Riemann–Liouville and Weyl fractional oscillator processes
Two types of oscillator processes can be obtained as solutions to fractional Langevin equation based on Riemann-Liouville and Weyl fractional integro-differential operators. The relation between these fractional oscillator processes and the corresponding fractional Brownian motion is considered. Gen...
| Main Authors: | Lim, S. C., Eab, Chai Hok |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier Science
2006
|
| Subjects: | |
| Online Access: | http://shdl.mmu.edu.my/1953/ http://shdl.mmu.edu.my/1953/1/Riemann%E2%80%93Liouville%20and%20Weyl%20fractional%20oscillator%20processes.pdf |
Similar Items
Weyl and Riemann–Liouville multifractional Ornstein–Uhlenbeck processes
by: Lim, S C, et al.
Published: (2007)
by: Lim, S C, et al.
Published: (2007)
Quantum Liouville Theory in the Background Field Formalism I. Compact Riemann Surfaces
by: Takhtajan, Leon A., et al.
Published: (2006)
by: Takhtajan, Leon A., et al.
Published: (2006)
Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
by: Kilicman, Adem, et al.
Published: (2022)
by: Kilicman, Adem, et al.
Published: (2022)
LOCALLY SELF-SIMILAR FRACTIONAL OSCILLATOR PROCESSES
by: LIM, S. C., et al.
Published: (2007)
by: LIM, S. C., et al.
Published: (2007)
Path integral representation of fractional harmonic oscillator
by: EAB, C, et al.
Published: (2006)
by: EAB, C, et al.
Published: (2006)
Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions
by: Eab, C. H., et al.
Published: (2007)
by: Eab, C. H., et al.
Published: (2007)
The almost everywhere convergence of the eigenfunction expansions from Liouville classes corresponding to the elliptic operators
by: Ahmedov, Anvarjon A., et al.
Published: (2018)
by: Ahmedov, Anvarjon A., et al.
Published: (2018)
Rabi oscillations in the Jaynes-Cummings model
by: Ting, Hock King
Published: (2011)
by: Ting, Hock King
Published: (2011)
The identification of the components for Ti:sapphire laser oscillator
by: Wan Razali, Wan Aizuddin, et al.
Published: (2007)
by: Wan Razali, Wan Aizuddin, et al.
Published: (2007)
Fractional derivative quantum fields at positive temperature
by: LIM, S
Published: (2006)
by: LIM, S
Published: (2006)
A novel hybrid artificial intelligence technique
for colpitts oscillator design
by: Ghazali , Mohamad, et al.
Published: (2014)
by: Ghazali , Mohamad, et al.
Published: (2014)
Optical parametric oscillation in beta barium borate
Ahmad Lutfi Anis.
by: Anis, Ahmad Lutfi
Published: (1995)
by: Anis, Ahmad Lutfi
Published: (1995)
The Analytical Solution for the Black-Scholes Equation with Two Assets in the Liouville-Caputo Fractional Derivative Sense
by: Sawangtong, Panumart, et al.
Published: (2018)
by: Sawangtong, Panumart, et al.
Published: (2018)
Casimir energy associated with fractional derivative field
by: Lim, S. C.
Published: (2006)
by: Lim, S. C.
Published: (2006)
Development of High-Power Pulsed Fibre Laser Using Master Oscillator Power Amplifier (MOPA) System
by: Leong, Nathaniel Jenn Kwang
Published: (2020)
by: Leong, Nathaniel Jenn Kwang
Published: (2020)
Langevin equation with two fractional orders
by: LIM, S, et al.
Published: (2008)
by: LIM, S, et al.
Published: (2008)
Sample path properties of fractional Riesz–Bessel field of variable order
by: Lim, S. C., et al.
Published: (2008)
by: Lim, S. C., et al.
Published: (2008)
Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition
by: Zhang, X., et al.
Published: (2018)
by: Zhang, X., et al.
Published: (2018)
Positive solutions for nonlinear fractional differential equations with boundary conditions involving Riemann-Stieltjes integrals
by: Jiang, J., et al.
Published: (2012)
by: Jiang, J., et al.
Published: (2012)
Energy loss fromneutrino oscillations in massive stars / Nor Sofiah Ahmad
by: Ahmad, Nor Sofiah
Published: (2014)
by: Ahmad, Nor Sofiah
Published: (2014)
Some generalised characteristics of the electro-dynamics of the plasma focus in its axial phase: Illustrated by an application to independantly determine the drive current fraction and the mass swept-up fraction
by: Lee, S., et al.
Published: (2014)
by: Lee, S., et al.
Published: (2014)
Topological symmetry breaking of self-interacting fractional Klein–Gordon field theories on toroidal spacetime
by: Lim, S C, et al.
Published: (2008)
by: Lim, S C, et al.
Published: (2008)
Analytical and numerical methods for the Riemann problem
by: Murid, Ali Hassan Mohamed, et al.
Published: (2003)
by: Murid, Ali Hassan Mohamed, et al.
Published: (2003)
A generalized Cauchy process and its application to relaxation phenomena
by: Lim, S C, et al.
Published: (2006)
by: Lim, S C, et al.
Published: (2006)
Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann–Stieltjes integral conditions
by: Liu, B., et al.
Published: (2018)
by: Liu, B., et al.
Published: (2018)
A comparison study on the harmonic balance method
and rational harmonic balance method for the
Duffing-harmonic oscillator
by: Hosen, Md. Alal, et al.
Published: (2016)
by: Hosen, Md. Alal, et al.
Published: (2016)
Spline approach to the solution of Sturm - Liouville problem
by: S., Mehrkanoon, et al.
Published: (2009)
by: S., Mehrkanoon, et al.
Published: (2009)
The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
by: Zhang, Xinguang, et al.
Published: (2014)
by: Zhang, Xinguang, et al.
Published: (2014)
A rigorous derivation of power spectrum of fractional Gaussian noise
by: LI, MING
Published: (2006)
by: LI, MING
Published: (2006)
Morphological Properties Of Zinc Oxide Nanostructures Prepared By Electrochemical Process
by: Mah, Chai Fong
Published: (2018)
by: Mah, Chai Fong
Published: (2018)
Time-varying volatility in Malaysian stock exchange: An empirical study using multiple-volatility-shift fractionally integrated model
by: CHEONG, C
Published: (2008)
by: CHEONG, C
Published: (2008)
Quantum phase fluctuations of coherent and thermal light coupled to a non-degenerate parametric oscillator beyond rotating wave approximation
by: Alam, Mohosin D.Najib, et al.
Published: (2017)
by: Alam, Mohosin D.Najib, et al.
Published: (2017)
Process Development and Optimization of Carbon-Based Thin Film Deposition through Ablation of Graphite
by: Low, Andrew Chun Wey, et al.
Published: (2016)
by: Low, Andrew Chun Wey, et al.
Published: (2016)
Process Development and Optimization of Carbon-Based Thin Film Deposition through Ablation of Graphite
by: Low, Andrew Chun Wey, et al.
Published: (2016)
by: Low, Andrew Chun Wey, et al.
Published: (2016)
Effects of varying ultrasound parameters on the oscillation of a microbubble near a boundary
by: Najihah, Mohd Ali, et al.
Published: (2020)
by: Najihah, Mohd Ali, et al.
Published: (2020)
Geometric adeles and the Riemann-Roch theorem for 1-cycles on surfaces
by: Fesenko, Ivan
Published: (2015)
by: Fesenko, Ivan
Published: (2015)
Outcome based approach to lean and green manufacturing processing
by: Leong, W. D., et al.
Published: (2019)
by: Leong, W. D., et al.
Published: (2019)
The effects of excimer laser parameters on the ablation processes of polymethylmethacrylate
by: Mat Salim, Muhammad Aizi
Published: (2007)
by: Mat Salim, Muhammad Aizi
Published: (2007)
Modeling network traffic using generalized Cauchy process
by: LI, M, et al.
Published: (2008)
by: LI, M, et al.
Published: (2008)
Similar Items
-
Weyl and Riemann–Liouville multifractional Ornstein–Uhlenbeck processes
by: Lim, S C, et al.
Published: (2007) -
Quantum Liouville Theory in the Background Field Formalism I. Compact Riemann Surfaces
by: Takhtajan, Leon A., et al.
Published: (2006) -
Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative
by: Ahmood, Wasan Ajeel, et al.
Published: (2016) -
Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
by: Kilicman, Adem, et al.
Published: (2022) -
LOCALLY SELF-SIMILAR FRACTIONAL OSCILLATOR PROCESSES
by: LIM, S. C., et al.
Published: (2007)