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Multiple Solutions for Fractional Boundary Value Problems

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Abstract

Variational methods and critical point theorems are used to discuss existence and multiplicity of solutions for fractional boundary value problem where Riemann–Liouville fractional derivatives and Caputo fractional derivatives are used. Some conditions to determinate nonnegative solutions are presented. An example is given to illustrate our results.

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Acknowledgements

The authors were partially supported by INdAM-GNAMPA Project 2015.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli studi di Palermo, Via Archirafi, 90123, Palermo, Italy

    Diego Averna & Elisabetta Tornatore

  2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

Authors
  1. Diego Averna
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  2. Donal O’Regan
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  3. Elisabetta Tornatore
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Corresponding author

Correspondence to Elisabetta Tornatore.

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Communicated by Asadollah Aghajani.

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Averna, D., O’Regan, D. & Tornatore, E. Multiple Solutions for Fractional Boundary Value Problems. Bull. Iran. Math. Soc. 44, 137–148 (2018). https://doi.org/10.1007/s41980-018-0010-4

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  • DOI: https://doi.org/10.1007/s41980-018-0010-4

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