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arXiv · 1604.04120

An Identity Involving Integration with Respect to Variable Order of Fractional Derivative

Ivan Matychyn
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Abstract

In 1993, Samko and Ross introduced the study of fractional integration and differentiation when the order is not a constant but a function. This suggestion gave rise to a number of further ideas and results. In particular, this implies a possibility of integration with respect to derivative's order. Here an identity is presented, in which an expression involving Riemann--Liouville fractional derivative is integrated with respect to the derivative's order.

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Ivan Matychyn. 2016-04-14. An Identity Involving Integration with Respect to Variable Order of Fractional Derivative. https://doi.org/10.1515/fca-2016-0075

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