Existence of Positive Solutions to Semipositone Fractional Differential Equations

Abstract

In this paper, by means of constructing a special cone, we obtain a sufficient condition for the existence of positive solution to semipositone fractional differential equation.

Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line

“…Natural phenomena in scientific and engineering areas can be described by semipositone problems, see for example [13]. Such problems involving ordinary and fractional differential equations have been considered by many authors for both finite and infinite intervals, see for example [14][15][16][17][18][19][20] and the references therein.…”