Variational methods for fractional q-Sturm-Liouville problems

@inproceedings{Mansour2016VariationalMF,
  title={Variational methods for fractional q-Sturm-Liouville problems},
  author={Z. S. Mansour},
  year={2016}
}
In this paper, we formulate a regular q-fractional Sturm-Liouville problem (qFSLP) which includes the left-sided Riemann-Liouville and the right-sided Caputo q-fractional derivatives of the same order α, α ∈ (0, 1). We introduce the essential q-fractional variational analysis needed in proving the existence of a countable set of real eigenvalues and… CONTINUE READING