Results 61 to 70 of about 9,426 (207)

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

Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators

Mathematics, 2020
A new form of nonlinear Langevin equation (NLE), featuring two derivatives of non-integer orders, is studied in this research. An existence conclusion due to the nonlinear alternative of Leray-Schauder type (LSN) for the solution is offered first and ...
Dumitru Baleanu, Rahmat Darzi, Bahram Agheli   +2 more
doaj   +1 more source

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

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

Advanced Science, EarlyView.
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio, Tommaso Gili, Andrea Gabrielli, Maurizio Mattia   +3 more
wiley   +1 more source

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

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

Anomalous diffusion for overdamped particles driven by cross-correlated white noise sources [PDF]

, 2006
We study the statistical properties of overdamped particles driven by two cross-correlated multiplicative Gaussian white noises in a time-dependent environment. Using the Langevin and Fokker-Planck approaches, we derive the exact probability distribution
A. N. Vitrenko, A. P. Prudnikov, C. W. Gardiner, D. ben-Avraham, D. J. Wu, J. Łuczka, N. G. Van Kampen, P. Hänggi, P. Hänggi, R. Hilfer, S. I. Denisov, W. Horsthemke, W. Horsthemke   +12 more
core   +2 more sources

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

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