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International Journal of Creative and Open Research in Engineering and Management

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ISSN: 3108-1754 (Online)
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Volume 02, Issue 7

Published on: July 2026

MODELING EV BATTERY DYNAMICS WITH TIME-DELAY FRACTIONAL EQUATIONS

Shinde SM

Dept of Mathematics/ GCOE Latur/ INDIA
DOI:https://doi.org/10.55041/ijcope.v2i7.260

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Abstract

We construct a family of carefully equipped countably multinormed, complete Hausdorff locally convex spaces and their Roumieu- and Beurling-type duals that provide a rigorous framework for distributional Laplace–Stieltjes transforms. Shift operators corresponding to time delays act continuously, while the duals accommodate generalized functions that model sudden disruptions and stochastic lead-time distributions. Extensions to product spaces, negative-time domains and additional parameters yield a flexible setting for Cauchy problems with distributional data.

The framework is applied to eight central problems in supply-chain engineering: inventory systems with stochastic lead times, bullwhip-effect analysis in multi-echelon networks, recovery from singular disruptions, EV battery SoC/SoH dynamics under delay and fractional-order effects, hybrid quantum-classical logistics optimization, real-time digital-twin orchestration, multi-echelon network propagation on graphs, and closed-loop circular-economy reverse logistics. Explicit operational-calculus formulae and stability certificates are derived directly from the seminorm family, establishing well-posedness, quantitative bounds and stable classical–quantum interfaces for resilient, real-time decision support in global supply chains.

Keywords— distributional LS transforms; delay differential equations; supply chain resilience; bullwhip effect; stochastic lead times; quantum annealing; hybrid quantum-classical optimization; digital twins; circular economy; EV battery dynamics.

How to Cite this Paper

SM, S. (2026). Modeling EV Battery Dynamics with Time-Delay Fractional Equations. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(7), 1-9. https://doi.org/10.55041/ijcope.v2i7.260

SM, Shinde. "Modeling EV Battery Dynamics with Time-Delay Fractional Equations." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 7, 2026, pp. 1-9. doi:https://doi.org/10.55041/ijcope.v2i7.260.

SM, Shinde. "Modeling EV Battery Dynamics with Time-Delay Fractional Equations." International Journal of Creative and Open Research in Engineering and Management 02, no. 7 (2026): 1-9. https://doi.org/https://doi.org/10.55041/ijcope.v2i7.260.

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  • •Published on: Jul 29 2026
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