Integral analogue of the Leibniz rule for fractional calculus and its applications involving functions of several variables

Computers and Mathematics with Applications

Volumn 41, Issue 1-2, 2001, Pages 149-155

  Jaimini, B B ^a   Shrivastava, N ^a   Srivastava, H M ^b  

^a Dept Math Govt Coll Kota 324001 ^*  (India)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY SEQUENCES; CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; GEOMETRY; THEOREM PROVING;

FRACTIONAL CALCULUS; INFINITE INTEGRALS; LAURICELLA FUNCTIONS; LEIBNIZ RULE; MULTIVARIATE HYPERGEOMETRIC FUNCTIONS;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 0035129986     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)85013-6     Document Type: Article

References (9)

1. Samko S.G., Kilbas A.A., Marichev O.I. Fractional Integrals and Derivatives: Theory and Applications. 1993;Gordon and Breach Science, Reading.
2. Podlubny I. Fractional Differential Equations. Mathematics in Science and Engineering. 198:1999;Academic Press, New York.
3. Osler T.J. The integral analog of the Leibniz rule. Math. Comput. 26:1972;903-915.
4. Kalia R.N., Srivastava H.M. Fractional calculus and its applications involving functions of several variables. Appl. Math. Lett. 12:(5):1999;19-23.
5. Srivastava H.M. Some applications of fractional calculus involving the Gamma and related functions. Kalia R.N. Recent Advances in Fractional Calculus. 1993;179-202 Global Publishing, Sauk Rapids, MN.
6. Srivastava H.M., Karlsson P.W. Multiple Gaussian Hypergeometric Series. 1985;Halsted Press. (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York.
7. Srivastava H.M. Reduction and summation formulae for certain classes of generalised multiple hypergeometric series arising in physical and quantum chemical applications. J. Phys. A: Math. Gen. 18:1985;3079-3085.
8. Srivastava R. Some applications of fractional calculus. Srivastava H.M., Owa S. Univalent Functions, Fractional Calculus, and Their Applications. 1989;371-382 Halsted Press. (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York.
9. Arora A.K., Koul C.L. Applications of fractional calculus. Indian J. Pure Appl. Math. 18:1987;931-937.