Conformable fractional Dirac system on time scales

We study the conformable fractional (CF) Dirac system with separated boundary conditions on an arbitrary time scale [Formula: see text] . Then we extend some basic spectral properties of the classical Dirac system to the CF case. Eventually, some asymptotic estimates for the eigenfunction of the CF...

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Detalles Bibliográficos
Autores principales: Gulsen, Tuba, Yilmaz, Emrah, Goktas, Sertac
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5504247/
https://www.ncbi.nlm.nih.gov/pubmed/28751826
http://dx.doi.org/10.1186/s13660-017-1434-8
Descripción
Sumario:We study the conformable fractional (CF) Dirac system with separated boundary conditions on an arbitrary time scale [Formula: see text] . Then we extend some basic spectral properties of the classical Dirac system to the CF case. Eventually, some asymptotic estimates for the eigenfunction of the CF Dirac eigenvalue problem are obtained on [Formula: see text] . So, we provide a constructive procedure for the solution of this problem. These results are important steps to consolidate the link between fractional calculus and time scale calculus in spectral theory.

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