H. P. Lopushanska, A. O. Lopushanskyj, E. V. Pasichnik, “The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative”, Sibirsk. Mat. Zh., 2011, Volume 52, Number 6,Pages <nobr>1288

This article is cited in 8 papers

The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative

H. P. Lopushanska^a, A. O. Lopushanskyj^b, E. V. Pasichnik^a

^a Ivan Franko National University of L'viv, L'viv, Ukraine
^b Institute of Mathematics, Rzeszów University, Rzeszów, Poland

Abstract: We prove the existence and uniqueness theorem of solutions to the Cauchy problem for the equations with the right-hand side and the initial condition possessing the fractional time derivative and generalized functions.

Keywords: generalized function, convolution, derivative of fractional order, Green function.

UDC: 517.95

Received: 31.12.2010