TY - JOUR TI - Fractional heat equation optimized by a chaotic function AU - Ibrahim Rabha W AU - Wazi Mayada T AU - Baleanu Dumitru AU - Al-Saidi Nadia JN - Thermal Science PY - 2021 VL - 25 IS - 102 SP - 173 EP - 178 PT - Article AB - In this effort, we propose a new fractional differential operator in the open unit disk. The operator is an extension of the Atangana-Baleanu differential operator without singular kernel. We suggest it for a normalized class of analytic functions in the open unit disk. By employing the extended operator, we study the time-2-D space heat equation and optimizing its solution by a chaotic function.