@article{Litovchenko_2005, title={Cauchy problem with Riesz operator of fractional differentiation}, volume={57}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3716}, abstractNote={In the class of generalized functions of finite order, we establish the correct solvability of the Cauchy problem for a pseudodifferential equation whose symbols are homogeneous functions of order γ > 0. We prove a theorem on the localization property of a solution of this problem.}, number={12}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Litovchenko, V. A.}, year={2005}, month={Dec.}, pages={1653–1667} }