Published on: August 2026
AN EXTENDED LW TRANSFORM FRAMEWORK FOR DYNAMIC SYSTEM ANALYSIS, FRACTIONAL MODELING, AND ENGINEERING APPLICATIONS
Aayushee G Shinde S Padmaja G
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Abstract
The LW transform combines the classical Laplace transform with Gaussian smoothing to provide a unified framework for solving dynamic systems involving temporal evolution while incorporating inherent regularization. Building on the foundational work introduced in 2013, this paper presents significant theoretical extensions, including an inversion framework, a convolution theorem, fractional-order operators, and numerical implementation strategies. These developments broaden the applicability of the LW transform to differential and integro-differential equations, enabling robust analytical solutions with improved noise handling and computational stability.
The extended framework is demonstrated through applications in lithium-ion battery modeling and electric vehicle power systems, where it supports parameter estimation, state-of-charge analysis, and hybrid energy architecture design. It is further applied to resilient supply chain modeling, facilitating the analysis of disruption propagation, inventory dynamics with time delays, and mitigation of the bullwhip effect. By bridging advanced transform theory with practical engineering and logistics challenges, the enhanced LW transform emerges as a versatile analytical tool for researchers and practitioners. Future research directions include its integration with quantum-inspired optimization techniques for large-scale logistics and supply chain decision-making.
How to Cite this Paper
G, A., S, S. & G, P. (2026). An Extended LW Transform Framework for Dynamic System Analysis, Fractional Modeling, and Engineering Applications. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(8), 1-9. https://doi.org/10.55041/ijcope.v2i8.018
G, Aayushee, et al.. "An Extended LW Transform Framework for Dynamic System Analysis, Fractional Modeling, and Engineering Applications." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 8, 2026, pp. 1-9. doi:https://doi.org/10.55041/ijcope.v2i8.018.
G, Aayushee,Shinde S, and Padmaja G. "An Extended LW Transform Framework for Dynamic System Analysis, Fractional Modeling, and Engineering Applications." International Journal of Creative and Open Research in Engineering and Management 02, no. 8 (2026): 1-9. https://doi.org/https://doi.org/10.55041/ijcope.v2i8.018.
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