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International Journal of Creative and Open Research in Engineering and Management

A Peer-Reviewed, Open-Access International Journal Supporting Multidisciplinary Research, Digital Publishing Standards, DOI Registration, and Academic Indexing.
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ISSN: 3108-1754 (Online)
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License: CC BY 4.0
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Volume 02, Issue 10

Published on: October 2026

OPERATIONAL CALCULUS OF THE FOURIER–KONTOROVICH–LEBEDEV TRANSFORM WITH RESIDUE RESONANCE EXTRACTION

Tale A V. A. Sharma Gupta A

Department of Mathematics, Smt. Narsamma Arts, Commerce and Science college, Amravati 444606
DOI:https://doi.org/10.55041/ijcope.v2i10.008

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Abstract

This paper develops an operational framework for a mixed Fourier–Kontorovich–Lebedev (FKF–FKL) transform in which translational dynamics and positive radial or scale variables are treated simultaneously. The formulation is designed for systems in which lead-time oscillations, capacity scales, inventory intensity, vehicle-energy states, and disruption signatures interact across more than one characteristic scale. A distributional setting is introduced so that generalized signals can be paired with weighted testing functions, while the imaginary-order Macdonald kernel supplies the radial spectral coordinate. The paper derives transform, shift, modulation, differential, product, convergence, and inversion relations and then introduces a residue-based procedure for extracting resonant spectral contributions. The mathematical construction is connected to digital twins, resilient logistics, electric mobility, smart transportation, and quantum-assisted optimization. The resulting framework separates spectral detection from operational authorization and provides a mathematical basis for identifying persistent or resonant modes before downstream optimization is invoked.

How to Cite this Paper

A, T., Sharma, V. A. & A, G. (2026). Operational Calculus of the Fourier–Kontorovich–Lebedev Transform with Residue Resonance Extraction. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(10), 1-9. https://doi.org/10.55041/ijcope.v2i10.008

A, Tale, et al.. "Operational Calculus of the Fourier–Kontorovich–Lebedev Transform with Residue Resonance Extraction." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 10, 2026, pp. 1-9. doi:https://doi.org/10.55041/ijcope.v2i10.008.

A, Tale,V. Sharma, and Gupta A. "Operational Calculus of the Fourier–Kontorovich–Lebedev Transform with Residue Resonance Extraction." International Journal of Creative and Open Research in Engineering and Management 02, no. 10 (2026): 1-9. https://doi.org/https://doi.org/10.55041/ijcope.v2i10.008.

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References


  1. Harle SM, “Investigation of Mechanical Behavior of Steel Fiber-Reinforced Geopolymer Concrete Under ulti-Axial Stress Conditions,” Hydraulic and Civil Engineering Technology IX: Proceedings of the 9th International Technical Conference on Frontiers of HCET, Sanya, China, SAGE Publications, 25-27 September pp 555-561 , 2024

  2. Harle SM, “Investigation of Mechanical Behavior of Steel Fiber-Reinforced Geopolymer Concrete Under ulti-Axial Stress Conditions,”  Hydraulic and Civil Engineering Technology IX: Proceedings of the 9th International Technical Conference on Frontiers of HCET, Sanya, China, SAGE Publications, 25-27 September pp 555-561 , 2024

  3. Harle SM, “Comparision of Conventional with Aluminium Formwork System,” Global Journal of Current Research in Urban Architecture and Regional Planning, Global Journal of Current Research in Urban Architecture and Regional Planning, vol 1, 2018/6, Issue 1, Pages 1-15

  4. Harle, SM, & et al, “White Topping In Roads: Review”, Journal of Structural and Transportation Studies, Volume 1, Issue 3, 2016.

  5. Harle, SM, & et al (2024, February). Durability and long-term performance of fiber reinforced polymer (FRP) composites: A review. In Structures (Vol. 60, p. 105881). Elsevier. 15.

  6. Harle, SM, & et al (2024). Advancements and challenges in the application of artificial intelligence in civil engineering: a comprehensive review. Asian Journal of Civil Engineering, 25(1), 1061-1078. 16.

  7. Harle, SM, & et al (2024, August). Advancing seismic resilience: Focus on building design techniques. In Structures (Vol. 66, p. 106432). Elsevier.

  8. Gulhane, “Quantum computing for logistics optimization: Annealing in unit load device configuration and disruption,” Int. J. Res. Publ. Rev., vol. 7, no. 6, pp. 4643–4648, Jun. 2026.

  9. Gulhane, “Smart mobility and intelligent transportation systems: Emerging trends, technologies, and challenges,” IJSREM, vol. 9, no. 11, Nov. 2025.

  10. Gulhane, “Recent advances in electric vehicle battery technologies: Materials, management systems, and sustainability perspectives,” IJSREM, vol. 9, no. 7, Jul. 2025.

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  • •Published on: Oct 08 2026
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