On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations
International Journal of Analysis and Applications, 2023 The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to ...
Savita Rathee, Yogeeta Narwal
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From the Underdamped Generalized Elastic Model to the Single Particle Langevin Description
Mathematics, 2017 The generalized elastic model encompasses several linear stochastic models describing the dynamics of polymers, membranes, rough surfaces, and fluctuating interfaces.
Alessandro Taloni
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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 +3 more
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Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems [PDF]
, 2021 We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed
Choukri Derbazi +3 more
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Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations [PDF]
, 2014 summary:In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear ...
Wang, Jin Rong +2 more
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Langevin Equations with Generalized Proportional Hadamard–Caputo Fractional Derivative [PDF]
Computational Intelligence and Neuroscience, 2021 We look at fractional Langevin equations (FLEs) with generalized proportional Hadamard–Caputo derivative of different orders. Moreover, nonlocal integrals and nonperiodic boundary conditions are considered in this paper. For the proposed equations, the Hyres–Ulam (HU) stability, existence, and uniqueness (EU) of the solution are defined and ...
Mohamed A. Barakat +2 more
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On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator [PDF]
, 2015 The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag-Leffler noise.
Vaz, J, de Oliveira, EC, Camargo, RF
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On Fractional Langevin Equations with Stieltjes Integral Conditions
Mathematics, 2022 In this paper, we focus on the study of the implicit FDE involving Stieltjes integral boundary conditions. We first exploit some sufficient conditions to guarantee the existence and uniqueness of solutions for the above problems based on the Banach contraction principle and Schaefer’s fixed point theorem.
Binlin Zhang, Rafia Majeed, Mehboob Alam
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Existence results for Langevin equation with Riesz-Caputo fractional derivative [PDF]
Surveys in Mathematics and its Applications, 2022 In this paper, we examine existence and uniqueness of solutions for nonlinear Langevin equation involving Riesz-Caputo fractional derivatives, with a class of anti-periodic boundary conditions.
Naas Adjimi, Maamar Benbachir
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Journal of Applied Mathematics, 2013 We study a boundary value problem for fractional equations involving two fractional orders. By means of a fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations.
Jing Zhao, Peifen Lu, Yiliang Liu
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