Existence results for fractional Fisher-Kolmogoroff steady state problem

Abstract

In the present paper, we study the existence results of positive weak solution for the fractional Fisher-Kolmogoroff steady state problem. We establish a condition under which the system under consideration has a positive weak solution. Also, we consider the case in which there is no positive weak solution. We use the method of sub-supersolutions to establish our existence results.

Existence and stability of positive weak solutions for a class of chemically reacting systems

“…On the other hand, several authors are keen on studying the stability and instability of positive solutions of linear [1], semilinear [11,22,24,30], semiposiotne [2,5,29] and fractional [16] systems, as a result of many applications in Newtonian fluids, in Fluid mechanics, in reactiondiffusion problems, in population dynamics, glaciology, etc. ; see [4,16] and their references.…”