In this work, including $\alpha\epsilon(0,1)$; we examined the Dirac system in the frame which includes$\ \alpha$ order right and left Reimann-Liouville fractional integrals and derivatives with exponential kernels, and the Dirac system which includes $\alpha$ order right and left Caputo fractional integrals and derivatives with exponential kernels. Furthermore, we have given some definitions and properties for discrete exponential kernels and their associated fractional sums and fractional differences, and we have studied discrete fractional Dirac systems.
Exponential kernels, fractional Dirac system, fractional derivatives, discrete fractional Dirac system
"Some fractional Dirac systems,"
Turkish Journal of Mathematics: Vol. 47:
1, Article 8.
Available at: https://journals.tubitak.gov.tr/math/vol47/iss1/8