MUMBAI, India, Jan. 23 -- Intellectual Property India has published a patent application (202531103370 A) filed by National Institute Of Technology, Jamshedpur, Jharkhand, on Oct. 27, 2025, for 'ai-driven fractional rabotnov-yac operator for solving multidimensional heat and diffusion equations.'
Inventor(s) include Dr. Surath Ghosh; and Dr. Sunil Kumar.
The application for the patent was published on Jan. 23, under issue no. 04/2026.
According to the abstract released by the Intellectual Property India: "The invention discloses a hardware-assisted AI-driven fractional Rabotnov-YAC operator system designed for solving multidimensional heat and diffusion equations. Implemented on a hybrid analog-digital computing architecture, the system executes fractional differential operations using a Rabotnov exponential kernel formulated in the Yang-Abdel-Aty-Cattani (YAC) sense. An AI Optimization Module dynamically adjusts fractional parameters for rapid convergence, while the Fractional Computation Unit performs real-time integration employing homotopy perturbation and residual power-series techniques. Solutions are expressed in generalized Mittag-Leffler functions to ensure mathematical stability and accuracy. The invention achieves significant technical advancement through reduced computational latency, enhanced precision, and adaptability for various engineering, physics, and environmental applications, thereby providing an industrially viable platform for fractional calculus-based modelling and simulation."
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