Book Chapters
Journal Publications
Conference Papers
Book Chapters:
1. E.I. Veliev and V.V.Veremey. “Numerical-Analytical approach for the solution to the wave scattering by polygonal cylinders and flat strip structures”. Analytical and Numerical Methods in Electromagnetic Wave theory, Hashimoto M., Idemen M. and Tretyakov O.A., Eds., Chap.10, Science House , 1993.
2. E.I. Veliev, M.V. Ivakhnichenko, T.M. Ahmedov. Fractional Operators Approach and Fractional Boundary Conditions. Chapter 6. Book: Electromacnetic Waves, Edited by: Vitaliy Zhurbenko. 2011, p.510.
3. Тураб Ахмедов, Эльдар Велиев. Дробные производные в граничных задачах электродинамики. LAP LAMBERT Academic Publishing, 2015, 272 стр. (
https://www.ljubljuknigi.ru/store/ru/book/isbn/978-3-659-75277-3)
Journal Publications:
The papers indicated with (*) are in Russian in
DAN Ukr. SSR-A = Doklady Akademii Nauk Ukrainskoy SSR, serie A,
IAN AzSSR=lzvestia Akademii Nauk Azerbaijanskoy SSR.
All the others are in English in Soviet translation journals entitled:
SPD = Soviet Physics Doklady,
SP-TP = Soviet Physics Technical Physics,
PQE = Radiophysics and Quantum Electronics,
SJCTE = Soviet J. of Communications Technology and Electronics (former REEP = Radio Engineering and Electronics Physics).
- E.I Veliev, V.G Sologub and V.P Shestopalov. “Diffraction of H-polarized plane electromagnetic wave on a grating of unclosed circular cylinders,” Reports of the Ukrainian Academy of Sciences, Series A, 1976, № 3.
- E.I Veliev, A.I Nosich and VP Shestopalov. “The theory of slotted wave,” Reports of the Academy of Sciences of the Ukrainian SSR, Series A, 1976, № 10.
- E.I Veliev and V.P Shestopalov. “On the diffraction effect observed on the grating of unclosed circular cylinders,” Technical Physics Letters, 1977, Volume 3, № 6.
- E.I Veliev and V.P Shestopalov. “Diffraction of waves on a grating of unclosed circular cylinders.” Journal of Computational Mathematics and Mathematical Physics, 1977, v.17, № 5.
- E.I Veliev,A.I Nosich and V.P Shestopalov. “The propagation of electromagnetic waves in a circular waveguide with longitudinal slits.” Radio Engineering and Electronics, 1977, No.3.
- E.I Veliev, A.I Nosich and V.P Shestopalov. “Diffraction radiation flux of electrons over the grating of the longitudinal slit cylinders”, Proceedings of the universities, “Radio”, 1977, v. 20, № 3.
- E.I Veliev and V.P Shestopalov. “Diffraction of waves on a circular cylinder with a longitudinal slit (long-wave approximation for the gap of any size),” Reports of the Ukrainian Academy of Sciences, Series A, 1978, № 5.
- E.I Veliev and V.P Shestopalov. “The effect of total reflection of a small capacitive slotted cylinder.” Technical Physics Letters, 1979, V. 5, No 3.
- E.I Veliev and V.P Shestopalov. “The effect of anomalous radiation from a circular array of cylinders with longitudinal slits,” Technical Physics, 1979, t.49, № 8.
- 9.E.I Veliev and V.P Shestopalov. “Scattering H1o-wave rectangular waveguide is a cylinder with a longitudinal slit.” Technical Physics, 1979, v. 49, № 6.
- E.I Valiev and V.P Shestopalov. “Excitation of a circular array of cylinders with longitudinal slits,” Izv. Universities Radio, 1980, T. 23, № 2.
- E.I. Valiev and V.P Shestopalov. “The effect of complete long-wavelength plane-wave reflection grating of cylindrical strips”, Technical Physics Letters, 1980, Vol 6, № 21.
- E.I Veliev and V.P Shestopalov. “Excitation of a circular array of cylinders with longitudinal slits,” Izv. Universities Radio, 1980, T. 23, № 2.
- E.I. Veliev and V.P Shestopalov. “The effect of complete long-wavelength plane-wave reflection grating of cylindrical strips”, Technical Physics Letters, 1980, Vol 6, № 21.
- E.I Veliev, V. Veremey, A.I Nosich and V.P Shestopalov. “Trapped,” the effect of irradiation unlatched the screen given the source, “Izv. Universities Radio, 1982, V. 25, № 4.
- E.I Veliev, V. Veremey and V.P Shestopalov. “Solving the problem of diffraction on a finite grating of a large number of elements,” Reports of the Ukrainian Academy of Sciences, Series A, 1982, № 6.
- E.I Veliev, V. Veremey and V.P Shestopalov. “Anomalous scattering of waves by a finite number of cylinders of small wave dimensions with a longitudinal slit “, Technical Physics Letters, 1982, Vol 8, № 22.
- V.P Androsov, E.I Valiev and A.A. Werth. “Polarization and spectral characteristics of open resonators with internal unhomogeneous object”, Izv. Universities Radio, 1983, T. 26, № 3.
- E.I Veliev, A.G Kovalenko, G. Flakes and V.P Shestopalov, “Experimental investigation of the electrodynamic properties of an open-ended cylinder in a rectangular waveguide,” Radio Engineering and Electronics, 1983, T. 28, № 6.
- T.M. Akhmedov, E.I Veliev. “Solution of a class of dual integral equations in problems of diffraction theory,” Reports of the Ukrainian Academy of Sciences, Series A, 1983, № 3.
- T.M. Akhmedov, E.I Veliev. “The solution of dual integral equations in the problem of E-polarized electromagnetic wave on a flat strip,” Proceedings of the Academy of Sciences of Azerbaijan SSR, 1983, Volume 4, № 5.
- T.M. Akhmedov, E.I Veliev. “Solution of electromagnetic wave diffraction on a system of flat belts,” Proceedings of the Academy of Sciences of Azerbaijan SSR, 1984, Vol 5, № 4.
- E.I Veliev, V. Veremey and V.P Shestopalov. “The main characteristics of small-sized antenna unclosed cylindrical screens,” Izv. Universities Radio, 1984, T. 27, № 6.
- E.I Veliev. “Diffraction of electromagnetic waves on a lattice from a partially screened dielectric bars circular cross-section,” DAN USSR, Series A, 1985, № 1.
- E.I Veliev. “Solution of a class of paired summation equations in diffraction theory,”Reports of the Ukrainian Academy of Sciences, Series A, 1985, № 2.
- V.P Androsov, E.I Veliev, A.A. Werth, “Focusing properties of a diffraction grating inside the open cavity,” Izv. Universities Radio, 1985, T. 28, № 5.
- V.P Androsov, E.I Veliev, A.A. Werth. “” Lens “features an open resonator with inhomogeneity represented by plane-parallel to bed.” Ukrainian Journal of Physics, 1985, T. 30, № 8.
- E.I Veliev. “The theory of 2-D diffraction by polygonal cylinder,” DAN USSR, Series A , 1985, T. 285, № 2.
- E.I Valiev and V.P Shestopalov. “Diffraction of waves on the re-intersecting circular cylindrical bodies,” DAN USSR, Series A, 1985, T. 282, № 5.
- E.I Veliev. “Diffraction of waves by a polygonal cylinder formed by the intersection of the planes of circular cylinders,” DAN USSR, Series A, 1985, № 10.
- V.P Androsov, E.I Veliev, A.A. Werth and I.K. Kuzmichev.
“A study of the spatial distribution of polarized perpendicular to the field inside an open resonator,” Radio Engineering and Electronics, 1986, T. 31, № 3 - E.I Veliev, V. Veremey and V.P Shestopalov. “Far-field radiation pattern of the resonant scatterers,” Izv. Universities Radio, 1987, T. 30, № 10.
- E.I Veliev, V. Veremey and V.P Shestopalov. “Diffraction of waves on a rectangular cylinder.” Radio Engineering and Electronics, 1988, T. 33, № 3.
- E.I Veliev and V.P Shestopalov. “A general method for solving the dual integral equations”, DAN SSSR, 1988, T. 300, № 4.
- E.I Veliev and V.P Shestopalov. “Diffraction of waves on a flat strip of finite thickness,” DAN SSSR, 1988, T. 301, № 3.
- 36. E.I Veliev and V.P Chumachenko. “Semi-inversion method and the method of partial domains in problems of wave diffraction by polygonal cylindrical bodies,” Dokl, Series A, 1990, № 1.
- B.M. Bulgakov, E.I Veliev, V. Veremey, A.M. Fursov and V.P Shestopalov. “The effect of interaction between the fields of open resonance systems with conducting rectangular cylinders,” Radio Engineering and Electronics, 1990, T. 60, № 6
- E.I. Veliev and V.N. Vavilov. “Electromagnetic wave diffraction by cylindrical bodies With Edges”, Electromagnetics, 1993, vol.13, No.3.
- E.I. Veliev, V.V. Veremey, H.Matsushima. “Electromagnetic wave diffraction by conducting flat strips”. Trans. IEE Japan, 1993,Vol. 113-A, No.3.
- A.A. Chukhlantsev, A.H.Serbest, E.I.Veliev. “Angular and Seasonal Dependencies of the Backscattering coefficients from vegetation at 35 Ghz”, Turkish Journal o Physics, vol. 19, no.8, pp.970-975, 1995.
- E.I. Veliev and A. Oksasoglu. “Bessel functions series in two dimensional diffraction problems”, Journal of Electromagnetic Waves and Applications, vol. 10,No.4, pp.493-507,1996.
- E.I. Veliev “Plane wave diffraction by a half-plane: a new analytical approach”. Journal of Electromagnetic Waves and Applications, vol. 13, pp 1437-1451, 1999.
- E.I. Veliev, T.Ikiz, S.Koshikava, K.Kobayashi, H.Serbest. Solution of the plane wave diffraction problem by an impedance strip using a nume”rical-analytical method: e-polarized case”, Journal of Electromagnetic Waves and Applications, 2001, V.15, No3,pp.315-340.
- E.I Veliev, T.M. Akhmedov. “Fractional solution of the Helmholtz equation – a new idea,” Reports of Azerbaijan Academy of Sciences, T. LXVI, № 4, ss. 20-27, 2005.
- E.I Veliev, T.M. Akhmedov. “Fractional boundary conditions in problems of diffraction theory,” Reports of the National Academy of Sciences of Azerbaijan, V. LXVII, № 3-4, ss. 3-10, 2006.
- E.I.Veliev, M.V. Ivakhnychenko, T.M.Ahmedov. “FRACTIONAL OPERATORS APPROACH IN ELECTROMAGNETICWAVE REFLECTION PROBLEMS”, J. of Electromagnetic Waves and Applications, Vol. 21, No. 13, pp.1787 – 1802, 2007.
- E.I. Veliev, M.V. Ivakhnychenko, T.M.Ahmedov. “Fractional boundary conditions in plane wave diffraction on a strip”, Progress in Electromagnetics Research, PIER 79, 443- 462, 2008.
- E.I. Veliev, M.V. Ivakhnychenko, T.M. Ahmedov. “Scattering properties of the strip with fractrional boundary conditions and comparison with impedance strip”, Progress in Electromagnetics Research C, Vol. 2, 189-205.
- E.I.Veliev, T.M.Ahmedov, M.V.Ivahnichenko. The boundary conditions with fractional derivatives in problems of diffraction theory. Reports of the National Academy of Sciences of Azerbaijan, 2009, Cild LXV, № 2, pp. 61-68.
- E.I Veliev, MV Ivahnichenko, TM Akhmedov, A description of the boundaries in scattering problems by means of fractional operators. Radio Physics and Electronics, 2009, t.14, p.133-141.
- Akhmedov T.M, E.I Veliev The problem of diffraction of waves on poluploskoti with fractional boundary conditions. Reports of the National Academy of Sciences of Azerbaijan, 2009, Vol LXV, № 4, p.3-9.
- E.I. Veliev, Akhmedov, T. Method for solving problems of wave diffraction on flat screens with fractional boundary conditions. Physics, 2009, T. XV, № 4, p. 106-112.
- E.I. Veliev, M.V. Ivakhnichenko, and T.M. Ahmedov. Application of Fractional Operators to Describing Boundaries in the Scattering Problems. Telecommunications and Radio Engineering. 2010, V. 69, No 8, pp.653-668.
- E.I. Veliev, M.V. Ivakhnichenko, T.M. Ahmedov. Fractional green’s function and fractional boundary conditions in diffraction of electromagnetic waves on plane screens. Azerbaijan Journal of Mathematics. 2011, V.1, No 1, pp.85-99.
- Numerical-analytical methods for solving integral equations in two-dimensional problems of the theory of diffraction / E. I. Veliyev // Bulletin of National Technical University «KhPI» Series: Mathematical modeling in engineering and technologies. – Kharkiv : NTU «KhPI», 2017. – №6 (1228). – pp. 21 – 28. Bibliog.: 11 titles. – ISSN 2222-
- About the rollup of Schlomilch series – new representation / Veliev E.I. // Herald of the National Technical University “KhPI”. Subject issue: Information Science and Modelling. – Kharkov: NTU “KhPI”. – 2017. – №. 50 (1271). – P. 5 – 24.
Conference Papers
1. E.I.Veliev, V.V.Veremey and V.P.Shestopalov “Electromagnetic wave diffraction on polygonal cylinders – new approach”. Proceedings of the 1989 URSI International Symposium on Electromagnetic Theory. Sweden, Stockholm, p.620, 1989.
2. E.I.Veliev and V.V. Veremey. “Rectangular cylinder in a stationary wave modelling open resonator field.” The 3rd Asia-Pacific Microwave Conference Proceedings, Tokyo, Japan, 1990, p.1179.
3. V.N Vavilov, E.I Veliev, V. Veremey and V.P Shestopalov. “An efficient method for solving the problem of wave diffraction on cylindrical screens,” ibid, 1990, T. 313, № .5.
4. E.I.Veliev and V.V. Vavilov. “Electromagnetic scattering from complicated cylindrical bodies”. Abstracts, XXIII General Assembly of the International union of radio science (URSI), Prague, Czechoslovakia, 1990, v.2, p.388.
5. V.N. Vavilov, E.I.Veliev and V.V. Veremey. “Electromagnetic wave diffraction by complicated cylindrical body”. The 3rd Asia-Pacific Microwave Conference Proceedings, Tokyo, Japan, 1990, p.527
6. E.I.Veliev. “Numerical-Analitical methods of solution of Integral equations on two-dimensional diffraction problems”. Lecture notes. International school-seminar – Mathematical Methods in Electromagnetic Theory, Gurzuf, USSR,pp. 73-83,1990
7. E.I.Veliev, V.N. Vavilov and V.V.Veremey. “Electromagnetic wave diffraction by cylinder with ogival cross section”. Lecture notes. Inter. school-seminar-Math. in Elect. Theory, Gurzuf, USSR, pp.163-167,1990
8. E.I.Veliev, V.N. Vavilov and V.V.Veremey. “Electromagnetic wave diffraction by cylinder with ogival cross section”. Lecture notes. Inter. school-seminar-Math. in Elect. Theory, Gurzuf, USSR, pp.163-167,1990
9. E.I. Veliev and V.N. Vavilov. “The properties of Wave Scattering by Polygonal Cylinders and Other Resonance Scatterers”.Lecture notes, Inter, seminar/workshop on Analy. and Numer. Meth. in Electr. Wave-Theory, Adana, Turkey, pp.274-288,1991.
10. E.I. Veliev and V.N. Vavilov. “The effective method for solution of the problem of diffraction on unclosed cylindrical screen”. Proceedings of International Conference on Computation in Electromagnetics, London, UK, pp. 296-300, 1991.
11. E.I.Veliev. “Scattering of plane E-polarized wave by a half-plane and structures modelled via its using: new approach to the problem”. Proceedings of the 1992 Inter. Symposium on Antennas and Propagation, Sapporo, Japan, pp.233-237,1992.
12. E.I.Veliev and V.N. Vavilov. “The method of the orthogonal polynomials in wave diffraction theory by thin cylindrical screen”. Proceedings of ISAP’92, Sapporo, Japan, pp.65-69,1992.
13. E.I.Veliev. “Numerical-Analytical methods in diffraction theory boundary-value problems”. Proceedings of Japan National Electromagnetic Theory Meeting, Mikawa, Japan, EMT-92-18,. pp. 23-27,1992.
14. E.I. Veliev and T.Ikiz. “Numerical-analytical methods for solving the wave diffraction problem on impedance strip”.Abstracts XXIVth General Assembly of the URSI, Kioto, Japan pp.81,1993
15. E.I. Veliev and T.Ikiz. “Scattering of plane waves by an impedance strip: E-polarization case”. Joint ICAA/EESC Conference Proceedings, Torino, Italy, pp. 311-313, 1993.
16. E.I. Veliev, K.Kobayshi, T.Ikiz and Sh. Koshikawa “Plane Wave Diffraction by a Resistive Strip”, Proceedings of 1996 International Conference on MMET, Kharkov, Ukraine, pp. 354 – 357.
17. E.I. Veliev, K.Kobayashi, T.Toda and Sh. Koshikawa. “Analytical-Numerical Approach for the Solution of the Diffraction by a Thin Dielectric Strip” Proceedings of the 1997 IEICE General Conference, Kansai University, Suita, Japan, p.40,1997.
18. E.I.Veliev, K.Kobayashi, M.Ogata and Sh. Koshikawa. “Plane Wave Diffraction by a Strip with Different Surface Impedances: Solution by the Analytical-Numerical Approach”. Proceedings of the 1997 Electronics Society Conference of IEICE, Waseda University, Tokyo, Japan, p.16,1997.
19. E.I. Veliev, K.Kobayashi, M.Ogata, S.Koshikawa. “Diffraction by a strip with different surface impedances: solution by the analytical-numerical approach. Proceedings of the International Symposium on Electromagnetic Theory of 1URS, Thessaloniki, Greece, 1998.
20. E.I. Veliev, K.Kobayashi, M.Ogata and S.Koshikawa. “Diffraction by a strip with different surface impedances: the case of H polarization”. Proceedings of 1998 International Conference on MMET, Kharkov, Ukraine, pp. 727-730,1998.
21. Eldar I. Veliev, Vladimir M. Onufrienko. “Fractal electrical and magnetical radiators”. Proceedings of the Third International Kharkov Symposium “Physics and Engineering of Millimeter and Submillimeter Waves”, Kharkov, Ukraine, pp. 357-360, 1998.
22. E.I. Veliev, V.M. Onufriyenko. “Electromagnetic Theory Radiation of Electrical and Magnetic Fractal Surface Currents”, Proceedings of the ISAP 2000, Fukuoka, Japan, ppl319-1322, 2000.
23. E.I. Veliev, K. Kobayashi, S.Koshikava. “Diffraction of a Plane Wav by a Thin Material Strip: Solution by the Analytical-Numerical Approach”. Proceedings of 2000 International Conference on MMET, Kharkov, Ukraine, ppl78-182, 2000.
24. E.I. Veliev, V.M. Onufriyenko. “Mathematical Model of a Spherical Fractal Emitter”. Proceedings of 2000 International Conference on MMET, Kharkov, Ukraine, pp325-328,2000.
25. E.I. Veliev, N. Engheta. Generalization of Green’s theorem with Fractional differintegration. IEEE AP-S international symposium & USNC/URSI National radio science meeting: 22-27 June 2003, conf. Proc.- Ohio, USA, p.228, 2003.
26. T. M. Ahmedov, E. I. Veliev, M. V. Ivaknychenko. Fractional solutions of Helmholtz equation in skattering problems. MSMW,04 Symposium Proceedings. Kharkov, Ukraina, June 21-26, p. 910-912, 2004.
27. E.I.Veliev, N. Engheta. Fractional curl operator in reflection problems. Proceedings of 2004 International Conference on MMET, Dniepropetrovsk, Ukraine, Sept.14-17, 2004, pp.228-230.
28. T.M. Ahmedov, E. I. Veliev, M.V. Ivakhnychenko. New generalized electromagnetic boundaries: fractional operators approach. The 11 International Conference on Mathematical Methods in Electromagnetic Theory. Kharkov, Ukraina, June 26-29, 2006.
29. T. M. Ahmedov, E. I. Veliev, M. V. Ivakhnychenko. Fractional operators approach in wave propagation, reflection and radiation problems. Proceedings of IVth International workshop on Electromagnetic Wave Scattering, September 18-22, 2006, Gebze, Turkey
30. E.I. Veliev, M.V. Ivakhnychenko, T.M.Ahmedov. “Fractional boundary conditions in plane wave diffraction on a strip”, Progress in Electromagnetics Research, PIER 79, 443- 462, 2008.
31. E.I. Veliev, M.V. Ivakhnychenko, T.M. Ahmedov. Fractional boundary conditions in scattering problems. The 12th International Conference on Mathematical Methods in Electromagnetic Theory. Odessa, Ukraine, June 29-July 02, 2008.
32. E.I. Veliev, M.V. Ivakhnychenko. Scattering Properties of the Strip with Fractional Boundary Conditions. V-th International Workshop on Electromagnetic Wave Scattering. Antalya, Turkey, October 22-25, 2008.
33. E.I. Veliev, M.V. Ivakhnichenko, T.M. Ahmedov. Diffraction by an Impedance Strip: A New Presentation Based on Physical Optics Approach. PIERS(Progress In Electromagnetics Researc Symposium), Abstracs, Moscow, Russia, August 18-21, 2009, p.615.
34. Akhmedov T.M, E.I Veliev. Fractional integro-differential equations in the theory of diffraction. Int. conference. of Math. and fur. Dedicated. IMM of ANAS 50, 2009, p. 93-94.