MUMBAI, India, Aug. 31 -- Intellectual Property India has published a patent application (202621083209 A) filed by Nannaware Jagdish Ashruba; Dr. Narendra Govindrao Patil; Dr. Pandurang Dattu Kundgar; Dr. Changdev Popatrao Jadhav; Dr. Parameshwari M; and Dr. Ashwini Manik Alure on July 07, 2026, for Method For Analyzing Fractional-Order Electrical Circuits Via Sumudu Transform And Atangana-Baleanu Derivatives.
Inventors include Nannaware Jagdish Ashruba; Dr. Narendra Govindrao Patil; Dr. Pandurang Dattu Kundgar; Dr. Changdev Popatrao Jadhav; Dr. Parameshwari M; and Dr. Ashwini Manik Alure.
The application for the patent was published on August 28, 2026, under issue no. 35/2026.
Abstract: The invention provides a mathematical modeling framework for fractional LC, RC, and RL electrical circuits. The current and charge at any given time are determined using the Sumudu transform method applied to Atangana-Baleanu (ABC) fractional derivatives. The model accounts for non-local dynamics and memory effects inherent in electrical components. Analytical solutions are derived for various input sources, including unit step, exponential, and periodic signals, and are validated through mathematical simulation.
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