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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 9

Published on: September 2026

TWO-SIDED FKF AND FKL TRANSFORMS FOR CONSTRAINED RESILIENCE IN FRACTIONAL EV BATTERY DYNAMICS

Shubham S Shinde S

Department of Mathematics

Government College of Engineering, Karad, Maharashtra, India

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Plagiarism Passed Peer Reviewed Open Access

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Abstract

This paper reconstructs a distributional operational calculus around two-sided Fourier–kernel fractional (FKF) transforms and companion Fourier–kernel Laplace (FKL) transforms. The associated testing-function spaces are countably multinormed, complete, and Hausdorff. Sequential convergence makes time-shift operators continuous and places singular disruptions, stochastic lead-time laws, and residue-based resonances inside duals of Roumieu and Beurling type. The same topology is used as a certified interface among classical simulators, digital twins, hash-chain provenance layers, and hybrid quantum-classical solvers. Inventory balance with delayed replenishment, bullwhip variance, constrained resilience aftershocks, lithium-ion state-of-charge and state-of-health with fractional memory, QUBO encodings of unit-load-device configuration, real-time digital-twin orchestration, graph delay systems, and closed-loop reverse flows in green logistics are treated in one language. An S-curve of fill-rate recovery is derived from the seminorm family, and professional-format identities convert delay-differential and fractional models into algebraic statements in the transform domain.

Keywords— FKF transform; FKL transform; digital twin; green logistics; quantum annealing; QUBO; EV battery; constrained resilience; blockchain traceability.

How to Cite this Paper

S, S. & S, S. (2026). Two-Sided FKF and FKL Transforms for Constrained Resilience in Fractional EV Battery Dynamics. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(9), 1-9. https://doi.org/10.55041/ijcope.v2i9.026

S, Shubham, and Shinde S. "Two-Sided FKF and FKL Transforms for Constrained Resilience in Fractional EV Battery Dynamics." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 9, 2026, pp. 1-9. doi:https://doi.org/10.55041/ijcope.v2i9.026.

S, Shubham, and Shinde S. "Two-Sided FKF and FKL Transforms for Constrained Resilience in Fractional EV Battery Dynamics." International Journal of Creative and Open Research in Engineering and Management 02, no. 9 (2026): 1-9. https://doi.org/https://doi.org/10.55041/ijcope.v2i9.026.

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References


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  • Published on: Sep 05 2026
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