BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.26, ss.121-146, 2020 (ESCI İndekslerine Giren Dergi)
In this article, we consider a conformable fractional Dirac system. We prove an existence and uniqueness theorem for this system and formulate a self-adjoint boundary-value problem. We also construct the associated Green matrix of the conformable fractional Dirac system, and we give the eigenfunction expansions. Finally, we give some examples.