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Published on: June 8, 2018
Conformable fractional Dirac system on time scales
Tuba Gulsen1, Emrah Yilmaz1, Sertac Goktas2
1Department of Mathematics, Faculty of Science, Firat University, Elazig, 23119 Turkey.
Abstract:
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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