Electron. J. Differential Equations, Vol. 2017 (2017), No. 66, pp. 1-13.

Existence of infinitely many solutions for a fractional differential inclusion with non-smooth potential

Fariba Fattahi, Mohsen Alimohammady

Abstract:
In this article, we use non-smooth critical point theory and variational methods to study the existence solutions for a fractional boundary-value problem. We provide some intervals for positive parameters in which the problem possess infinitely many solutions.

Submitted August 21, 2016. Published March 4, 2017.
Math Subject Classifications: 35J87, 26A33, 49J40, 49J52.
Key Words: Non-smooth critical point theory; fractional differential inclusion; infinitely many solutions.

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Fariba Fattahi
Department of Mathematics
University of Mazandaran
Babolsar, Iran
email: F.Fattahi@stu.umz.ac.ir
Mohsen Alimohammady
Department of Mathematics
University of Mazandaran
Babolsar, Iran
email: Amohsen@umz.ac.ir

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