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

Author

Listed:
  • Daniel Cao Labora

    (Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

  • Rosana Rodríguez-López

    (Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Daniel Cao Labora & Rosana Rodríguez-López, 2020. "Constant Sign Solutions to Linear Fractional Integral Problems and Their Applications to the Monotone Method," Mathematics, MDPI, vol. 8(2), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:156-:d:311881
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