메뉴 건너뛰기




Volumn 55, Issue 4, 2009, Pages 395-399

A fractional calculus interpretation of the fractional volatility model

Author keywords

Dynamics of markets; Fractional calculus; Stochastic models

Indexed keywords

CALCULATIONS; COMMERCE; RANDOM PROCESSES; STOCHASTIC SYSTEMS;

EID: 59349109245     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-008-9372-0     Document Type: Article
Times cited : (60)

References (24)
  • 2
    • 0037798981 scopus 로고    scopus 로고
    • Reconstructing an economic space from a market metric
    • R. Vilela Mendes T. Araújo F. Louçã 2003 Reconstructing an economic space from a market metric Phys. A 323 635 650
    • (2003) Phys. A , vol.323 , pp. 635-650
    • Vilela Mendes, R.1    Araújo, T.2    Louçã, F.3
  • 3
    • 33847023875 scopus 로고    scopus 로고
    • The geometry of crashes. A measure of the dynamics of stock market crises
    • T. Araújo F. Louçã 2007 The geometry of crashes. A measure of the dynamics of stock market crises Quant. Finance 7 63 74
    • (2007) Quant. Finance , vol.7 , pp. 63-74
    • Araújo, T.1    Louçã, F.2
  • 4
    • 80051793813 scopus 로고    scopus 로고
    • A data-reconstructed fractional volatility model
    • arXiv:math/0602013
    • Vilela Mendes, R., Oliveira, M.J.: A data-reconstructed fractional volatility model. Economics (2008). http://www.economics-ejournal.org/economics/ discussionpapers/2008-22. arXiv:math/0602013
    • (2008) Economics
    • Vilela Mendes, R.1    Oliveira, M.J.2
  • 5
    • 42649132064 scopus 로고    scopus 로고
    • The fractional volatility model: An agent-based interpretation
    • R. Vilela Mendes 2008 The fractional volatility model: An agent-based interpretation Phys. A 387 3987 3994
    • (2008) Phys. A , vol.387 , pp. 3987-3994
    • Vilela Mendes, R.1
  • 6
    • 0242354999 scopus 로고    scopus 로고
    • Geometric and physical interpretation of fractional integration and fractional differentiation
    • I. Podlubny 2002 Geometric and physical interpretation of fractional integration and fractional differentiation Fract. Calc. Appl. Anal. 5 367 386
    • (2002) Fract. Calc. Appl. Anal. , vol.5 , pp. 367-386
    • Podlubny, I.1
  • 7
    • 0034275979 scopus 로고    scopus 로고
    • Fractional calculus and continuous-time finance
    • E. Scalas R. Gorenflo F. Mainardi 2000 Fractional calculus and continuous-time finance Phys. A 284 376 384
    • (2000) Phys. A , vol.284 , pp. 376-384
    • Scalas, E.1    Gorenflo, R.2    Mainardi, F.3
  • 8
    • 0034502929 scopus 로고    scopus 로고
    • Fractional calculus and continuous-time finance II: The waiting-time distribution
    • F. Mainardi M. Raberto R. Gorenflo E. Scalas 2000 Fractional calculus and continuous-time finance II: The waiting-time distribution Phys. A 287 468 481
    • (2000) Phys. A , vol.287 , pp. 468-481
    • Mainardi, F.1    Raberto, M.2    Gorenflo, R.3    Scalas, E.4
  • 9
    • 0036949980 scopus 로고    scopus 로고
    • Waiting-times and returns in high-frequency financial data: An empirical study
    • M. Raberto E. Scalas F. Mainardi 2002 Waiting-times and returns in high-frequency financial data: an empirical study Phys. A 314 749 755
    • (2002) Phys. A , vol.314 , pp. 749-755
    • Raberto, M.1    Scalas, E.2    Mainardi, F.3
  • 10
    • 0002898176 scopus 로고    scopus 로고
    • Fractional calculus and continuous-time finance III: The diffusion limit
    • Birkhäuser Basel
    • Gorenflo, R., Mainardi, F., Scalas, E., Raberto, M.: Fractional calculus and continuous-time finance III: the diffusion limit. In: Kohlmann, M., Tang, S. (eds.) Mathematical Finance, pp. 171-180. Birkhäuser, Basel (2001)
    • (2001) Mathematical Finance , pp. 171-180
    • Gorenflo, R.1    Mainardi, F.2    Scalas, E.3    Raberto, M.4    Kohlmann, M.5    Tang, S.6
  • 12
    • 33747344265 scopus 로고    scopus 로고
    • Coupled continuous time random walks in finance
    • M.M. Meerschaert E. Scalas 2006 Coupled continuous time random walks in finance Phys. A 370 114 118
    • (2006) Phys. A , vol.370 , pp. 114-118
    • Meerschaert, M.M.1    Scalas, E.2
  • 14
    • 0000599032 scopus 로고    scopus 로고
    • Fractional kinetic equations: Solutions and applications
    • A.I. Saichev G.M. Zaslavsky 1997 Fractional kinetic equations: Solutions and applications Chaos 7 753 764
    • (1997) Chaos , vol.7 , pp. 753-764
    • Saichev, A.I.1    Zaslavsky, G.M.2
  • 20
    • 33745869026 scopus 로고    scopus 로고
    • Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
    • N. Heymans I. Podlubny 2006 Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives Rheol. Acta 45 765 771
    • (2006) Rheol. Acta , vol.45 , pp. 765-771
    • Heymans, N.1    Podlubny, I.2
  • 21
    • 33746714528 scopus 로고    scopus 로고
    • Sampling almost periodic functions with random probes of finite density
    • P. Collet 1996 Sampling almost periodic functions with random probes of finite density Proc. R. Soc. Lond. A 452 2263 2277
    • (1996) Proc. R. Soc. Lond. A , vol.452 , pp. 2263-2277
    • Collet, P.1
  • 22
    • 14844296496 scopus 로고    scopus 로고
    • A probabilistic interpretation of fractional-order differentiation
    • J.A.T. Machado 2003 A probabilistic interpretation of fractional-order differentiation Fract. Calc. Appl. Anal. 6 73 80
    • (2003) Fract. Calc. Appl. Anal. , vol.6 , pp. 73-80
    • MacHado, J.A.T.1
  • 23
    • 4043144342 scopus 로고    scopus 로고
    • Probabilistic interpretation of the integral of fractional order
    • A.A. Stanislavsky 2004 Probabilistic interpretation of the integral of fractional order Theor. Math. Phys. 138 418 431
    • (2004) Theor. Math. Phys. , vol.138 , pp. 418-431
    • Stanislavsky, A.A.1
  • 24
    • 0033089733 scopus 로고    scopus 로고
    • Fractional calculus as a macroscopic manifestation of randomness
    • P. Grigolini A. Rocco B. West 1999 Fractional calculus as a macroscopic manifestation of randomness Phys. Rev. E 59 2603 2613
    • (1999) Phys. Rev. e , vol.59 , pp. 2603-2613
    • Grigolini, P.1    Rocco, A.2    West, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.