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Infinitely many solutions to boundary value problem for fractional differential equations

  • Diego Averna EMAIL logo , Angela Sciammetta and Elisabetta Tornatore
Published/Copyright: February 9, 2019

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.

Acknowledgements

The authors have been partially supported by the “Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA)” of the ”Istituto Nazionale di Alta Matematica (INdAM)”. In particular, the second author is holder of a postdoctoral fellowship from the INdAM/INGV research project “Strategic Initiatives for the Environment and Security - SIES”.

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Received: 2017-12-23
Published Online: 2019-02-09
Published in Print: 2018-12-19

© 2018 Diogenes Co., Sofia

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