Results 21 to 30 of about 1,340 (226)

On qualitative analysis of a fractional hybrid Langevin differential equation with novel boundary conditions

Boundary Value Problems
A hybrid system interacts with the discrete and continuous dynamics of a physical dynamical system. The notion of a hybrid system gives embedded control systems a great advantage.
Gohar Ali, Rahman Ullah Khan, Kamran, Ahmad Aloqaily, Nabil Mlaiki   +4 more
doaj   +2 more sources

Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses

Advances in Difference Equations, 2019
In this paper, we consider a nonlocal boundary value problem of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. We study the existence, uniqueness and generalized Ulam–Hyers–Rassias stability of the proposed model with the
Rizwan Rizwan, Akbar Zada, Xiaoming Wang
doaj   +2 more sources

Multi-Strip and Multi-Point Boundary Conditions for Fractional Langevin Equation

Fractal and Fractional, 2020
In the present paper, we discuss a new boundary value problem for the nonlinear Langevin equation involving two distinct fractional derivative orders with multi-point and multi-nonlocal integral conditions.
Ahmed Salem, Balqees Alghamdi
doaj   +2 more sources

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   +2 more sources

Foundation of fractional Langevin equation: Harmonization of a many-body problem [PDF]

Physical Review E, 2010
8 pages, 2 figures, REVTeX, revised with 4 appendices added, to appear in Physical Review E.
Lizana Ludvig, Ambjornsson Tobias, Taloni Alessandro, Barkai Eli, Lomholt Michael A   +4 more
openaire   +5 more sources

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
doaj   +2 more sources

On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders

Advances in Difference Equations, 2019
In this paper we develop the existence theory for a nonlinear Langevin equation involving Caputo fractional derivatives of different orders and Riemann–Liouville fractional integral supplemented with nonlocal multi-point and multi-strip boundary ...
Bashir Ahmad, Ahmed Alsaedi, Sara Salem
doaj   +2 more sources

Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative

Boundary Value Problems
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ-Caputo fractional derivative with a modified argument. We prove the uniqueness of the solution using the Banach
Hacen Serrai, Brahim Tellab, Sina Etemad, İbrahim Avcı, Shahram Rezapour   +4 more
doaj   +2 more sources

Multi-Point and Anti-Periodic Conditions for Generalized Langevin Equation with Two Fractional Orders

Fractal and Fractional, 2019
With anti-periodic and a new class of multi-point boundary conditions, we investigate, in this paper, the existence and uniqueness of solutions for the Langevin equation that has Caputo fractional derivatives of two different orders.
Ahmed Salem, Balqees Alghamdi
doaj   +2 more sources

Fractional Langevin equations of distributed order [PDF]

Physical Review E, 2011
10 pages, 2 ...
Eab, C. H., Lim, S. C.
openaire   +3 more sources