doiSerbia

Fractional heat equation optimized by a chaotic function

Ibrahim Rabha W. (IEEE, Kuala Lumpur, Malaysia), rabhaibrahim@yahoo.com
Wazi Mayada T. (Department of Electromechanical Engineering, University of Technology, Baghdad, Iraq)
Baleanu Dumitru (Department of Mathematics, Cankaya University, Balgat, Ankara, Turkey + Institute of Space Sciences, Magurele-Bucharest, Romania + Department of Medical Research, China Medical University, Taichung, Taiwan)
Al-Saidi Nadia (Department of Applied Sciences University of Technology, Baghdad, Iraq)

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.

Keywords: fractional calculus, thermal, heat equation, subordination, chaotic, univalent function, analytic function