Results 1 to 10 of about 1,026 (157)

On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation [PDF]

Advances in Mathematical Physics, 2020
In this work, we give sufficient conditions to investigate the existence and uniqueness of solution to fractional-order Langevin equation involving two distinct fractional orders with unprecedented conditions (three-point boundary conditions including ...
Ahmed Salem, Noorah Mshary
doaj   +3 more sources

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, HongGuang Sun, Juan J. Nieto   +2 more
doaj   +3 more sources

SOLVABILITY FOR IMPULSIVE FRACTIONAL LANGEVIN EQUATION

Journal of Applied Analysis and Computation, 2020
Summary: We investigate impulsive fractional Langevin equation involving two fractional Caputo derivatives with boundary value conditions. By Banach contraction mapping principle and Krasnoselskii's fixed point theorem, some results on the existence and uniqueness of solution are obtained.
Shurong Sun, Zhenlai Han
exaly   +2 more sources

Measure of Noncompactness for Hybrid Langevin Fractional Differential Equations [PDF]

Axioms, 2020
In this research article, we introduce a new class of hybrid Langevin equation involving two distinct fractional order derivatives in the Caputo sense and Riemann–Liouville fractional integral. Supported by three-point boundary conditions, we discuss the
Ahmed Salem, Mohammad Alnegga
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The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral

Mathematics, 2019
In this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary ...
Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi, Hari M. Srivastava, Sotiris K. Ntouyas   +4 more
doaj   +3 more sources

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
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On a Nonlinear Fractional Langevin Equation of Two Fractional Orders with a Multiplicative Noise

Fractal and Fractional, 2022
We consider a stochastic nonlinear fractional Langevin equation of two fractional orders Dβ(Dα+γ)ψ(t)=λϑ(t,ψ(t))w˙(t),01 and α+β>1 for some positive constants c1,c3 and c4.
McSylvester Ejighikeme Omaba, Eze R. Nwaeze   +1 more
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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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Stability of a Nonlinear ML-Nonsingular Kernel Fractional Langevin System with Distributed Lags and Integral Control

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
doaj   +1 more source

Existence, Stability and Simulation of a Class of Nonlinear Fractional Langevin Equations Involving Nonsingular Mittag–Leffler Kernel

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
doaj   +1 more source