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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 1 | Year 2016 | Article Id. IJMTT-V33P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P509

On some generalized results of fractional derivatives


F.Y. Ayant
Abstract

The purpose of the present document is to derive a number of key formulas for fractional derivatives of multivariables Aleph-function and generalized multivariable polynomials. Some of the applications of the key formulas provide potentially useful generalizations of know results in the theory of fractional calculus.

Keywords
Aleph-function of several variables,general fractional derivative formulae, special function, general class of polynomials.
References

[1] Bhatt S. and Raina R.K. A new class of analytic function involving certain fractional derivatives operator. Acta. Math. Univ. Comenianee, vol 68,1, 1999, p.179-193.
[2] Chandel R.C.S and Kumar . On some generalized results of fractional derivatives. Jnanabha vol36, 2006, p.105-112
[3] Chandel R.C.S and Gupta V. On some generalized fractional derivatives formulas. Jnanabha Vol41, 2011, p.109-130
[4] Oldham K.B.and Spanier J. The fractional calculus. Academic Press , New York 1974.
[5] Samko S.G. Kilbas A.A. And Marichev O.I. Fractional integrals and derivatives, Theory and Applications, Gordon and Beach, New-York, 1993
[6] Sharma C.K.and Ahmad S.S. On the multivariable I-function. Acta ciencia Indica Math, vol 20,no2, 1994, p 113
[7] Srivastava H.M., A contour integral involving Fox's H-function. Indian J.Math. 14(1972), page1-6.
[8] Srivastava H.M. and Daoust M.C. Certain generalized Neumann expansions associated with Kampé de Fériet function. Nederl. Akad. Wetensch. Proc. Ser. A72 = Indag. Math, 31, (1969), p 449-457.
[9] Srivastava H.M. And Garg M. Some integral involving a general class of polynomials and multivariable H-function. Rev. Roumaine Phys. 32(1987), page 685-692.
[10] H.M. Srivastava And R.Panda. Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24(1975), p.119-137.

Citation :

F.Y. Ayant, "On some generalized results of fractional derivatives," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 1, pp. 54-66, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P509

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