Two definitions of the generalized Cauchy problem for semi-linear diffusion equation with fractional derivative with respect to time

Different equivalent definitions of the Cauchy problem for semi-linear diffusion equation with fractional derivative with respect to time and with the generalized function in the initial condition are offered. The existence and uniqueness theorem and the representation of the solution of such proble...

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Bibliographic Details
Main Authors: A. O. Lopushansky, H. P. Lopushanska, O. V. Pasichnyk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-01-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/88