Initialized fractional calculus

In mathematical analysis, initialization of the differintegrals is a topic in fractional calculus, a branch of mathematics dealing with derivatives of non-integer order. == Composition rule of Differintegrals == The composition law of the differintegral operator states that although: D q D − q = I {\displaystyle \mathbb {D} ^{q}\mathbb {D} ^{-q}=\mathbb {I} } wherein D−q is the left inverse of Dq, the converse is not necessarily true: D − q D q ≠ I {\displaystyle \mathbb {D} ^{-q}\mathbb {D} ^{q}\neq \mathbb {I} } === Example === Consider elementary integer-order calculus.

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