Abstract
Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.
Highlights
In this paper we study the existence of positive solutions for the system of fractional difference boundary value problems involving semipositone nonlinearities:
Fractional calculus has been applied in physics, chemistry, aerodynamics, biophysics, and blood flow phenomena
In [3], the authors considered the existence of positive solutions for the semipositone discrete fractional system
Summary
Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. In this paper we study the existence of positive solutions for the system of fractional difference boundary value problems involving semipositone nonlinearities:
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