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

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

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.