Basic boundary-value problems for one equation with fractional derivatives

Authors

  • G. P. Lopushanskaya (Львiв. нац. ун-т, Ряшiв. ун-т, Польща)

Abstract

We prove some properties of solutions of an equation 2αux2α1+2αux2α2+2αux2α3=0,α(12;1], in a domain ΩR3 which are similar to the properties of harmonic functions. By using the potential method, we investigate principal boundary-value problems for this equation.

Published

25.01.1999

Issue

Section

Research articles

How to Cite

Lopushanskaya, G. P. “Basic Boundary-Value Problems for One Equation With Fractional Derivatives”. Ukrains’kyi Matematychnyi Zhurnal, vol. 51, no. 1, Jan. 1999, pp. 48–59, https://umj.imath.kiev.ua/index.php/umj/article/view/4582.