Bulletin KRASEC. Phys. & Math. Sci, 2014, V. 9, №. 2, pp. 13-17. ISSN 2313-0156

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DOI: 10.18454/2313-0156-2014-9-2-13-17

MSC 34L40

CERTAIN PROPERTIES OF FRACTIONAL INTEGRO-DIFFERENTIATION OPERATOR OF FUNCTIONS IN OTHER FEATURES

A.S. Nishonboev

Fergana State University, 150100, Uzbekistan, Fergana c., Murabbiylar st., 19

E-mail: azizbek.nishoboev@mail.ru.

Prove an important lemma for the operator of fractional integro-differentiation of functions of other functions.

Key words: Gaussian function, the function Meyer, Mellin transform.

 

References

  1. Bateman H., Erdelyi A. Tables of integral transforms, Vol. 2. New York-Toronto-London, McGRAWHILL, 1954. (Russ. ed.: Bejtman H., ‘Erdeji A. Tablicy integral’nyh preobrazovanij. Kn. 2: Preobrazovaniya Besselya. Integraly ot special’nyh funkcij. Moscow, Nauka Publ., 1970. 325 p.).
  2. Marichev O.N. Metod vychislenie integralov ot special’nyh funkcij [The method for computing integrals of special functions]. Minsk, Nauka i tehnika Publ., 1978. 312 p.
  3. Samko S.G., Kilbas A.A., Marichev O.N. Integraly i proizvodnye drobnogo poryadka i nekotorye ih prilozheniya [Integrals and derivatives of fractional order, and some applications]. Minsk, Nauka i tehnika Publ., 1987. 688 p.

Original article submitted: 20.10.2014


NoshNishonboev Azizbek Solizhonovich – Lecturer, of Dep. Mathematical Analysis and Differential Equations, Fergana State University, Republic of Uzbekistan.

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