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Volumn 14, Issue 1, 2011, Pages 125-137

Fractional derivatives in spaces of generalized functions

Author keywords

Analytical continuation; Fractional derivatives; Fractional derivatives of discontinuous function; Spaces of generalized functions

Indexed keywords


EID: 80051640119     PISSN: 13110454     EISSN: 13142444     Source Type: Journal    
DOI: 10.2478/s13540-011-0009-5     Document Type: Article
Times cited : (8)

References (20)
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    • T. Atanacković, S. Pilipović, D. Zorica, Time distributed order diffusion-wave equation, I: Volterra type equation. Proc. R. Soc. A 465 (2009), 1869-1891.
    • (2009) Proc. R. Soc. A , vol.465 , pp. 1869-1891
    • Atanacković, T.1    Pilipović, S.2    Zorica, D.3
  • 2
    • 67149125441 scopus 로고    scopus 로고
    • Time distributed order diffusion-wave equation, II: Application of Laplace and Fourier transforms
    • T. Atanacković, S. Pilipović, D. Zorica, Time distributed order diffusion-wave equation, II: Application of Laplace and Fourier transforms. Proc. R. Soc. A 465 (2009), 1893-1917.
    • (2009) Proc. R. Soc. A , vol.465 , pp. 1893-1917
    • Atanacković, T.1    Pilipović, S.2    Zorica, D.3
  • 4
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • Chapter in: A. Carpinteri and F. Mainardi(Eds.): Springer-Verlag, Wien and New York
    • R. Gorenflo, F. Mainardi, Fractional calculus: Integral and differential equations of fractional order. Chapter in: A. Carpinteri and F. Mainardi(Eds.): Fractals and Fractional Calculus in Continuum Mechanics, Springer-Verlag, Wien and New York, 1997, 223-276.
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2
  • 5
    • 32044462506 scopus 로고    scopus 로고
    • On the Cauchy and multi-point problems for partial pseudo-differential equations of fractional order
    • R. Gorenflo, Yu.F. Luchko, and S.R. Umarov, On the Cauchy and multi-point problems for partial pseudo-differential equations of fractional order. Fract. Calc. Appl. Anal. 3, No 3 (2000), 249-275.
    • (2000) Fract. Calc. Appl. Anal , vol.3 , Issue.3 , pp. 249-275
    • Gorenflo, R.1    Luchko, Yu.F.2    Umarov, S.R.3
  • 6
    • 70449526839 scopus 로고    scopus 로고
    • An approach via fractional analysis to non-linearity induced by coarse-graining in space
    • G. Jumarie, An approach via fractional analysis to non-linearity induced by coarse-graining in space. Nonlinear Analysis: Real World Applications 11, No 1 (2010), 535-546.
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , Issue.1 , pp. 535-546
    • Jumarie, G.1
  • 12
  • 17
    • 80051621387 scopus 로고    scopus 로고
    • Foundations of fractional calculus in generalized functions algebras
    • To appear
    • M. Stojanović, Foundations of fractional calculus in generalized functions algebras. Analysis and Applications, To appear (2011).
    • (2011) Analysis and Applications
    • Stojanović, M.1
  • 18
    • 80051611995 scopus 로고    scopus 로고
    • Note on fractional distributional derivatives
    • M. Stojanović, Note on fractional distributional derivatives. Preprint (2010).
    • (2010) Preprint
    • Stojanović, M.1
  • 20
    • 32044453310 scopus 로고    scopus 로고
    • Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations, Part one
    • S. Umarov, R. Gorenflo, Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations, Part One. J. Anal. Appl. 245, No 3 (2005), 449-466. (Pubitemid 43198318)
    • (2005) Zeitschrift fur Analysis und ihre Anwendung , vol.24 , Issue.3 , pp. 449-466
    • Umarov, S.1    Gorenflo, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.