Solution To Suggested Fractional Calculus Problem

 Write the multiple integral form for  d  ^-3 f/ [dx]^-3 

We have:

d  ^-n f/ [dx]^-n    =  ò ^x _o    dx _n-1  ò ^xn-1 _o  dx _n-2  .....ò ^x2 _o    dx ₁ ò ^x1 _o   f(x _o)   dx _o

_Then:

d  ^-3 f/ [dx]^-3 

=    ò ^x _o    dx ₁  ò ^x1 _o   f(x _o)   dx _o  ò ^x2 _o   f(x ₁)   dx ₁