Article

    Ufa Mathematical Journal
    Volume 8, Number 3, pp. 41-48

    Inverting of generalized Riemann-Liouville operator by means of integral Laplace transform


    Bavrin I.I., Yaremko O.E.

    DOI:10.13108/2016-8-3-41

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    We employ the integral Laplace transform to invert the generalized Riemann-Liouville operator in a closed form. We establish that the inverse generalized Riemann-Liouville operator is a differential or integral-differential operator. We establish a relation between Riemann-Liouville operator and Temlyakov-Bavrin operator. We provide new examples of generalized Riemann-Liouville operator.