The traces of the solutions of the semi-linear equations with fractional derivative with respect to time

Authors

  • A.O. Lopushansky Institute of Mathematics, University of Rzeszow, 1 Prof. St. Pigonia str., 35-310, Rzeszow, Poland https://orcid.org/0000-0002-1448-964X
  • H.P. Lopushanska Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • O.V. Pasichnyk Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine

Keywords:

semi-linear equation, generalized function, weight functional space, convolution, fractional derivative
Published online: 2011-06-30

Abstract

The sufficient conditions of the existence of the generalized initial values of the regular in domain solutions for semi-linear diffusion equations under perturbations of the fractional derivative with respect to time are obtained.

How to Cite
(1)
Lopushansky, A.; Lopushanska, H.; Pasichnyk, O. The Traces of the Solutions of the Semi-Linear Equations With Fractional Derivative With Respect to Time. Carpathian Math. Publ. 2011, 3, 85-93.