Constant Sign Solutions to Linear Fractional Integral Problems and Their Applications to the Monotone Method

Abstract

This manuscript provides some results concerning the sign of solutions for linear fractional integral equations with constant coefficients. This information is later used to prove the existence of solutions to some nonlinear problems, together with underestimates and overestimates. These results are obtained after applying suitable modifications in the classical process of monotone iterative techniques. Finally, we provide an example where we prove the existence of solutions, and we compute some estimates.

Keywords

• fractional calculus
• integral and differential equations
• constant sign