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Interplay between particle trap** and heterogeneity in anomalous diffusion
Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean squared...
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Analytical solution of the steady-state atmospheric fractional diffusion equation in a finite domain
In this work, an analytical solution for the steady-state fractional advection-diffusion equation was investigated to simulate the dispersion of air...
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Complex dynamics in the two spring-block model for earthquakes with fractional viscous dam**
Fractional calculus is suitable to model complex systems with memory and fractal systems. Earthquakes are both complex systems with long-memory and...
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Transport Equation for Subdiffusion of Mixed Origin
AbstractThe transport equation is proposed for the model, which is a combination of the random barrier model and the multiple trap** model....
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Asymmetric space–time correlated continuous-time random walk
AbstractIn this manuscript, we present an asymmetric space–time correlated continuous-time random walk model. The waiting time distribution is...
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Explicit Time-Dependent Entropy Production Expressions: Fractional and Fractal Pesin Relations
In this contribution, we present for the first time, explicit expressions for time-dependent entropy production, in the classical context. Here, we...
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Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman–Kac Approach
We derive, through subordination techniques, a generalized Feynman–Kac equation in the form of a time fractional Schrödinger equation. We relate such...
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Imprecisely defined fractional-order Fokker–Planck equation subjected to fuzzy uncertainty
Fokker–Planck equation with interval and fuzzy uncertainty has been considered in this paper. Also the derivatives involved with respect to time and...
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Diffusion: Membrane Permeability and the Rate of Actin Polymerization
This chapter shows that diffusive flow from a high concentration to a low concentration is an emergent behavior of many particles, resulting from...
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Supervised stochastic Levenberg–Marquardt intelligent netwoks for dynamics of convective Eyring–Powell magneto-nanofluid model
The presented work examines the dynamics of convective Eyring–Powell magneto-nanofluid model (CEP-MNFM) with a stretching cylinder by using...
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Entanglement witness and linear entropy in an open system influenced by FG noise
We investigate the behavior of tripartite entanglement and entropy disorder in three non-interacting qubits that are first prepared in a mixture...
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Confinement effect on diffusion dynamics in active viscoelastic environments
AbstractUnderstanding the diffusion dynamics of active particles experiencing external potential in viscoelastic environments is key to understanding...
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On fractional approximations of the Fokker–Planck equation for energetic particle transport
To determine the main effects of anomalous diffusion upon the propagation of energetic particles, the fractional modified telegraph equation is...
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Correlation Function of a Random Scalar Field Evolving with a Rapidly Fluctuating Gaussian Process
We consider a scalar field governed by an advection–diffusion equation (or a more general evolution equation) with rapidly fluctuating, Gaussian...
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Comparative Study of Dusty Tetra Hybrid Casson Nanofluid Flowing in a Generalized Two-Phase MHD Medium Between Parallel Microplates with a Porous Medium
Exploring dusty tetra hybrid Casson nanofluid flow in a two-phase MHD medium as opposed to a porous medium will help improve cooling systems for...
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Soliton solutions of nonlinear stochastic Fitz-Hugh Nagumo equation
This study deals with the stochastic Fitz-Hugh Nagumo (FHN) equation and its multiple soliton solutions. The underlying model has numerous...
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Extracting Governing Laws from Sample Path Data of Non-Gaussian Stochastic Dynamical Systems
Advances in data science are leading to new progresses in the analysis and understanding of complex dynamics for systems with experimental and...
