit Fractional $\psi$-Hilfer Langevin Equation with Time Delay and Impulse in the Weighted Space

Communications in Advanced Mathematical Sciences
In this paper, the Ulam-Hyers-Rassias stability is discussed and the existence and uniqueness of solutions for a class of implicit fractional $\psi$-Hilfer Langevin equation with impulse and time delay are investigated.
Hamid Lmou, Khalid Hilal, Ahmed Kajounı, Ayoub Louakar   +3 more
doaj   +1 more source

Existence results for Langevin equations involving generalized Liouville–Caputo fractional derivatives with non-local boundary conditions

Alexandria Engineering Journal
The main objective of the present paper is to establish the existence and uniqueness (EU) results for nonlinear fractional Langevin equation involving Liouville-Caputo generalized fractional derivative (GFD) of different order with non-local boundary ...
Sombir Dhaniya, Anoop Kumar, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source