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

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Abstract

An identity is presented, in which an expression involving Riemann–Liouville fractional derivative is integrated with respect to the derivative’s order. As a by-product an integral analogue of an identity for a sum of binomial coefficients is derived.

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Authors and Affiliations

  1. University of Warmia and Mazury Faculty of Mathematics and Computer Science, Sloneczna 54 Street, 10-710, Olsztyn, Poland

    Ivan Matychyn

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  1. Ivan Matychyn
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Correspondence to Ivan Matychyn.

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Matychyn, I. An Identity Involving Integration with Respect to Variable Order of Fractional Derivative. FCAA 19, 1460–1465 (2016). https://doi.org/10.1515/fca-2016-0075

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  • DOI: https://doi.org/10.1515/fca-2016-0075

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