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Infinitely many solutions to boundary value problem for fractional differential equations

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Abstract

Variational methods and critical point theorems are used to discuss existence of infinitely many solutions to boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. An example is given to illustrate our result.

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Authors and Affiliations

  1. Dept. of Mathematics and Computer Science, University of Palermo, Palermo, Italy

    Diego Averna, Angela Sciammetta & Elisabetta Tornatore

Authors
  1. Diego Averna
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  2. Angela Sciammetta
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  3. Elisabetta Tornatore
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Correspondence to Diego Averna.

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Averna, D., Sciammetta, A. & Tornatore, E. Infinitely many solutions to boundary value problem for fractional differential equations. FCAA 21, 1585–1597 (2018). https://doi.org/10.1515/fca-2018-0083

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