TY - JOUR TI - Transient heat conduction with non-singular memory: Heat flux equation with a Mittag-Leffler memory naturally leads to ABC derivative Jordan Hristov AU - Hristov Jordan Y JN - Thermal Science PY - 2023 VL - 27 IS - 1 SP - 433 EP - 438 PT - Article AB - A constitutive heat flux equation with a Mittag-Leffler function as a memory kernel is proposed for transient heat conduction. With this new constitutive equation, the energy balance naturally leads to transient heat conduction equation with a damping term represented by the Atangana-Baleanu derivative of Caputo sense.