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Proceedings Mathematical Sciences

, Volume 92, Issue 3, pp 167–170 | Cite as

Weyl fractional calculus and Laplace transform

  • S N Agal
  • C L Koul
Article

Abstract

The Weyl fractional calculus is developed to obtain Laplace transforms oft q ϕ(t) (for all real values ofq) where ϕ(t) is taken in the form off(a√(t 2b 2)) and certain other forms. Also, a generating function involvingH-function of several variables is established with the help of generalized Taylor series.

Keywords

Weyl fractional calculus Laplace transform H-function 

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References

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    Erde’lyi Aet al 1954Tables of integral transforms (New York: McGraw Hill) Vol. 1Google Scholar
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    Erde’lyi Aet al 1954Tables of integral transforms (New York: McGraw Hill) Vol. 2Google Scholar
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    Mc Lachlan N W 1962Modern operational calculus with applications in technical mathematics (New York: Dover)Google Scholar
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    Miller K S 1975Lecture notes in mathematics (New York: Springer-Verlag) Vol. 457Google Scholar
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    Raina R K and Koul C L 1979Proc. Am. Math. Soc. 73 188MATHCrossRefMathSciNetGoogle Scholar
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    Srivastava H M and Panda R 1976Comment Math. Univ. St. Paul. 25fasc. 2 167MathSciNetGoogle Scholar

Copyright information

© Indian Academy of Sciences 1983

Authors and Affiliations

  • S N Agal
    • 1
  • C L Koul
    • 1
  1. 1.Department of MathematicsMalaviya Regional Engineering CollegeJaipurIndia

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