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Question: I want to define an differential operator

Question:I want to define an differential operator

Muhammad Usman 235 Maple 13
operator
March 10 2014
1

AOA...I want to introduce an operator to find the derivative of fractional order i.e.,

 

J^((alpha)) x^(k):=(GAMMA(k+1))/(GAMMA(k-alpha+1))x^(k-alpha):

 

when i applied J^(1/2) on x^2+x^3 it gives

 

GAMMA(3)*x^(3/2)/GAMMA(7/2)+GAMMA(4)*x^(5/2)/GAMMA(9/2)

 

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