Fractional derivatives, fractional integrals and electromagnetic theory

1999 International Conference on Computational Electromagnetics and its Applications. ICCEA 1999 - Proceedings

Volumn , Issue , 1999, Pages 1-4

  Engheta, Nader ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; COMPUTATION THEORY; COMPUTATIONAL ELECTROMAGNETICS; DIFFERENTIATION (CALCULUS); ELECTRIC FIELDS; ELECTROMAGNETIC FIELDS; ELECTROMAGNETS;

ELECTROMAGNETIC PROBLEMS; ELECTROMAGNETIC THEORIES; FRACTIONAL CALCULUS; FRACTIONAL DERIVATIVES; FRACTIONAL INTEGRALS; FRACTIONAL SOLUTIONS; INTEGRATION OPERATORS; MATHEMATICAL PROPERTIES;

MATHEMATICAL OPERATORS;

EID: 84971326974     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCEA.1999.825051     Document Type: Conference Paper

References (12)

1. 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.
2. 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
3. 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.
4. N. Engheta, "Fractional Curl Operator in Electromagnetics, " in Microwave and Optical Technology Letters. Vol. 17, No. 2, pp. 86-91, February 5, 1998.
5. 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.), 1996, ch. 5, pp. 107132.
6. 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.
7. 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.
8. N. Engheta, "On Fractional Paradigm and Intermediate Zones in Electromagnetism: I. Planar Observation, " in Microwave and Optical Technology Letters. Vol.
9. 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, to appear late 1999.
10. K. B. Oldham and J. Spanier, The Fractional Calculus. Academic Press, New York, 1974.
11. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives. Theory and Applications. Gordon and Breach Science Publishers, Langhorne, Pennsylvania, 1993. (Originally published in Russian by Nauka i Tekhnika, Minsk, 1987).
12. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations. John Wiley & Sons, New York, 1993