MUMBAI, India, Aug. 31 -- Intellectual Property India has published a patent application (202621082679 A) filed by Mr. Swarupkumar Bhaurao Bhalke; Dr. Amjad Salim Shaikh; Dr. Shraddha Chandrashekhar Mahakal; Mr. Ravindra Dhondu Morbekar; and Mr. Vikas Popat Mhaske on July 05, 2026, for A Rapid Computer-Implemented Symbolic Computation Technique For Solving Nonlinear Caputo- Fabrizio Fractional Differential Equations Using Iterative Laplace Transform Decomposition..
Inventors include Mr. Swarupkumar Bhaurao Bhalke; Dr. Amjad Salim Shaikh; Dr. Shraddha Chandrashekhar Mahakal; Mr. Ravindra Dhondu Morbekar; and Mr. Vikas Popat Mhaske.
The application for the patent was published on August 28, 2026, under issue no. 35/2026.
Abstract: The present invention discloses a computer-implemented rapid symbolic computational framework for solving nonlinear fractional differential equations involving the Caputo–Fabrizio fractional derivative operator. The invention integrates the Laplace transform technique with an iterative recursive decomposition mechanism for automatic generation of series solution terms without repeated manual symbolic differentiation and nonlinear expansion. The framework introduces recursive nonlinear operators for efficient evaluation of nonlinear components and employs inverse Laplace transformation to construct convergent analytical approximations. The invention significantly reduces computational complexity, symbolic processing time, and memory consumption in comparison with the conventional method. The proposed framework is suitable for nonlinear fractional ordinary differential equations, partial differential equations, engineering models, viscoelastic systems, fluid dynamics, signal processing, and mathematical physics applications. The invention is implemented using symbolic computation software, like Mathematica.
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