Results 1 to 10 of about 9,361 (140)
Non-Linear Langevin and Fractional Fokker–Planck Equations for Anomalous Diffusion by Lévy Stable Processes [PDF]
Entropy, 2018 The numerical solutions to a non-linear Fractional Fokker–Planck (FFP) equation are studied estimating the generalized diffusion coefficients. The aim is to model anomalous diffusion using an FFP description with fractional velocity derivatives and
Johan Anderson, Sara Moradi, Tariq Rafiq
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Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions [PDF]
Boundary Value Problems, 2011 We study a boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii's fixed point theorem are applied to establish the existence results.
Chen Yi, Chen Anping
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On a fractional differential equation with fractional boundary conditions [PDF]
Mathematics and Computational Sciences, 2023 In this article, we study a new nonlinear Langevin equation of two fractional orders with fractional boundary value conditions which is a generalization of previous Langevin equations.
Yasser Khalili, Milad Yadollahzadeh
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Axioms, 2022 The fractional Langevin equation has more advantages than its classical equation in representing the random motion of Brownian particles in complex viscoelastic fluid.
Kaihong Zhao
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Fractal and Fractional, 2022 The fractional Langevin equation is a very effective mathematical model for depicting the random motion of particles in complex viscous elastic liquids. This manuscript is mainly concerned with a class of nonlinear fractional Langevin equations involving
Kaihong Zhao
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q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions
Mathematics, 2023 The major goal of this manuscript is to investigate the existence, uniqueness, and stability of a q-fractional Langevin differential equation with q-fractional integral conditions.
Wuyang Wang +4 more
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On a generalization of fractional Langevin equation with boundary conditions
AIMS Mathematics, 2022 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 the results of the fixed point theory.
Zheng Kou, Saeed Kosari
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On the new fractional configurations of integro-differential Langevin boundary value problems
Alexandria Engineering Journal, 2021 In this paper, we present the existence criteria for the solutions of boundary value problems involving generalized fractional integro-Langevin equation and inclusion supplemented with nonlocal fractional boundary conditions. The main idea of the current
Shahram Rezapour +2 more
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AIMS Mathematics, 2021 In this manuscript, we consider a class of nonlinear Langevin equations involving two different fractional orders in the frame of Caputo fractional derivative with respect to another monotonic function ϑ with antiperiodic boundary conditions.
Abdelatif Boutiara +3 more
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Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited
Mathematics, 2020 We consider the nonlinear fractional Langevin equation involving two fractional orders with initial conditions. Using some basic properties of Prabhakar integral operator, we find an equivalent Volterra integral equation with two parameter Mittag–Leffler
Hossein Fazli +2 more
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