On Mittag-Leffler type function and applications

Integral Transforms and Special Functions

Volumn 7, Issue 1-2, 1998, Pages 97-112

  Saigo, Megumi ^a   Kilbas, Anatoly A ^b  

^a FUKUOKA UNIVERSITY   (Japan)

^b BELARUSIAN STATE UNIVERSITY   (Belarus)

Author keywords

Differential equations of fractional order; Fractional calculus; Mittag Leffler function; Ordinary differential equations

Indexed keywords

EID: 84878140835     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652469808819189     Document Type: Article

References (7)

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3. P. Humbert and R.P. Agarwal, Sur la fonction de Mittag-Leffler et quelques unes de ses généralisations, Bull. Sci. Math. (2) 77(1953), 180-185.
4. A.A. Kilbas and M. Saigo, On Mittag-Leffler type function, fractional calculus operators and solution of integral equations, Integral Transf. Spec. Funct. 4(1996), 355-370.
5. α(x), C. R. Acad. Sci. Paris 137(1903), 554558.
6. G. Mittag-Leffler, Sur la representation analytique d'une branche uniforme d'une fonction monogéne (cinquiéme note), Acta Math. 29(1905), 101-181.
7. S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives. Theory and Applications, Gordon and Breach, Yverdon (Switzerland), 1993.