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

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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… Click to show full 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: solutions linear; constant sign; integral problems; sign solutions; linear fractional; fractional integral

Journal Title: Mathematics
Year Published: 2020

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