Results 61 to 70 of about 9,437 (210)

On a generalization of fractional Langevin equation

, 2020
In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.
Kosari, Saeed, Yadollahzadeh, Milad, Shao, Zehui, Rao, Yongsheng   +3 more
openaire   +2 more sources

Lyapunov-type inequalities for fractional Langevin differential equations

Journal of Mathematical Inequalities, 2023
This paper establishes some new Lyapunov-type inequalities for fractional Langevin equations with two classes of two-point boundary conditions. Some related results in the literature are generalized.
Laadjal, Zaid, Ma, Qinghua
openaire   +2 more sources

Stability analysis of a class of Langevin equations in the frame of generalized Caputo fractional operator with nonlocal boundary conditions

Boundary Value Problems
The main objective of the present paper is to establish the existence and uniqueness of solutions for the fractional Langevin equation involving the ϕ-Caputo fractional operator with nonlocal boundary conditions.
Sombir Dhaniya, Anoop Kumar, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source

Existence Theory for a Class of Nonlinear Langevin Fractional (p,q)-Difference Equations in Banach Space

Mathematics
This paper is devoted to the study of existence results for a nonlinear Langevin-type fractional (p,q)-difference equation in Banach space. The considered model extends the fractional q-difference Langevin equation by introducing two parameters p and q ...
Mouataz Billah Mesmouli, Loredana Florentina Iambor, Taher S. Hassan   +2 more
doaj   +1 more source

Steady-State L\'evy Flights in a Confined Domain

, 2008
We derive the generalized Fokker-Planck equation associated with a Langevin equation driven by arbitrary additive white noise. We apply our result to study the distribution of symmetric and asymmetric L\'{e}vy flights in an infinitely deep potential well.
A. Dubkov, A. V. Chechkin, B. V. Gnedenko, F. Bardou, H. Bateman, H. Risken, N. G. Van Kampen, P. Hänggi, P. Langevin, Peter Hänggi, S. G. Samko, S. I. Denisov, V. M. Zolotarev, W. Horsthemke, W. T. Coffey, Werner Horsthemke   +15 more
core   +1 more source

Inhibition of SLC11A1‐Mediated Lysosomal Iron Accumulation in Microglia Promotes Repair Following White Matter Stroke

Advanced Science, EarlyView.
Genetic and pharmacological inhibition of SLC11A1 functioning as an H+/Fe2+ antiporter–mediated lysosomal iron accumulation in microglia promotes lysosomal lumen acidification, increases CTSD expression, enhances lysosomal myelin debris uptake and degradation, and promotes repair following white matter stroke. ABSTRACT White matter stroke (WMS) results
Lingling Qiu, Yajie Zhang, Yushi Tang, Hongli Hu, Ying Zhang, Junwen Xue, Hao Wang, Yecheng Wang, Chunfeng Liu, Jia Jia, Jian Cheng, Yongjun Cao   +11 more
wiley   +1 more source

Numerical simulation of the fractional Langevin equation

Thermal Science, 2012
In this paper, we study the fractional Langevin equation, whose derivative is in Caputo sense. By using the derived numerical algorithm, we obtain the displacement and the mean square displacement which describe the dynamic behaviors of the fractional Langevin equation.
Guo, Peng, Li, Changpin, Zeng, Fanhai
openaire   +2 more sources

Existence, uniqueness and Ulam's stabilities for a class of implicit impulsive Langevin equation with Hilfer fractional derivatives

AIMS Mathematics, 2021
In this manuscript, a class of implicit impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness,
Xiaoming Wang, Rizwan Rizwan , Jung Rey Lee, Akbar Zada , Syed Omar Shah   +4 more
doaj   +1 more source

Dilute but Dense – Reversible Crosslinking Enables Water‐Rich (Bio)polymer Condensates

Advanced Science, EarlyView.
Reversible crosslinking between two types of (bio)polymers drives liquid–liquid phase separation even in good solvent. The arrangement of binding motifs controls condensate formation and density, and internal network structure. Simulations and theory reveal a closed‐loop coexistence phase diagram at very low monomer concentrations and re‐entrant ...
Xinxiang Chen, Jude Ann Vishnu, Pol Besenius, Julian König, Friederike Schmid   +4 more
wiley   +1 more source

Existence of solution for fractional Langevin equation: Variational approach

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We consider the Dirichlet problem for the fractional Langevin equation with two fractional order derivatives \begin{align*} -{_{0}}D_{t}^{\alpha}(_{0}D_{t}^{\alpha}u(t)) &= f(t,u(t), {_{0}}D_{t}^{\alpha}u(t)), \quad t\in [0,1],\\ u(0) &= u(1) = 0 ...
César Torres Ledesma
doaj   +1 more source