Weyl fractional calculus and Laplace transform
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 2−b 2)) and certain other forms. Also, a generating function involvingH-function of several variables is established with the help of generalized Taylor series.
KeywordsWeyl fractional calculus Laplace transform H-function
Unable to display preview. Download preview PDF.
- Erde’lyi Aet al 1954Tables of integral transforms (New York: McGraw Hill) Vol. 1Google Scholar
- Erde’lyi Aet al 1954Tables of integral transforms (New York: McGraw Hill) Vol. 2Google Scholar
- Mc Lachlan N W 1962Modern operational calculus with applications in technical mathematics (New York: Dover)Google Scholar
- Miller K S 1975Lecture notes in mathematics (New York: Springer-Verlag) Vol. 457Google Scholar