Bannister, J.; Gibbs, A.; Hewett, D. P. Acoustic scattering by impedance screens/cracks with fractal boundary: well-posedness analysis and boundary element approximation. (English) Zbl 07504747 Math. Models Methods Appl. Sci. 32, No. 2, 291-319 (2022). MSC: 28A80 65R20 65N38 78A45 78M15 PDF BibTeX XML Cite \textit{J. Bannister} et al., Math. Models Methods Appl. Sci. 32, No. 2, 291--319 (2022; Zbl 07504747) Full Text: DOI OpenURL
Khan, Yasir Maclaurin series method for fractal differential-difference models arising in coupled nonlinear optical waveguides. (English) Zbl 1481.78012 Fractals 29, No. 1, Article ID 2150004, 7 p. (2021). MSC: 78A50 78A40 28A80 45D05 39A36 PDF BibTeX XML Cite \textit{Y. Khan}, Fractals 29, No. 1, Article ID 2150004, 7 p. (2021; Zbl 1481.78012) Full Text: DOI OpenURL
Ciotti, Benjamin; Li, Bo Passing from discrete to continuum models of electrostatic energy. (English) Zbl 1482.78004 SIAM J. Math. Anal. 53, No. 4, 4568-4604 (2021). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A30 28A33 31A05 35R06 PDF BibTeX XML Cite \textit{B. Ciotti} and \textit{B. Li}, SIAM J. Math. Anal. 53, No. 4, 4568--4604 (2021; Zbl 1482.78004) Full Text: DOI OpenURL
Chandler-Wilde, Simon N.; Hewett, David P.; Moiola, Andrea; Besson, Jeanne Boundary element methods for acoustic scattering by fractal screens. (English) Zbl 1475.65209 Numer. Math. 147, No. 4, 785-837 (2021). Reviewer: Thomas Führer (Santiago) MSC: 65N38 65R20 28A80 78A45 78M15 76Q05 PDF BibTeX XML Cite \textit{S. N. Chandler-Wilde} et al., Numer. Math. 147, No. 4, 785--837 (2021; Zbl 1475.65209) Full Text: DOI arXiv OpenURL
Akkermans, Eric; Chen, Joe P.; Dunne, Gerald; Rogers, Luke G.; Teplyaev, Alexander Fractal AC circuits and propagating waves on fractals. (English) Zbl 1454.78009 Ruiz, Patricia Alonso (ed.) et al., Analysis, probability and mathematical physics on fractals. Based on the presentations at the 6th conference, Cornell University, Ithaca, NY, USA, June 2017. Hackensack, NJ: World Scientific. Fractals Dyn. Math. Sci. Arts, Theory Appl. 5, 557-567 (2020). MSC: 78A40 78A55 28A80 94C05 47N70 PDF BibTeX XML Cite \textit{E. Akkermans} et al., Fractals Dyn. Math. Sci. Arts, Theory Appl. 5, 557--567 (2020; Zbl 1454.78009) Full Text: DOI arXiv OpenURL
Hussain, Malik Zawwar; Yousaf, Shama; Arooj, Tayba Simulation and modeling of diffraction pattern of crystallography: a fractal approach. (English) Zbl 1463.78003 Comput. Appl. Math. 39, No. 2, Paper No. 79, 14 p. (2020). MSC: 78A45 82-10 28A80 82D25 PDF BibTeX XML Cite \textit{M. Z. Hussain} et al., Comput. Appl. Math. 39, No. 2, Paper No. 79, 14 p. (2020; Zbl 1463.78003) Full Text: DOI OpenURL
Peña Pérez, Yudier; Abreu Blaya, Ricardo; Bosch, Paul; Bory Reyes, Juan Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains. (English) Zbl 1435.78003 Adv. Math. Phys. 2020, Article ID 4735357, 8 p. (2020). MSC: 78A25 35Q61 35Q41 28A80 46S10 PDF BibTeX XML Cite \textit{Y. Peña Pérez} et al., Adv. Math. Phys. 2020, Article ID 4735357, 8 p. (2020; Zbl 1435.78003) Full Text: DOI OpenURL
Javed, Syed Faizan; Abbas, Musarat; Naqvi, Qaisar Abbas Scattering from a PEC strip buried in non-integer dimensional planar grounded dielectric slab by using Kobayashi potential method. (English) Zbl 1478.78041 Phys. Lett., A 383, No. 11, 1071-1083 (2019). MSC: 78A48 78A45 78A40 28A80 PDF BibTeX XML Cite \textit{S. F. Javed} et al., Phys. Lett., A 383, No. 11, 1071--1083 (2019; Zbl 1478.78041) Full Text: DOI OpenURL
Algehyne, Ebrahem A.; Mulholland, Anthony J. Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scales. (English) Zbl 1471.74040 IMA J. Appl. Math. 84, No. 3, 605-631 (2019). MSC: 74J99 74F15 74S05 78A40 28A80 PDF BibTeX XML Cite \textit{E. A. Algehyne} and \textit{A. J. Mulholland}, IMA J. Appl. Math. 84, No. 3, 605--631 (2019; Zbl 1471.74040) Full Text: DOI OpenURL
Jiang, Zhuozhuo; Yan, Weigen Some two-point resistances of the Sierpinski gasket network. (English) Zbl 1396.05031 J. Stat. Phys. 172, No. 3, 824-832 (2018). MSC: 05C12 28A80 05C10 78A55 PDF BibTeX XML Cite \textit{Z. Jiang} and \textit{W. Yan}, J. Stat. Phys. 172, No. 3, 824--832 (2018; Zbl 1396.05031) Full Text: DOI OpenURL
Chandler-Wilde, Simon N.; Hewett, David P. Well-posed PDE and integral equation formulations for scattering by fractal screens. (English) Zbl 1383.78020 SIAM J. Math. Anal. 50, No. 1, 677-717 (2018). MSC: 78A45 65J05 45B05 28A80 76Q05 PDF BibTeX XML Cite \textit{S. N. Chandler-Wilde} and \textit{D. P. Hewett}, SIAM J. Math. Anal. 50, No. 1, 677--717 (2018; Zbl 1383.78020) Full Text: DOI arXiv OpenURL
Chen, Joe P.; Rogers, Luke G.; Anderson, Loren; Andrews, Ulysses; Brzoska, Antoni; Coffey, Aubrey; Davis, Hannah; Fisher, Lee; Hansalik, Madeline; Loew, Stephen; Teplyaev, Alexander Power dissipation in fractal AC circuits. (English) Zbl 1375.78030 J. Phys. A, Math. Theor. 50, No. 32, Article ID 325205, 20 p. (2017). MSC: 78A55 28A80 94C05 PDF BibTeX XML Cite \textit{J. P. Chen} et al., J. Phys. A, Math. Theor. 50, No. 32, Article ID 325205, 20 p. (2017; Zbl 1375.78030) Full Text: DOI arXiv OpenURL
Gough, John E.; Zhang, Guofeng Classical and quantum stochastic models of resistive and memristive circuits. (English) Zbl 1370.78331 J. Math. Phys. 58, No. 7, 073505, 18 p. (2017). MSC: 78A55 34B45 37L10 37L55 28C20 60H30 81S25 PDF BibTeX XML Cite \textit{J. E. Gough} and \textit{G. Zhang}, J. Math. Phys. 58, No. 7, 073505, 18 p. (2017; Zbl 1370.78331) Full Text: DOI arXiv Link OpenURL
Alonso Ruiz, Patricia Power dissipation in fractal Feynman-Sierpinski AC circuits. (English) Zbl 1370.78330 J. Math. Phys. 58, No. 7, 073503, 16 p. (2017). MSC: 78A55 34B45 37L10 28A80 PDF BibTeX XML Cite \textit{P. Alonso Ruiz}, J. Math. Phys. 58, No. 7, 073503, 16 p. (2017; Zbl 1370.78330) Full Text: DOI arXiv OpenURL
Amour, L.; Lascar, R.; Nourrigat, J. Weyl calculus in QED I. The unitary group. (English) Zbl 1355.81158 J. Math. Phys. 58, No. 1, 013501, 24 p. (2017). MSC: 81V10 81V80 78A35 35S05 47S30 28C20 81Q20 81R30 PDF BibTeX XML Cite \textit{L. Amour} et al., J. Math. Phys. 58, No. 1, 013501, 24 p. (2017; Zbl 1355.81158) Full Text: DOI arXiv OpenURL
Farswan, Akanksha; Gautam, Anil Kumar; Kanaujia, Binod Kumar; Rambabu, Karumudi Design of Koch fractal circularly polarized antenna for handheld UHF RFID reader applications. (English) Zbl 1374.78081 IEEE Trans. Antennas Propag. 64, No. 2, 771-775 (2016). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{A. Farswan} et al., IEEE Trans. Antennas Propag. 64, No. 2, 771--775 (2016; Zbl 1374.78081) Full Text: DOI OpenURL
Li, Yongjiu; Li, Long; Zhang, Yongliang; Zhao, Chunsheng Design and synthesis of multilayer frequency selective surface based on antenna-filter-antenna using Minkowski fractal structures. (English) Zbl 1371.78190 IEEE Trans. Antennas Propag. 63, No. 1, 133-141 (2015). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{Y. Li} et al., IEEE Trans. Antennas Propag. 63, No. 1, 133--141 (2015; Zbl 1371.78190) Full Text: DOI OpenURL
Tarasov, Vasily E. Fractal electrodynamics via non-integer dimensional space approach. (English) Zbl 1364.78009 Phys. Lett., A 379, No. 36, 2055-2061 (2015). MSC: 78A25 28A80 26A33 PDF BibTeX XML Cite \textit{V. E. Tarasov}, Phys. Lett., A 379, No. 36, 2055--2061 (2015; Zbl 1364.78009) Full Text: DOI OpenURL
Tarasov, Vasily E. Electromagnetic waves in non-integer dimensional spaces and fractals. (English) Zbl 1355.78022 Chaos Solitons Fractals 81, Part A, 38-42 (2015). MSC: 78A40 28A80 PDF BibTeX XML Cite \textit{V. E. Tarasov}, Chaos Solitons Fractals 81, Part A, 38--42 (2015; Zbl 1355.78022) Full Text: DOI OpenURL
Algehyne, Ebrahem A.; Mulholland, Anthony J. A finite element approach to modelling fractal ultrasonic transducers. (English) Zbl 1338.35418 IMA J. Appl. Math. 80, No. 6, 1684-1702 (2015). MSC: 35Q74 74F15 78A30 28A80 65N30 PDF BibTeX XML Cite \textit{E. A. Algehyne} and \textit{A. J. Mulholland}, IMA J. Appl. Math. 80, No. 6, 1684--1702 (2015; Zbl 1338.35418) Full Text: DOI Link OpenURL
Yang, Xiao-Jun; Srivastava, H. M.; Baleanu, Dumitru Initial-boundary value problems for local fractional Laplace equation arising in fractal electrostatics. (English) Zbl 1333.35333 J. Appl. Nonlinear Dyn. 4, No. 4, 349-356 (2015). MSC: 35R11 78A30 28D20 PDF BibTeX XML Cite \textit{X.-J. Yang} et al., J. Appl. Nonlinear Dyn. 4, No. 4, 349--356 (2015; Zbl 1333.35333) Full Text: DOI OpenURL
Khamzin, Airat; Nigmatullin, Raoul; Popov, Ivan Justification of the empirical laws of the anomalous dielectric relaxation in the framework of the memory function formalism. (English) Zbl 1312.78007 Fract. Calc. Appl. Anal. 17, No. 1, 247-258 (2014). MSC: 78A48 26A33 33E12 74D05 82D30 82D60 28A80 60G22 PDF BibTeX XML Cite \textit{A. Khamzin} et al., Fract. Calc. Appl. Anal. 17, No. 1, 247--258 (2014; Zbl 1312.78007) Full Text: DOI OpenURL
Balankin, Alexander S.; Mena, Baltasar; Patiño, Julián; Morales, Daniel Electromagnetic fields in fractal continua. (English) Zbl 1428.78009 Phys. Lett., A 377, No. 10-11, 783-788 (2013). MSC: 78A30 28A80 PDF BibTeX XML Cite \textit{A. S. Balankin} et al., Phys. Lett., A 377, No. 10--11, 783--788 (2013; Zbl 1428.78009) Full Text: DOI OpenURL
Iodice, Antonio; Natale, Antonio; Riccio, Daniele Kirchhoff scattering from fractal and classical rough surfaces: physical interpretation. (English) Zbl 1370.78114 IEEE Trans. Antennas Propag. 61, No. 4, Part 2, 2156-2163 (2013). MSC: 78A45 28A80 60G22 74A50 PDF BibTeX XML Cite \textit{A. Iodice} et al., IEEE Trans. Antennas Propag. 61, No. 4, Part 2, 2156--2163 (2013; Zbl 1370.78114) Full Text: DOI OpenURL
Dhar, Sayantan; Ghatak, Rowdra; Gupta, Bhaskar; Poddar, Dipak Ranjan A wideband Minkowski fractal dielectric resonator antenna. (English) Zbl 1370.78234 IEEE Trans. Antennas Propag. 61, No. 6, 2895-2903 (2013). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{S. Dhar} et al., IEEE Trans. Antennas Propag. 61, No. 6, 2895--2903 (2013; Zbl 1370.78234) Full Text: DOI OpenURL
Khamzin, Airat A.; Nigmatullin, Raoul R.; Popov, Ivan I.; Murzaliev, Bektur A. Microscopic model of dielectric \(\alpha\)-relaxation in disordered media. (English) Zbl 1314.82040 Fract. Calc. Appl. Anal. 16, No. 1, 158-170 (2013). MSC: 82D20 78A25 28A80 PDF BibTeX XML Cite \textit{A. A. Khamzin} et al., Fract. Calc. Appl. Anal. 16, No. 1, 158--170 (2013; Zbl 1314.82040) Full Text: DOI OpenURL
Ostoja-Starzewski, Martin Electromagnetism on anisotropic fractal media. (English) Zbl 1276.78002 Z. Angew. Math. Phys. 64, No. 2, 381-390 (2013). Reviewer: Guanggan Chen (Chengdu) MSC: 78A25 28A80 35Q61 35Q60 PDF BibTeX XML Cite \textit{M. Ostoja-Starzewski}, Z. Angew. Math. Phys. 64, No. 2, 381--390 (2013; Zbl 1276.78002) Full Text: DOI arXiv OpenURL
Zarifi, Davoud; Soleimani, Mohammad; Nayyeri, Vahid; Rashed-Mohassel, Jalil On the miniaturization of semiplanar chiral metamaterial structures. (English) Zbl 1370.78328 IEEE Trans. Antennas Propag. 60, No. 12, 5768-5776 (2012). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{D. Zarifi} et al., IEEE Trans. Antennas Propag. 60, No. 12, 5768--5776 (2012; Zbl 1370.78328) Full Text: DOI OpenURL
Behera, Subhrakanta; Vinoy, K. J. Multi-port network approach for the analysis of dual band fractal microstrip antennas. (English) Zbl 1370.78208 IEEE Trans. Antennas Propag. 60, No. 11, 5100-5106 (2012). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{S. Behera} and \textit{K. J. Vinoy}, IEEE Trans. Antennas Propag. 60, No. 11, 5100--5106 (2012; Zbl 1370.78208) Full Text: DOI OpenURL
Oraizi, Homayoon; Hedayati, Shahram Miniaturization of microstrip antennas by the novel application of the giuseppe Peano fractal geometries. (English) Zbl 1369.78492 IEEE Trans. Antennas Propag. 60, No. 8, 3559-3567 (2012). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{H. Oraizi} and \textit{S. Hedayati}, IEEE Trans. Antennas Propag. 60, No. 8, 3559--3567 (2012; Zbl 1369.78492) Full Text: DOI OpenURL
Oraizi, Homayoon; Hedayati, Shahram Circularly polarized multiband microstrip antenna using the square and Giuseppe Peano fractals. (English) Zbl 1369.78491 IEEE Trans. Antennas Propag. 60, No. 7, 3466-3470 (2012). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{H. Oraizi} and \textit{S. Hedayati}, IEEE Trans. Antennas Propag. 60, No. 7, 3466--3470 (2012; Zbl 1369.78491) Full Text: DOI OpenURL
Li, Daotie; Mao, Jun-fa A Koch-like sided fractal bow-tie dipole antenna. (English) Zbl 1369.78462 IEEE Trans. Antennas Propag. 60, No. 5, 2242-2251 (2012). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{D. Li} and \textit{J.-f. Mao}, IEEE Trans. Antennas Propag. 60, No. 5, 2242--2251 (2012; Zbl 1369.78462) Full Text: DOI OpenURL
Khamzin, A. A.; Nigmatullin, R. R.; Popov, I. I. Microscopic model of a non-Debye dielectric relaxation: the Cole-Cole law and its generalization. (English. Russian original) Zbl 1284.82084 Theor. Math. Phys. 173, No. 2, 1604-1619 (2012); translation from Teor. Mat. Fiz. 173, No. 2, 314-332 (2012). MSC: 82D20 78A25 28A80 PDF BibTeX XML Cite \textit{A. A. Khamzin} et al., Theor. Math. Phys. 173, No. 2, 1604--1619 (2012; Zbl 1284.82084); translation from Teor. Mat. Fiz. 173, No. 2, 314--332 (2012) Full Text: DOI OpenURL
Baskin, E.; Iomin, A. Fractional electrostatic equations in fractal composite structures. (English) Zbl 1268.78017 Comput. Math. Appl. 64, No. 10, 3302-3309 (2012). MSC: 78A48 34A08 28A80 74A40 74F15 PDF BibTeX XML Cite \textit{E. Baskin} and \textit{A. Iomin}, Comput. Math. Appl. 64, No. 10, 3302--3309 (2012; Zbl 1268.78017) Full Text: DOI OpenURL
Gevorkyan, A. S.; Abajyan, H. G. On the description of a frustrated classical system within the conception of probability foundations. (English) Zbl 1273.82077 D’Ariano, Mauro (ed.) et al., Foundations of probability and physics – 6. Proceedings of the international conference, Växjö, Sweden, June 14–16, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-1004-6/pbk). AIP Conference Proceedings 1424, 95-104 (2012). MSC: 82D30 82B27 82B44 28A80 82B20 78A30 PDF BibTeX XML Cite \textit{A. S. Gevorkyan} and \textit{H. G. Abajyan}, AIP Conf. Proc. 1424, 95--104 (2012; Zbl 1273.82077) Full Text: DOI OpenURL
Zubair, Muhammad; Mughal, Muhammad Junaid; Naqvi, Qaisar Abbas Electromagnetic fields and waves in fractional dimensional space. (English) Zbl 1244.78001 SpringerBriefs in Applied Sciences and Technology. Berlin: Springer (ISBN 978-3-642-25357-7/pbk; 978-3-642-25358-4/ebook). xviii, 70 p. (2012). Reviewer: Georg Hebermehl (Berlin) MSC: 78-02 78A30 78A25 78A40 78A45 78A50 35Q60 35Q61 35J05 35R11 26A33 28A80 PDF BibTeX XML Cite \textit{M. Zubair} et al., Electromagnetic fields and waves in fractional dimensional space. Berlin: Springer (2012; Zbl 1244.78001) Full Text: DOI OpenURL
Perna, Stefano; Iodice, Antonio Asymptotic behavior of two series used for the evaluation of Kirchhoff diffractals. (English) Zbl 1369.78284 IEEE Trans. Antennas Propag. 59, No. 6, Part 2, 2442-2444 (2011). MSC: 78A45 28A80 41A58 PDF BibTeX XML Cite \textit{S. Perna} and \textit{A. Iodice}, IEEE Trans. Antennas Propag. 59, No. 6, Part 2, 2442--2444 (2011; Zbl 1369.78284) Full Text: DOI OpenURL
Yamatov, R. R.; Krizsky, V. N. Mathematical modeling of geoelectrical fields in piecewise anisotropic quasifractal Julia media. (Russian. English summary) Zbl 1344.78015 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 25(242), No. 9, 43-51 (2011). MSC: 78A46 28A80 78A48 35Q60 35R30 PDF BibTeX XML Cite \textit{R. R. Yamatov} and \textit{V. N. Krizsky}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 25(242), No. 9, 43--51 (2011; Zbl 1344.78015) Full Text: MNR OpenURL
Imaykin, Valery; Komech, Alexander; Spohn, Herbert Scattering asymptotics for a charged particle coupled to the Maxwell field. (English) Zbl 1316.78002 J. Math. Phys. 52, No. 4, 042701, 33 p. (2011). MSC: 78A35 78A60 35C08 78A40 28C20 PDF BibTeX XML Cite \textit{V. Imaykin} et al., J. Math. Phys. 52, No. 4, 042701, 33 p. (2011; Zbl 1316.78002) Full Text: DOI arXiv Link OpenURL
Schelin, A. B.; Caldas, I. L.; Viana, R. L.; Benkadda, S. Collisional effects in the tokamap. (English) Zbl 1255.76161 Phys. Lett., A 376, No. 1, 24-30 (2011). MSC: 76X05 37D45 37J10 78A25 35B36 28A80 PDF BibTeX XML Cite \textit{A. B. Schelin} et al., Phys. Lett., A 376, No. 1, 24--30 (2011; Zbl 1255.76161) Full Text: DOI OpenURL
Bogolyubov, A. N.; Petukhov, A. A.; Shapkina, N. E. Mathematical modeling of waveguides with fractal insets. (English. Russian original) Zbl 1253.78031 Mosc. Univ. Phys. Bull. 66, No. 2, 122-125 (2011); translation from Vest. Mosk. Univ., Ser. III 2011, No. 2, 20-23 (2011). MSC: 78A50 35J05 78M20 65N30 28A80 PDF BibTeX XML Cite \textit{A. N. Bogolyubov} et al., Mosc. Univ. Phys. Bull. 66, No. 2, 122--125 (2011; Zbl 1253.78031); translation from Vest. Mosk. Univ., Ser. III 2011, No. 2, 20--23 (2011) Full Text: DOI OpenURL
Baskin, Emmanuel; Iomin, Alexander Electrostatics in fractal geometry: fractional calculus approach. (English) Zbl 1221.78016 Chaos Solitons Fractals 44, No. 4-5, 335-341 (2011). MSC: 78A30 28A80 PDF BibTeX XML Cite \textit{E. Baskin} and \textit{A. Iomin}, Chaos Solitons Fractals 44, No. 4--5, 335--341 (2011; Zbl 1221.78016) Full Text: DOI arXiv OpenURL
Dominy, Jason; Rabitz, Herschel Volume fractions of the kinematic ‘near-critical’ sets of the quantum ensemble control landscape. (English) Zbl 1226.81078 J. Phys. A, Math. Theor. 44, No. 25, Article ID 255302, 23 p. (2011). Reviewer: Hideo Yamagata (Osaka) MSC: 81Q93 28C10 58C35 53A10 78A37 35Q55 81Q70 PDF BibTeX XML Cite \textit{J. Dominy} and \textit{H. Rabitz}, J. Phys. A, Math. Theor. 44, No. 25, Article ID 255302, 23 p. (2011; Zbl 1226.81078) Full Text: DOI arXiv OpenURL
Garnier, Josselin; Sølna, Knut Fractional precursors in random media. (English) Zbl 1267.78007 Waves Random Complex Media 20, No. 1, 122-155 (2010). MSC: 78A40 76Q05 78A48 28A80 PDF BibTeX XML Cite \textit{J. Garnier} and \textit{K. Sølna}, Waves Random Complex Media 20, No. 1, 122--155 (2010; Zbl 1267.78007) Full Text: DOI Link OpenURL
Jesus, Isabel S.; Tenreiro Machado, J. A. Development of fractional order capacitors based on electrolyte processes. (English) Zbl 1173.78313 Nonlinear Dyn. 56, No. 1-2, 45-55 (2009). MSC: 78A55 78-05 28A80 92E20 PDF BibTeX XML Cite \textit{I. S. Jesus} and \textit{J. A. Tenreiro Machado}, Nonlinear Dyn. 56, No. 1--2, 45--55 (2009; Zbl 1173.78313) Full Text: DOI OpenURL
Yao, Min; Wen, Shuangchun; Lei, Dajun Spatial modulation instability in soft matter. (English) Zbl 1157.78350 J. Mod. Opt. 56, No. 1, 121-125 (2009). MSC: 78A60 35Q51 28A80 PDF BibTeX XML Cite \textit{M. Yao} et al., J. Mod. Opt. 56, No. 1, 121--125 (2009; Zbl 1157.78350) Full Text: DOI OpenURL
Nazemi, A. R.; Farahi, M. H.; Mehne, H. H. Optimal shape design of iron pole section of electromagnet. (English) Zbl 1220.78024 Phys. Lett., A 372, No. 19, 3440-3451 (2008). MSC: 78A30 90C05 28A99 PDF BibTeX XML Cite \textit{A. R. Nazemi} et al., Phys. Lett., A 372, No. 19, 3440--3451 (2008; Zbl 1220.78024) Full Text: DOI OpenURL
Borodachov, S. V.; Hardin, D. P.; Saff, E. B. Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets. (English) Zbl 1145.11059 Trans. Am. Math. Soc. 360, No. 3, 1559-1580 (2008). Reviewer: Uta Freiberg (Canberra) MSC: 49Q10 11K41 28A78 52A40 78A30 PDF BibTeX XML Cite \textit{S. V. Borodachov} et al., Trans. Am. Math. Soc. 360, No. 3, 1559--1580 (2008; Zbl 1145.11059) Full Text: DOI arXiv OpenURL
Franceschetti, Giorgio; Riccio, Daniele Scattering, natural surfaces, and fractals. (English) Zbl 1152.78301 Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-265655-2/hbk). xv, 282 p. (2007). MSC: 78-02 78A45 28A80 78A40 85A99 86A99 PDF BibTeX XML Cite \textit{G. Franceschetti} and \textit{D. Riccio}, Scattering, natural surfaces, and fractals. Amsterdam: Elsevier/Academic Press (2007; Zbl 1152.78301) Full Text: Link OpenURL
Tarasov, Vasily E. Electromagnetic fields on fractals. (English) Zbl 1097.78003 Mod. Phys. Lett. A 21, No. 20, 1587-1600 (2006). MSC: 78A25 28A80 PDF BibTeX XML Cite \textit{V. E. Tarasov}, Mod. Phys. Lett. A 21, No. 20, 1587--1600 (2006; Zbl 1097.78003) Full Text: DOI arXiv OpenURL
Cai, Zhijie; Chen, Deqiang; Lu, Shuai Reconstruction of a fractal rough surface. (English) Zbl 1090.78003 Physica D 213, No. 1, 25-30 (2006). MSC: 78A45 78M25 78A46 28A80 PDF BibTeX XML Cite \textit{Z. Cai} et al., Physica D 213, No. 1, 25--30 (2006; Zbl 1090.78003) Full Text: DOI OpenURL
Yaremko, Yurij Radiation reaction, renormalization and Poincaré symmetry. (English) Zbl 1097.78007 SIGMA, Symmetry Integrability Geom. Methods Appl. 1, Paper 012, 10 p. (2005). Reviewer: Ll. G. Chambers (Bangor) MSC: 78A35 28-02 81V10 70S10 78A40 PDF BibTeX XML Cite \textit{Y. Yaremko}, SIGMA, Symmetry Integrability Geom. Methods Appl. 1, Paper 012, 10 p. (2005; Zbl 1097.78007) Full Text: DOI arXiv EuDML EMIS OpenURL
Karamanos, Kostas Dissipation in weakly polarizable electrodes across irregular boundaries. (English) Zbl 1092.35529 J. Non-Equilibrium Thermodyn. 30, No. 2, 163-171 (2005). MSC: 35Q60 78A35 35J05 28A80 PDF BibTeX XML Cite \textit{K. Karamanos}, J. Non-Equilibrium Thermodyn. 30, No. 2, 163--171 (2005; Zbl 1092.35529) Full Text: DOI OpenURL
Hatano, Naomichi Strong resonance of light in a Cantor set. (English) Zbl 1086.81084 J. Phys. Soc. Japan 74, No. 11, 3093-3111 (2005). MSC: 81V80 78A40 78A97 28A80 PDF BibTeX XML Cite \textit{N. Hatano}, J. Phys. Soc. Japan 74, No. 11, 3093--3111 (2005; Zbl 1086.81084) Full Text: DOI arXiv OpenURL
Vinoy, K. J.; Abraham, Jose K.; Varadan, V. K. Impact of fractal dimension in the design of multi-resonant fractal antennas. (English) Zbl 1109.78317 Fractals 12, No. 1, 55-66 (2004). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{K. J. Vinoy} et al., Fractals 12, No. 1, 55--66 (2004; Zbl 1109.78317) Full Text: DOI OpenURL
Sabot, Christophe Electrical networks, symplectic reductions, and application to the renormalization map of self-similar lattices. (English) Zbl 1066.37052 Lapidus, Michel L. (ed.) et al., Fractal geometry and applications: A jubilee of Benoît Mandelbrot. Analysis, number theory, and dynamical systems. In part the proceedings of a special session held during the annual meeting of the American Mathematical Society, San Diego, CA, USA, January 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3637-4/v.1; 0-8218-3292-1/set). Proceedings of Symposia in Pure Mathematics 72, Pt. 1, 155-205 (2004). MSC: 37N20 34L20 37F10 32H50 53D20 37J15 28A80 37E20 82B44 78A25 PDF BibTeX XML Cite \textit{C. Sabot}, Proc. Symp. Pure Math. 72, 155--205 (2004; Zbl 1066.37052) Full Text: arXiv OpenURL
Wang, Xu-Jia On the design of a reflector antenna. II. (English) Zbl 1065.78013 Calc. Var. Partial Differ. Equ. 20, No. 3, 329-341 (2004). Reviewer: Ömer Kavaklioglu (Washington) MSC: 78A50 78A05 28A50 49Q20 90C05 PDF BibTeX XML Cite \textit{X.-J. Wang}, Calc. Var. Partial Differ. Equ. 20, No. 3, 329--341 (2004; Zbl 1065.78013) Full Text: DOI OpenURL
Werner, Douglas H.; Kuhirun, Waroth; Werner, Pingjuan L. The Peano-Gosper fractal array. (English) Zbl 1368.78094 IEEE Trans. Antennas Propag. 51, No. 8, 2063-2072 (2003). MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{D. H. Werner} et al., IEEE Trans. Antennas Propag. 51, No. 8, 2063--2072 (2003; Zbl 1368.78094) Full Text: DOI OpenURL
Berry, Michael Making light of mathematics. (English) Zbl 1025.78001 Bull. Am. Math. Soc., New Ser. 40, No. 2, 229-237 (2003). MSC: 78-02 28A80 78A45 78A97 41A60 PDF BibTeX XML Cite \textit{M. Berry}, Bull. Am. Math. Soc., New Ser. 40, No. 2, 229--237 (2003; Zbl 1025.78001) Full Text: DOI OpenURL
Kravchenko, V. F. Antenna synthesis on the base of the new class of atomic-fractal functions. (Russian) Zbl 1170.78378 Dokl. Akad. Nauk, Ross. Akad. Nauk 385, No. 6, 754-761 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 78A50 28A80 PDF BibTeX XML Cite \textit{V. F. Kravchenko}, Dokl. Akad. Nauk, Ross. Akad. Nauk 385, No. 6, 754--761 (2002; Zbl 1170.78378) OpenURL
Ramus-Serment, C.; Moreau, X.; Nouillant, M.; Oustaloup, A.; Levron, F. Generalised approach on fractional response of fractal networks. (English) Zbl 0996.28004 Chaos Solitons Fractals 14, No. 3, 479-488 (2002). MSC: 28A80 78A55 PDF BibTeX XML Cite \textit{C. Ramus-Serment} et al., Chaos Solitons Fractals 14, No. 3, 479--488 (2002; Zbl 0996.28004) Full Text: DOI OpenURL
Lannes, David Nonlinear geometrical optics for oscillatory wave trains with a continuous oscillatory spectrum. (English) Zbl 1034.35136 Adv. Differ. Equ. 6, No. 6, 731-768 (2001). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q60 78A60 28B05 35B05 35L45 PDF BibTeX XML Cite \textit{D. Lannes}, Adv. Differ. Equ. 6, No. 6, 731--768 (2001; Zbl 1034.35136) OpenURL
Haba, T. C.; Martos, M.; Ablart, G.; Bidan, P. Electronic components with fractional impedance. (Composants électronique à impédance fractionnaire.) (French) Zbl 0916.28010 ESAIM, Proc. 5, 99-109 (1998). MSC: 28A80 78A55 PDF BibTeX XML Cite \textit{T. C. Haba} et al., ESAIM, Proc. 5, 99--109 (1998; Zbl 0916.28010) Full Text: DOI Link OpenURL
Burq, Nicolas Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) (French) Zbl 0954.35102 Séminaire Bourbaki. Volume 1996/97. Exposés 820-834. Paris: Société Mathématique de France, Astérisque. 245, 167-195, Exp. No. 826 (1997). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 35B27 35A27 35L05 46N20 93B05 78A05 28E99 35L20 PDF BibTeX XML Cite \textit{N. Burq}, in: Séminaire Bourbaki. Volume 1996/97. Exposés 820--834. Paris: Société Mathé\-matique de France. 167--195, Exp. No. 826 (1997; Zbl 0954.35102) Full Text: Numdam EuDML OpenURL
Lapidus, Michel L. Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals. (English) Zbl 0889.58012 Harper, Lawrence H. (ed.) et al., Harmonic analysis and nonlinear differential equations. A volume in honor of Victor L. Shapiro. Proceedings of a conference, Riverside, CA, USA, November 3–5, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 208, 211-252 (1997). MSC: 46L85 46L87 58J50 28A80 35P20 28A12 58J40 58J65 78A40 81Q20 PDF BibTeX XML Cite \textit{M. L. Lapidus}, Contemp. Math. 208, 211--252 (1997; Zbl 0889.58012) OpenURL
Bassein, Susan Order and chaos on your desk. (English) Zbl 0846.58022 Am. Math. Mon. 102, No. 5, 409-416 (1995). Reviewer: G.L.Litvinov (Moskva) MSC: 37E99 78A55 37D45 28D99 34F05 94C99 60G99 PDF BibTeX XML Cite \textit{S. Bassein}, Am. Math. Mon. 102, No. 5, 409--416 (1995; Zbl 0846.58022) Full Text: DOI OpenURL
Beghdadi, A.; Andraud, C.; Lafait, J.; Peiro, J.; Perreau, M. Entropic and multifractal analysis of disordered morphologies. (English) Zbl 1038.94516 Fractals 1, No. 3, 671-679 (1993). MSC: 94A17 28A80 78A99 PDF BibTeX XML Cite \textit{A. Beghdadi} et al., Fractals 1, No. 3, 671--679 (1993; Zbl 1038.94516) Full Text: DOI OpenURL
Arneodo, A.; Argoul, F.; Muzy, J. F.; Pouligny, B.; Freysz, E. The optical wavelet transform. (English) Zbl 0875.42005 Ruskai, Mary Beth (ed.) et al., Wavelets and their applications. Boston, MA etc.: Jones and Bartlett Publishers. 241-273 (1992). MSC: 42C40 28A80 78A55 PDF BibTeX XML Cite \textit{A. Arneodo} et al., in: Wavelets and their applications. Boston, MA etc.: Jones and Bartlett Publishers. 241--273 (1992; Zbl 0875.42005) OpenURL
Mossino, Jacqueline Inégalités isopérimétriques en électrolyse. (Isoperimetric inequalities in electrochemistry). (French) Zbl 0586.49026 C. R. Acad. Sci., Paris, Sér. I 301, 869-871 (1985). MSC: 49Q20 28A75 78A99 35R35 PDF BibTeX XML Cite \textit{J. Mossino}, C. R. Acad. Sci., Paris, Sér. I 301, 869--871 (1985; Zbl 0586.49026) OpenURL
Nelson, Bruce; Sheeks, Benny Path integration for velocity-dependent potentials. (English) Zbl 0509.70012 Commun. Math. Phys. 84, 515-530 (1982). MSC: 70H03 81S40 70G99 28C20 78A25 PDF BibTeX XML Cite \textit{B. Nelson} and \textit{B. Sheeks}, Commun. Math. Phys. 84, 515--530 (1982; Zbl 0509.70012) Full Text: DOI OpenURL
Tamrazov, P. M. Capacities of condensers. The method of mixing signed measures. (English) Zbl 0494.31002 Math. USSR, Sb. 43, 33-62 (1982). MSC: 31A15 30C85 28A10 41A20 78A30 31C15 PDF BibTeX XML Cite \textit{P. M. Tamrazov}, Math. USSR, Sb. 43, 33--62 (1982; Zbl 0494.31002) Full Text: DOI OpenURL