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Volumn 187, Issue 1 SPEC. ISS., 2007, Pages 315-325

On the Riemann-Liouville fractional calculus, g-Jacobi functions and F-Gauss functions

Author keywords

F Gauss hypergeometric functions; g Jacobi functions; Gauss hypergeometric differential equation; Jacobi polynomials; Riemann Liouville fractional differentiation and integration operators; Rodrigues' representation

Indexed keywords

DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FUNCTIONS; MATHEMATICAL OPERATORS; POLYNOMIALS;

EID: 34247341658     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.01.035     Document Type: Article
Times cited : (27)

References (14)
  • 1
    • 27744553159 scopus 로고    scopus 로고
    • Fractional extensions of the temperature field problem in oil strata
    • Boyadjiev L., and Scherer R. Fractional extensions of the temperature field problem in oil strata. Kuwait Journal of Science and Engineering 31 2 (2004) 15-32
    • (2004) Kuwait Journal of Science and Engineering , vol.31 , Issue.2 , pp. 15-32
    • Boyadjiev, L.1    Scherer, R.2
  • 4
    • 34247338629 scopus 로고    scopus 로고
    • R. Gorenflo, F. Mainardi, Essentials of fractional calculus, Preprint submitted to MaPhySto Center, preliminary version, 28 January 2000.
  • 9
    • 0242354999 scopus 로고    scopus 로고
    • Geometric and physical interpretation of fractional integration and fractional differentiation
    • Podlubny I. Geometric and physical interpretation of fractional integration and fractional differentiation. Fractional Calculus and Applied Analysis 5 4 (2002) 367-386
    • (2002) Fractional Calculus and Applied Analysis , vol.5 , Issue.4 , pp. 367-386
    • Podlubny, I.1
  • 10
    • 0003598080 scopus 로고
    • Gordon and Breach, Amsterdam [English translation from the Russian, Integrals and Derivatives of Fractional Order and Some of Their Applications (Nauka i Tekhnika, Minsk, 1987)]
    • Samko S.G., Kilbas A.A., and Marichev O.I. Fractional Integrals and Derivatives, Theory and Applications (1993), Gordon and Breach, Amsterdam [English translation from the Russian, Integrals and Derivatives of Fractional Order and Some of Their Applications (Nauka i Tekhnika, Minsk, 1987)]
    • (1993) Fractional Integrals and Derivatives, Theory and Applications
    • Samko, S.G.1    Kilbas, A.A.2    Marichev, O.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.