On the steady solutions of fractional reaction-diffusion equations

چکیده مقاله

In this paper, we study the existence of weak solutions for stationary fractional reaction diffusion equations with Riemann-Liouville boundary conditions. An appropriate fractional Hilbert space is introduced and a compact embedding theorem demonstrated. Existence results are established using generalized Weierstrass theorem and relatively simple techniques from nonlinear functional analysis. © 2017, University of Nis. All rights reserved.