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Fractional Calculus and Mathematics of Fractal Operators

Sample Publications

N. Engheta, "Use of Fractional Integration to Propose Some "Fractional" Solutions for the Scalar Helmholtz Equation," a chapter in Progress in Electromagnetics Research (PIER) Monograph Series Vol. 12 , Jin A. Kong (ed.), pp. 107-132, 1996.

N. Engheta, "Fractional Paradigm in Electromagnetic Theory," a chapter in Frontiers in Electromagnetics, D. H. Werner and R. Mittra (eds.), IEEE Press, chapter 12, pp. 523-552, 2000.

N. Engheta, "A Note on Fractional Calculus and the Image Method for Dielectric Spheres," Journal of Electromagnetic Waves and Applications, Vol. 9, No. 9, pp. 1179-1188, September 1995.

N. Engheta, "On Fractional Calculus and Fractional Multipoles in Electromagnetism," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 4, pp. 554-566, April 1996.

N. Engheta, "Electrostatic "Fractional" Image Methods for Perfectly Conducting Wedges and Cones," in IEEE Transactions on Antennas and Propagation, Vol. 44, No. 12, pp. 1565-1574, December 1996.

N. Engheta, "On the Role of Fractional Calculus in Electromagnetic Theory" a feature article in IEEE Antennas and Propagation Magazine, Vol. 39, No. 4, pp. 35-46, August 1997.

N. Engheta, "Fractional Curl Operator in Electromagnetics," in Microwave and Optical Technology Letters, Vol. 17, No. 2, pp. 86-91, February 5, 1998.

N. Engheta, "Phase and Amplitude of the Fractional-Order Intermediate Wave" in Microwave and Optical Technology Letters, Vol. 21, No. 5, pp. 338-343, June 5, 1999.

N. Engheta, "On Fractional Paradigm and Intermediate Zones in Electromagnetism: I. Planar Observation," in Microwave and Optical Technology Letters, Vol. 22, No. 4, pp. 236-241, August 20, 1999.

N. Engheta, "On Fractional Paradigm and Intermediate Zones in Electromagnetism: II. Cylindrical and Spherical Observations," in Microwave and Optical Technology Letters, Vol. 23, No. 2, pp. 100-103, October 20, 1999