Cardinali, Alessandro Electromagnetic waves in non-local dielectric media: derivation of a fractional differential equation describing the wave dynamics. (English) Zbl 1486.35375 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 71-82 (2021). MSC: 35Q60 35Q82 78A40 82D10 35J05 26A33 35R11 PDFBibTeX XMLCite \textit{A. Cardinali}, SEMA SIMAI Springer Ser. 26, 71--82 (2021; Zbl 1486.35375) Full Text: DOI
Jakubowska-Ciszek, Agnieszka; Walczak, Janusz Frequency method for determining the equivalent parameters of fractional-order elements \(L_{\beta}C_{\alpha}\). (English) Zbl 1427.78014 Malinowska, Agnieszka B. (ed.) et al., Advances in non-integer order calculus and its applications. Proceedings of the 10th international conference on non-integer order calculus and its applications, Bialystok University of Technology, Białystok, Poland, September 20–21, 2018. Cham: Springer. Lect. Notes Electr. Eng. 559, 250-267 (2020). MSC: 78A55 26A33 PDFBibTeX XMLCite \textit{A. Jakubowska-Ciszek} and \textit{J. Walczak}, Lect. Notes Electr. Eng. 559, 250--267 (2020; Zbl 1427.78014) Full Text: DOI
Macias, Michal; Sierociuk, Dominik; Malesza, Wiktor Realization of the fractional variable-order model with symmetric property. (English) Zbl 1427.78015 Malinowska, Agnieszka B. (ed.) et al., Advances in non-integer order calculus and its applications. Proceedings of the 10th international conference on non-integer order calculus and its applications, Bialystok University of Technology, Białystok, Poland, September 20–21, 2018. Cham: Springer. Lect. Notes Electr. Eng. 559, 43-54 (2020). MSC: 78A55 78M99 26A33 PDFBibTeX XMLCite \textit{M. Macias} et al., Lect. Notes Electr. Eng. 559, 43--54 (2020; Zbl 1427.78015) Full Text: DOI
Ghosh Roy, D. N. Mathematics of wavefields. (English) Zbl 1428.35555 Dutta, Hemen (ed.) et al., Applied mathematical analysis: theory, methods, and applications. Cham: Springer. Stud. Syst. Decis. Control 177, 187-231 (2020). MSC: 35Q60 78A45 35J05 76Q05 42A38 35J08 26B20 78A25 PDFBibTeX XMLCite \textit{D. N. Ghosh Roy}, Stud. Syst. Decis. Control 177, 187--231 (2020; Zbl 1428.35555) Full Text: DOI
Schöps, Sebastian; Duque Guerra, David J.; De Gersem, Herbert; Bartel, Andreas; Günther, Michael; Pulch, Roland Non-intrusive methods for the cosimulation of coupled problems. (English) Zbl 1465.65103 ter Maten, E. Jan W. (ed.) et al., Nanoelectronic coupled problems solutions. Cham: Springer. Math. Ind. 29, 131-159 (2019). MSC: 65M60 65M06 78A55 80A19 82D80 35K05 26A33 PDFBibTeX XMLCite \textit{S. Schöps} et al., Math. Ind. 29, 131--159 (2019; Zbl 1465.65103) Full Text: DOI
Gómez-Aguilar, J. F.; Ghanbari, Behzad; Bonyah, Ebenezer On the new fractional operator and application to nonlinear Bloch system. (English) Zbl 1429.34013 Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 137-154 (2019). MSC: 34A08 26A33 78A10 78M99 37N35 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Springer Proc. Math. Stat. 272, 137--154 (2019; Zbl 1429.34013) Full Text: DOI
Garrappa, Roberto; Maione, Guido Fractional Prabhakar derivative and applications in anomalous dielectrics: a numerical approach. (English) Zbl 1428.82075 Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 429-439 (2017). MSC: 82D60 78A25 26A33 82M99 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{G. Maione}, Lect. Notes Electr. Eng. 407, 429--439 (2017; Zbl 1428.82075) Full Text: DOI
Pei, Soo-Chang; Ding, Jian-Jiun Eigenfunctions of the linear canonical transform. (English) Zbl 1334.78026 Healy, John J. (ed.) et al., Linear canonical transforms. Theory and applications. New York, NY: Springer (ISBN 978-1-4939-3027-2/hbk; 978-1-4939-3028-9/ebook). Springer Series in Optical Sciences 198, 81-96 (2016). MSC: 78A40 78A60 42A38 42B10 15A18 33C45 26A33 PDFBibTeX XMLCite \textit{S.-C. Pei} and \textit{J.-J. Ding}, Springer Ser. Opt. Sci. 198, 81--96 (2016; Zbl 1334.78026) Full Text: DOI Link
Bastiaans, Martin J.; Alieva, Tatiana The linear canonical transformation: definition and properties. (English) Zbl 1334.78004 Healy, John J. (ed.) et al., Linear canonical transforms. Theory and applications. New York, NY: Springer (ISBN 978-1-4939-3027-2/hbk; 978-1-4939-3028-9/ebook). Springer Series in Optical Sciences 198, 29-80 (2016). MSC: 78A05 42A38 42B10 81S30 26A33 78-02 15A23 PDFBibTeX XMLCite \textit{M. J. Bastiaans} and \textit{T. Alieva}, Springer Ser. Opt. Sci. 198, 29--80 (2016; Zbl 1334.78004) Full Text: DOI
Nikolova, Yanka About the solution of the fractional Coulomb equation. (English) Zbl 1307.78007 Kiryakova, Virginia (ed.), Complex analysis and applications ’13. Proceedings of the international conference, CAA ’13, Sofia, Bulgaria, October 31 – November 2, 2013. Dedicated to the 100th anniversary of Academician Ljubomir Iliev. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics (ISBN 978-954-8986-38-0). 159-165 (2013). MSC: 78A35 26A33 35R11 44A10 44A15 PDFBibTeX XMLCite \textit{Y. Nikolova}, in: Complex analysis and applications '13. Proceedings of the international conference, CAA '13, Sofia, Bulgaria, October 31 -- November 2, 2013. Dedicated to the 100th anniversary of Academician Ljubomir Iliev. Sofia: Bulgarian Academy od Sciences, Institute of Mathematics and Informatics. 159--165 (2013; Zbl 1307.78007) Full Text: Link
Kempfle, S.; Krüger, K.; Schäfer, I. Fractional modeling and applications. (English) Zbl 1181.26017 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 301-309 (2009). MSC: 26A33 34G10 47A60 78A25 PDFBibTeX XMLCite \textit{S. Kempfle} et al., in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 301--309 (2009; Zbl 1181.26017)
Machado, J. A. Tenreiro; Jesus, Isabel S.; Galhano, Alexandra; Boaventura Cunha, J.; Tar, J. K. Electrical skin phenomena: a fractional calculus analysis. (English) Zbl 1134.78004 Sabatier, J. (ed.) et al., Advances in fractional calculus. Theoretical developments and applications in physics and engineering. Dordrecht: Springer (ISBN 978-1-4020-6041-0/hbk; 978-1-4020-6042-7/e-book). 323-332 (2007). MSC: 78A25 26A33 PDFBibTeX XMLCite \textit{J. A. T. Machado} et al., in: Advances in fractional calculus. Theoretical developments and applications in physics and engineering. Dordrecht: Springer. 323--332 (2007; Zbl 1134.78004) Full Text: DOI
Torre, A. The fractional Fourier transform: Theory and applications. (English) Zbl 1018.42002 Dattoli, Giuseppe (ed.) et al., Advanced special functions and integration methods. Proceedings of the workshop, Melfi, Italy, June 18-23, 2000. Rome: Aracne Editrice. Proc. Melfi Sch. Adv. Top. Math. Phys. 2, 113-141 (2001). MSC: 42A38 78A10 26A33 81V80 94A13 PDFBibTeX XMLCite \textit{A. Torre}, Proc. Melfi Sch. Adv. Top. Math. Phys. 2, 113--141 (2001; Zbl 1018.42002)
Vaudon, Patrick A representation of the edge diffracted field with the help of a non integer derivative. (English) Zbl 0962.78009 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 538-542 (2000). MSC: 78A45 26A33 PDFBibTeX XMLCite \textit{P. Vaudon}, in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 538--542 (2000; Zbl 0962.78009)