The weyl fractional calculus

1975 ◽  
pp. 80-89 ◽  
Author(s):  
Kenneth S. Miller
Keyword(s):  
Fractional Calculus ◽  
Weyl Fractional Calculus

scholarly journals Generalized Mittag-Leffler Function Associated with Weyl Fractional Calculus Operators

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Ahmad Faraj ◽  
Tariq Salim ◽  
Safaa Sadek ◽  
Jamal Ismail
Keyword(s):  
Integral Operator ◽  
Fractional Calculus ◽  
Fractional Integral ◽  
Differential Operators ◽  
Fractional Integral Operator ◽  
Fractional Calculus Operators ◽  
Weyl Fractional Integral ◽  
Weyl Fractional Calculus

This paper is devoted to study further properties of generalized Mittag-Leffler functionEα,β,pγ,δ,qassociated with Weyl fractional integral and differential operators. A new integral operatorℰα,β,p,w,∞γ,δ,qdepending on Weyl fractional integral operator and containingEα,β,pγ,δ,q(z)in its kernel is defined and studied, namely, its boundedness. Also, composition of Weyl fractional integral and differential operators with the new operatorℰα,β,p,w,∞γ,δ,qis established.

scholarly journals Two-dimensional generalized Weyl fractional calculus pertaining to two-dimensional $ \overline{H} $-transforms

2006 ◽  
Vol 37 (3) ◽  
pp. 237-249
Author(s):  
V. B. L. Chaurasia ◽  
Amber Srivastava
Keyword(s):  
Fractional Calculus ◽  
Fractional Integration ◽  
Two Dimensional ◽  
Weyl Fractional Calculus

The aim of this paper is to establish a relation between the two-dimensional $ \overline{H} $-transform involving a general polynomials and the Weyl type two-dimensional Saigo operator of fractional integration.

scholarly journals The two dimensional generalized Weyl fractional calculus and special functions

2010 ◽  
Vol 41 (2) ◽  
pp. 139-148
Author(s):  
V. B. L. Chaurasia ◽  
Mukesh Agnihotri
Keyword(s):  
Fractional Calculus ◽  
General Class ◽  
Special Functions ◽  
Fractional Integration ◽  
Two Dimensional ◽  
General Class Of Polynomials ◽  
Weyl Fractional Calculus

The object of this present paper is to derive a relation between the two dimensional I-transform involving a general class of polynomials and the Weyl type two dimensional Saigo operators of fractional integration. The results derived here are general in nature and include the results given earlier by Saigo, Saxena and Ram [10],Saxena and Ram [8], Saxena and Kiryakova [9] and Chaurasia and Srivastava [12].

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