Li, Xuejun; Mou, Jun; Cao, Yinghong; Banerjee, Santo An optical image encryption algorithm based on a fractional-order laser hyperchaotic system. (English) Zbl 07491278 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250035, 25 p. (2022). MSC: 78A60 94A05 42A38 26A33 35R11 35Q60 PDF BibTeX XML Cite \textit{X. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250035, 25 p. (2022; Zbl 07491278) Full Text: DOI OpenURL
Capdeboscq, Yves; Vogelius, Michael S. On optimal cloaking-by-mapping transformations. (English) Zbl 07488295 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 303-316 (2022). MSC: 26B10 78A46 PDF BibTeX XML Cite \textit{Y. Capdeboscq} and \textit{M. S. Vogelius}, ESAIM, Math. Model. Numer. Anal. 56, No. 1, 303--316 (2022; Zbl 07488295) Full Text: DOI arXiv OpenURL
El-Nabulsi, Rami Ahmad; Anukool, Waranont Acceleration in quantum mechanics and electric charge quantization. (English) Zbl 07501724 Mod. Phys. Lett. A 36, No. 26, Article ID 2150185, 10 p. (2021). MSC: 81Q05 83-XX 81Q65 81V10 78A20 81S08 26D10 70S15 PDF BibTeX XML Cite \textit{R. A. El-Nabulsi} and \textit{W. Anukool}, Mod. Phys. Lett. A 36, No. 26, Article ID 2150185, 10 p. (2021; Zbl 07501724) Full Text: DOI OpenURL
Mota, R. D.; Ojeda-Guillén, D.; Salazar-Ramírez, M.; Granados, V. D. Exact solutions of the 2D Dunkl-Klein-Gordon equation: the Coulomb potential and the Klein-Gordon oscillator. (English) Zbl 07501706 Mod. Phys. Lett. A 36, No. 23, Article ID 2150171, 16 p. (2021). MSC: 81Q05 78A25 35B05 34C15 26A24 PDF BibTeX XML Cite \textit{R. D. Mota} et al., Mod. Phys. Lett. A 36, No. 23, Article ID 2150171, 16 p. (2021; Zbl 07501706) Full Text: DOI OpenURL
Rabinovich, V. S. Dirac operators with singular potentials supported on unbounded surfaces in \(\mathbb{R}^3 \). (English. Russian original) Zbl 07483026 Funct. Anal. Appl. 55, No. 3, 245-249 (2021); translation from Funkts. Anal. Prilozh. 55, No. 3, 85-90 (2021). MSC: 81Q05 81R25 81R20 26A30 47B25 47A10 78A30 46F10 PDF BibTeX XML Cite \textit{V. S. Rabinovich}, Funct. Anal. Appl. 55, No. 3, 245--249 (2021; Zbl 07483026); translation from Funkts. Anal. Prilozh. 55, No. 3, 85--90 (2021) Full Text: DOI OpenURL
Liao, Xiaozhong; Lin, Da; Dong, Lei; Ran, Manjie; Yu, Donghui Analog implementation of fractional-order electric elements using Caputo-Fabrizio and Atangana-Baleanu definitions. (English) Zbl 1482.78009 Fractals 29, No. 7, Article ID 2150235, 14 p. (2021). Reviewer: Makrina Agaoglou (Bristol) MSC: 78A55 78-05 78M99 94C05 44A10 26A33 34A08 65L05 PDF BibTeX XML Cite \textit{X. Liao} et al., Fractals 29, No. 7, Article ID 2150235, 14 p. (2021; Zbl 1482.78009) Full Text: DOI OpenURL
Dai, Chao-Qing; Wu, Gangzhou; Li, Hui-Jun; Wang, Yue-Yue Wick-type stochastic fractional solitons supported by quadratic-cubic nonlinearity. (English) Zbl 1481.78020 Fractals 29, No. 7, Article ID 2150192, 11 p. (2021). MSC: 78A60 78A40 35C08 35B36 33E12 60G22 60H40 35Q55 35R60 26A33 35R11 PDF BibTeX XML Cite \textit{C.-Q. Dai} et al., Fractals 29, No. 7, Article ID 2150192, 11 p. (2021; Zbl 1481.78020) Full Text: DOI OpenURL
Elías-Zúñiga, Alex; Palacios-Pineda, Luis Manuel; Jiménez-Cedeño, Isaac H.; Martínez-Romero, Oscar; Olvera Trejo, Daniel Equivalent power-form representation of the fractal Toda oscillator. (English) Zbl 1481.78022 Fractals 29, No. 2, Article ID 2150034, 10 p. (2021). MSC: 78A60 65L06 41A50 26A33 PDF BibTeX XML Cite \textit{A. Elías-Zúñiga} et al., Fractals 29, No. 2, Article ID 2150034, 10 p. (2021; Zbl 1481.78022) Full Text: DOI OpenURL
Khan, Y. Fractal Lakshmanan-Porsezian-Daniel model with different forms of nonlinearity and its novel soliton solutions. (English) Zbl 1481.78023 Fractals 29, No. 2, Article ID 2150032, 13 p. (2021). MSC: 78A60 35C08 35Q55 35Q41 82D40 35A15 26A33 35R11 PDF BibTeX XML Cite \textit{Y. Khan}, Fractals 29, No. 2, Article ID 2150032, 13 p. (2021; Zbl 1481.78023) Full Text: DOI OpenURL
Tian, Dan; Ain, Qura-Tul; Anjum, Naveed; He, Chun-Hui; Cheng, Bin Fractal N/MEMS: from pull-in instability to pull-in stability. (English) Zbl 1481.78002 Fractals 29, No. 2, Article ID 2150030, 8 p. (2021). MSC: 78A30 78A55 74F15 74M25 74A60 74K10 26A33 35B35 PDF BibTeX XML Cite \textit{D. Tian} et al., Fractals 29, No. 2, Article ID 2150030, 8 p. (2021; Zbl 1481.78002) Full Text: DOI OpenURL
Kachhia, Krunal B.; Atangana, Abdon Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel. (English) Zbl 1475.34005 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2357-2371 (2021). MSC: 34A08 97M10 26A33 78A25 PDF BibTeX XML Cite \textit{K. B. Kachhia} and \textit{A. Atangana}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2357--2371 (2021; Zbl 1475.34005) Full Text: DOI OpenURL
Ducharne, B.; Zhang, B.; Sebald, G. Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: application to eddy current testing. (English) Zbl 1481.78021 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105953, 12 p. (2021). MSC: 78A60 35Q60 78M20 78-05 26A33 35R11 PDF BibTeX XML Cite \textit{B. Ducharne} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105953, 12 p. (2021; Zbl 1481.78021) Full Text: DOI OpenURL
Yépez-Martínez, H.; Khater, Mostafa M. A.; Rezazadeh, Hadi; Inc, Mustafa Analytical novel solutions to the fractional optical dynamics in a medium with polynomial law nonlinearity and higher order dispersion with a new local fractional derivative. (English) Zbl 1479.78007 Phys. Lett., A 420, Article ID 127744, 19 p. (2021). MSC: 78A40 78A48 35Q55 81U30 26A33 33C45 PDF BibTeX XML Cite \textit{H. Yépez-Martínez} et al., Phys. Lett., A 420, Article ID 127744, 19 p. (2021; Zbl 1479.78007) Full Text: DOI OpenURL
Cardinali, Alessandro Electromagnetic waves in non-local dielectric media: derivation of a fractional differential equation describing the wave dynamics. (English) Zbl 07388302 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 PDF BibTeX XML Cite \textit{A. Cardinali}, SEMA SIMAI Springer Ser. 26, 71--82 (2021; Zbl 07388302) Full Text: DOI OpenURL
Lenzi, E. K.; Guilherme, L. M. S.; da Silva, B. V. H. V.; Koltun, A. P. S.; Evangelista, L. R.; Zola, R. S. Anomalous diffusion and electrical impedance response: fractional operators with singular and non-singular kernels. (English) Zbl 1476.78014 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105907, 10 p. (2021). MSC: 78A57 78A35 35Q60 26A33 35R11 PDF BibTeX XML Cite \textit{E. K. Lenzi} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105907, 10 p. (2021; Zbl 1476.78014) Full Text: DOI OpenURL
Yang, Yubo; Wang, Li-Lian; Zeng, Fanhai Analysis of a backward Euler-type scheme for Maxwell’s equations in a Havriliak-Negami dispersive medium. (English) Zbl 1481.65199 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 479-506 (2021). MSC: 65M70 65M06 65N35 65N30 65E05 65N12 41A10 41A25 41A30 41A58 35B35 33E12 78A25 78A60 26A33 35R11 35Q60 PDF BibTeX XML Cite \textit{Y. Yang} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 2, 479--506 (2021; Zbl 1481.65199) Full Text: DOI arXiv OpenURL
Mederski, Jarosław; Szulkin, Andrzej A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent. (English) Zbl 1475.35332 Arch. Ration. Mech. Anal. 241, No. 3, 1815-1842 (2021). MSC: 35Q61 35Q30 35Q55 78A25 35J20 35B33 26D10 PDF BibTeX XML Cite \textit{J. Mederski} and \textit{A. Szulkin}, Arch. Ration. Mech. Anal. 241, No. 3, 1815--1842 (2021; Zbl 1475.35332) Full Text: DOI arXiv OpenURL
Yang, Xiaozhong; Liu, Xinlong Numerical analysis of two new finite difference methods for time-fractional telegraph equation. (English) Zbl 1476.65198 Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3921-3942 (2021). MSC: 65M06 65M12 78A40 26A33 35R11 PDF BibTeX XML Cite \textit{X. Yang} and \textit{X. Liu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3921--3942 (2021; Zbl 1476.65198) Full Text: DOI OpenURL
Górska, K.; Horzela, A.; Pogány, T. K. Non-Debye relaxations: smeared time evolution, memory effects, and the Laplace exponents. (English) Zbl 1469.78019 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105837, 11 p. (2021). MSC: 78A48 26A48 34A08 PDF BibTeX XML Cite \textit{K. Górska} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105837, 11 p. (2021; Zbl 1469.78019) Full Text: DOI arXiv OpenURL
Muranova, Anna Effective impedance over ordered fields. (English) Zbl 1462.78016 J. Math. Phys. 62, No. 3, 033502, 18 p. (2021). MSC: 78A55 26E30 PDF BibTeX XML Cite \textit{A. Muranova}, J. Math. Phys. 62, No. 3, 033502, 18 p. (2021; Zbl 1462.78016) Full Text: DOI arXiv OpenURL
Gulgowski, Jacek; Stefański, Tomasz P. Generalization of Kramers-Krönig relations for evaluation of causality in power-law media. (English) Zbl 1457.78007 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105664, 20 p. (2021). MSC: 78A40 44A15 42A38 26A33 35R11 PDF BibTeX XML Cite \textit{J. Gulgowski} and \textit{T. P. Stefański}, Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105664, 20 p. (2021; Zbl 1457.78007) Full Text: DOI OpenURL
Uzun, Nezihe Reduced phase space optics for general relativity: symplectic ray bundle transfer. (English) Zbl 1478.83275 Classical Quantum Gravity 37, No. 4, Article ID 045002, 35 p. (2020). MSC: 83F05 78A05 53D10 53C22 26B10 70H05 70H14 PDF BibTeX XML Cite \textit{N. Uzun}, Classical Quantum Gravity 37, No. 4, Article ID 045002, 35 p. (2020; Zbl 1478.83275) Full Text: DOI arXiv OpenURL
Covi, Giovanni An inverse problem for the fractional Schrödinger equation in a magnetic field. (English) Zbl 1473.35500 Inverse Probl. 36, No. 4, Article ID 045004, 24 p. (2020). MSC: 35Q55 35Q60 78A25 35A01 82C41 35R30 26A33 35R11 PDF BibTeX XML Cite \textit{G. Covi}, Inverse Probl. 36, No. 4, Article ID 045004, 24 p. (2020; Zbl 1473.35500) Full Text: DOI arXiv OpenURL
Hernández-Balaguera, Enrique; Arredondo, Belén; del Pozo, Gonzalo; Romero, Beatriz Exploring the impact of fractional-order capacitive behavior on the hysteresis effects of perovskite solar cells: a theoretical perspective. (English) Zbl 1460.78018 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105371, 12 p. (2020). MSC: 78A55 26A33 33E12 74N30 PDF BibTeX XML Cite \textit{E. Hernández-Balaguera} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105371, 12 p. (2020; Zbl 1460.78018) Full Text: DOI OpenURL
Stefański, Tomasz P.; Gulgowski, Jacek Signal propagation in electromagnetic media described by fractional-order models. (English) Zbl 1451.78013 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105029, 16 p. (2020). MSC: 78A25 78A40 35R11 26A33 78M99 65T50 PDF BibTeX XML Cite \textit{T. P. Stefański} and \textit{J. Gulgowski}, Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105029, 16 p. (2020; Zbl 1451.78013) Full Text: DOI OpenURL
Lu, Hong; Li, Ji; Zhang, Mingji Spectral methods for two-dimensional space and time fractional Bloch-Torrey equations. (English) Zbl 1447.78018 Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3357-3371 (2020). MSC: 78M22 78M20 65M70 65N35 65M06 65M12 35R11 26A33 78A60 35Q60 PDF BibTeX XML Cite \textit{H. Lu} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3357--3371 (2020; Zbl 1447.78018) Full Text: DOI OpenURL
Nguyen, Hoai-Minh; Van Schaftingen, Jean Characterization of the traces on the boundary of functions in magnetic Sobolev spaces. (English) Zbl 1457.46048 Adv. Math. 371, Article ID 107246, 35 p. (2020). MSC: 46E35 26A33 35Q40 78A25 82D40 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{J. Van Schaftingen}, Adv. Math. 371, Article ID 107246, 35 p. (2020; Zbl 1457.46048) Full Text: DOI arXiv Link OpenURL
Maurya, Rahul Kumar; Devi, Vinita; Singh, Vineet Kumar Multistep schemes for one and two dimensional electromagnetic wave models based on fractional derivative approximation. (English) Zbl 1441.78029 J. Comput. Appl. Math. 380, Article ID 112985, 17 p. (2020). MSC: 78M20 78A40 65M06 65M12 65M15 26A33 35R11 35Q60 PDF BibTeX XML Cite \textit{R. K. Maurya} et al., J. Comput. Appl. Math. 380, Article ID 112985, 17 p. (2020; Zbl 1441.78029) Full Text: DOI OpenURL
Sulaiman, Tukur Abdulkadir; Bulut, Hasan; Baskonus, Haci Mehmet Optical solitons to the fractional perturbed NLSE in nano-fibers. (English) Zbl 1437.35650 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 925-936 (2020). MSC: 35Q60 35C07 35C08 78A60 26A33 35R11 PDF BibTeX XML Cite \textit{T. A. Sulaiman} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 925--936 (2020; Zbl 1437.35650) Full Text: DOI OpenURL
Das, Shantanu Memorized relaxation with singular and non-singular memory kernels for basic relaxation of dielectric vis-à-vis Curie-von Schweidler & Kohlrausch relaxation laws. (English) Zbl 1441.93114 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 575-607 (2020). MSC: 93C15 26A33 78A25 PDF BibTeX XML Cite \textit{S. Das}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 575--607 (2020; Zbl 1441.93114) Full Text: DOI OpenURL
Shen, Shujun; Dai, Weizhong; Cheng, Jinfa Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction. (English) Zbl 1435.65134 J. Comput. Appl. Math. 375, Article ID 112812, 23 p. (2020). MSC: 65M06 65M12 65N12 65F05 80A19 78A60 82D80 26A33 35R11 PDF BibTeX XML Cite \textit{S. Shen} et al., J. Comput. Appl. Math. 375, Article ID 112812, 23 p. (2020; Zbl 1435.65134) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Jakubowska-Ciszek} and \textit{J. Walczak}, Lect. Notes Electr. Eng. 559, 250--267 (2020; Zbl 1427.78014) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Macias} et al., Lect. Notes Electr. Eng. 559, 43--54 (2020; Zbl 1427.78015) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. N. Ghosh Roy}, Stud. Syst. Decis. Control 177, 187--231 (2020; Zbl 1428.35555) Full Text: DOI OpenURL
Shan, Shaukat Ali; Imtiaz, Nadia Shocks in an electronegative plasma with Boltzmann negative ions and \(\kappa\)-distributed trapped electrons. (English) Zbl 1478.78022 Phys. Lett., A 383, No. 18, 2176-2184 (2019). MSC: 78A37 82D10 76K05 26A33 35R11 35Q60 PDF BibTeX XML Cite \textit{S. A. Shan} and \textit{N. Imtiaz}, Phys. Lett., A 383, No. 18, 2176--2184 (2019; Zbl 1478.78022) Full Text: DOI OpenURL
Milici, Constantin; Tenreiro Machado, J.; Drăgănescu, Gheorghe On the fractional Cornu spirals. (English) Zbl 07263873 Commun. Nonlinear Sci. Numer. Simul. 67, 100-107 (2019). MSC: 26Axx 78Axx PDF BibTeX XML Cite \textit{C. Milici} et al., Commun. Nonlinear Sci. Numer. Simul. 67, 100--107 (2019; Zbl 07263873) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Schöps} et al., Math. Ind. 29, 131--159 (2019; Zbl 1465.65103) Full Text: DOI OpenURL
Wang, YaNan; Chen, YangQuan; Liao, XiaoZhong State-of-art survey of fractional order modeling and estimation methods for Lithium-ion batteries. (English) Zbl 1436.78006 Fract. Calc. Appl. Anal. 22, No. 6, 1449-1479 (2019). MSC: 78A57 78A35 26A33 34A08 35R11 60G22 93-10 93C95 93E10 93E12 PDF BibTeX XML Cite \textit{Y. Wang} et al., Fract. Calc. Appl. Anal. 22, No. 6, 1449--1479 (2019; Zbl 1436.78006) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. F. Gómez-Aguilar} et al., Springer Proc. Math. Stat. 272, 137--154 (2019; Zbl 1429.34013) Full Text: DOI OpenURL
Abuaisha, Tareq; Kertzscher, Jana Fractional-order modelling and parameter identification of electrical coils. (English) Zbl 1427.78013 Fract. Calc. Appl. Anal. 22, No. 1, 193-216 (2019). MSC: 78A55 93B30 90C30 93E24 26A33 34A08 34K37 78A25 PDF BibTeX XML Cite \textit{T. Abuaisha} and \textit{J. Kertzscher}, Fract. Calc. Appl. Anal. 22, No. 1, 193--216 (2019; Zbl 1427.78013) Full Text: DOI OpenURL
Ray, Santanu Saha A new numerical approach for single rational soliton solution of Chen-Lee-Liu equation with Riesz fractional derivative in optical fibers. (English) Zbl 1472.65130 Math. Methods Appl. Sci. 42, No. 1, 99-114 (2019). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 35R11 78A60 35Q55 26A33 35E15 PDF BibTeX XML Cite \textit{S. S. Ray}, Math. Methods Appl. Sci. 42, No. 1, 99--114 (2019; Zbl 1472.65130) Full Text: DOI OpenURL
Shanker Dubey, Ravi; Sharma, Anil; Jain, Monika Study of incomplete elliptic integrals pertaining to \(_p\Psi_q\) function. (English) Zbl 07002740 J. Appl. Math. Stat. Inform. 14, No. 2, 11-18 (2018). MSC: 26A33 33C65 33E05 33C75 78A40 78A45 PDF BibTeX XML Cite \textit{R. Shanker Dubey} et al., J. Appl. Math. Stat. Inform. 14, No. 2, 11--18 (2018; Zbl 07002740) Full Text: DOI OpenURL
Lin, Guoxing Analysis of PFG anomalous diffusion via real-space and phase-space approaches. (English) Zbl 1459.78010 Mathematics 6, No. 2, Paper No. 17, 16 p. (2018). MSC: 78A55 78A70 78A60 82C41 92C55 26A33 33E12 35R11 35Q60 PDF BibTeX XML Cite \textit{G. Lin}, Mathematics 6, No. 2, Paper No. 17, 16 p. (2018; Zbl 1459.78010) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Garrappa} and \textit{G. Maione}, Lect. Notes Electr. Eng. 407, 429--439 (2017; Zbl 1428.82075) Full Text: DOI OpenURL
Patel, Vijay Kumar; Singh, Somveer; Singh, Vineet Kumar Two-dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices. (English) Zbl 1373.78454 Math. Methods Appl. Sci. 40, No. 10, 3698-3717 (2017). MSC: 78M25 26A33 65R20 45J05 42C40 78A40 65M70 42C10 35R09 35R11 PDF BibTeX XML Cite \textit{V. K. Patel} et al., Math. Methods Appl. Sci. 40, No. 10, 3698--3717 (2017; Zbl 1373.78454) Full Text: DOI OpenURL
Patel, Vijay Kumar; Singh, Somveer; Singh, Vineet Kumar Two-dimensional wavelets collocation method for electromagnetic waves in dielectric media. (English) Zbl 1361.78004 J. Comput. Appl. Math. 317, 307-330 (2017). MSC: 78A40 26A33 45J05 60J60 42C40 42C10 65T60 65M70 78M22 41A50 65M12 65M15 35Q60 PDF BibTeX XML Cite \textit{V. K. Patel} et al., J. Comput. Appl. Math. 317, 307--330 (2017; Zbl 1361.78004) Full Text: DOI OpenURL
Garrappa, Roberto; Mainardi, Francesco; Guido, Maione Models of dielectric relaxation based on completely monotone functions. (English) Zbl 06663380 Fract. Calc. Appl. Anal. 19, No. 5, 1105-1160 (2016). MSC: 78Axx 26A33 33E12 34A08 26A48 44A10 91B74 PDF BibTeX XML Cite \textit{R. Garrappa} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1105--1160 (2016; Zbl 06663380) Full Text: DOI arXiv OpenURL
Gómez-Aguilar, J. F.; Escalante-Martínez, J. E.; Calderón-Ramón, C.; Morales-Mendoza, L. J.; Benavidez-Cruz, M.; Gonzalez-Lee, M. Equivalent circuits applied in electrochemical impedance spectroscopy and fractional derivatives with and without singular kernel. (English) Zbl 1348.78021 Adv. Math. Phys. 2016, Article ID 9720181, 15 p. (2016). MSC: 78A57 26A33 94C05 PDF BibTeX XML Cite \textit{J. F. Gómez-Aguilar} et al., Adv. Math. Phys. 2016, Article ID 9720181, 15 p. (2016; Zbl 1348.78021) Full Text: DOI OpenURL
Nigmatullin, Raoul R.; Khamzin, Airat A.; Baleanu, Dumitru On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation. (English) Zbl 1383.78012 Math. Methods Appl. Sci. 39, No. 11, 2983-2992 (2016). MSC: 78A25 26A33 30E20 33E12 35A22 PDF BibTeX XML Cite \textit{R. R. Nigmatullin} et al., Math. Methods Appl. Sci. 39, No. 11, 2983--2992 (2016; Zbl 1383.78012) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S.-C. Pei} and \textit{J.-J. Ding}, Springer Ser. Opt. Sci. 198, 81--96 (2016; Zbl 1334.78026) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. J. Bastiaans} and \textit{T. Alieva}, Springer Ser. Opt. Sci. 198, 29--80 (2016; Zbl 1334.78004) 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
Ltifi, A.; Ghariani, M.; Kharrat, M.; Neji, R. A fractional order \(PI^{\alpha}D^{\beta}\) control of the nonlinear systems. (English) Zbl 1322.93052 Nonlinear Dyn. Syst. Theory 15, No. 2, 148-162 (2015). MSC: 93C15 26A33 93C10 93B07 93C95 78A55 PDF BibTeX XML Cite \textit{A. Ltifi} et al., Nonlinear Dyn. Syst. Theory 15, No. 2, 148--162 (2015; Zbl 1322.93052) OpenURL
Morgado, L. F.; Morgado, M. L. Numerical modelling transient current in the time-of-flight experiment with time-fractional advection-diffusion equations. (English) Zbl 1325.78013 J. Math. Chem. 53, No. 3, 958-973 (2015). MSC: 78M20 35R11 65M06 65M12 78A35 78A48 26A33 35Q60 82D37 PDF BibTeX XML Cite \textit{L. F. Morgado} and \textit{M. L. Morgado}, J. Math. Chem. 53, No. 3, 958--973 (2015; Zbl 1325.78013) Full Text: DOI OpenURL
Alonso, Ricardo; Sun, Weiran The radiative transfer equation in the forward-peaked regime. (English) Zbl 1319.35254 Commun. Math. Phys. 338, No. 3, 1233-1286 (2015). MSC: 35Q60 78A40 35D30 78A45 26A33 PDF BibTeX XML Cite \textit{R. Alonso} and \textit{W. Sun}, Commun. Math. Phys. 338, No. 3, 1233--1286 (2015; Zbl 1319.35254) Full Text: DOI arXiv Link OpenURL
Caputo, Michele; Fabrizio, Mauro Admissible frequency domain response functions of dielectrics. (English) Zbl 1322.78003 Math. Methods Appl. Sci. 38, No. 5, 930-936 (2015). Reviewer: Vladimir Čadež (Beograd) MSC: 78A25 45K05 44A10 26A33 PDF BibTeX XML Cite \textit{M. Caputo} and \textit{M. Fabrizio}, Math. Methods Appl. Sci. 38, No. 5, 930--936 (2015; Zbl 1322.78003) Full Text: DOI OpenURL
Herzallah, Mohamed A. E. Comments on “Effect of fractional parameter on plane waves of generalized magneto-thermoelastic diffusion with reference temperature-dependent elastic medium”. (English) Zbl 1350.78002 Comput. Math. Appl. 67, No. 5, 997-998 (2014). MSC: 78A40 26A33 74F05 PDF BibTeX XML Cite \textit{M. A. E. Herzallah}, Comput. Math. Appl. 67, No. 5, 997--998 (2014; Zbl 1350.78002) Full Text: DOI OpenURL
Almeida, Ricardo; Neves, Vitor; Stroyan, Keith Infinitesimal differential geometry: cusps and envelopes. (English) Zbl 1326.26051 Differ. Geom. Dyn. Syst. 16, 1-13 (2014). MSC: 26E35 53A04 78A10 PDF BibTeX XML Cite \textit{R. Almeida} et al., Differ. Geom. Dyn. Syst. 16, 1--13 (2014; Zbl 1326.26051) Full Text: Link OpenURL
Huang, Jiacai; Shi, Xinxin; Cui, Lei; Li, Hongsheng; Xiang, Zhengrong A study of PMSM control based on a composite variable order integral sliding mode controller. (Chinese. English summary) Zbl 1324.93026 J. Syst. Sci. Math. Sci. 34, No. 7, 780-791 (2014). MSC: 93B12 93C10 93D05 78A55 34A08 26A33 PDF BibTeX XML Cite \textit{J. Huang} et al., J. Syst. Sci. Math. Sci. 34, No. 7, 780--791 (2014; Zbl 1324.93026) 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
Rabei, Eqab M.; Al-Jamel, A.; Widyan, H.; Baleanu, D. Comment on “Maxwell’s equations and electromagnetic Lagrangian density in fractional form” [J. Math. Phys. 53, 033505 (2012)]. (English) Zbl 1290.78003 J. Math. Phys. 55, No. 3, 034101, 2 p. (2014). MSC: 78A25 70S05 26A33 70S10 PDF BibTeX XML Cite \textit{E. M. Rabei} et al., J. Math. Phys. 55, No. 3, 034101, 2 p. (2014; Zbl 1290.78003) Full Text: DOI OpenURL
Nasrolahpour, Hosein A note on fractional electrodynamics. (English) Zbl 1304.78004 Commun. Nonlinear Sci. Numer. Simul. 18, No. 9, 2589-2593 (2013). MSC: 78A25 26A33 PDF BibTeX XML Cite \textit{H. Nasrolahpour}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 9, 2589--2593 (2013; Zbl 1304.78004) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Othman, M. I. A.; Sarkar, N.; Atwa, Sarhan. Y. Effect of fractional parameter on plane waves of generalized magneto-thermoelastic diffusion with reference temperature-dependent elastic medium. (English) Zbl 1350.78003 Comput. Math. Appl. 65, No. 7, 1103-1118 (2013). MSC: 78A40 26A33 74F05 PDF BibTeX XML Cite \textit{M. I. A. Othman} et al., Comput. Math. Appl. 65, No. 7, 1103--1118 (2013; Zbl 1350.78003) Full Text: DOI OpenURL
Uchaikin, Vladimir; Sibatov, Renat Fractional kinetics in solids. Anomalous charge transport in semiconductors, dielectrics and nanosystems. (English) Zbl 1277.82006 Boca Raton, FL: CRC Press (ISBN 978-981-4355-42-1/hbk; 978-981-4449-60-1/ebook). xvi, 257 p. (2013). Reviewer: Vittorio Romano (Catania) MSC: 82-02 82D37 82D80 78A35 26A33 PDF BibTeX XML Cite \textit{V. Uchaikin} and \textit{R. Sibatov}, Fractional kinetics in solids. Anomalous charge transport in semiconductors, dielectrics and nanosystems. Boca Raton, FL: CRC Press (2013; Zbl 1277.82006) Full Text: DOI OpenURL
Geyi, Wen A new derivation of the upper bounds for the ratio of gain to Q. (English) Zbl 1369.78436 IEEE Trans. Antennas Propag. 60, No. 7, 3488-3490 (2012). MSC: 78A50 26D15 PDF BibTeX XML Cite \textit{W. Geyi}, IEEE Trans. Antennas Propag. 60, No. 7, 3488--3490 (2012; Zbl 1369.78436) Full Text: DOI OpenURL
Jaradat, E. K.; Hijjawi, R. S.; Khalifeh, J. M. Maxwell’s equations and electromagnetic Lagrangian density in fractional form. (English) Zbl 1274.78012 J. Math. Phys. 53, No. 3, 033505, 9 p. (2012). MSC: 78A25 70S05 26A33 70S10 PDF BibTeX XML Cite \textit{E. K. Jaradat} et al., J. Math. Phys. 53, No. 3, 033505, 9 p. (2012; Zbl 1274.78012) Full Text: DOI OpenURL
Hoffmann, Karl Heinz; Essex, Christopher; Prehl, Janett A unified approach to resolving the entropy production paradox. (English) Zbl 1266.82050 J. Non-Equilibrium Thermodyn. 37, No. 4, 393-412 (2012). MSC: 82C35 78A40 26A33 35R11 82C03 PDF BibTeX XML Cite \textit{K. H. Hoffmann} et al., J. Non-Equilibrium Thermodyn. 37, No. 4, 393--412 (2012; Zbl 1266.82050) Full Text: DOI OpenURL
Atanacković, Teodor; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan The Cattaneo type space-time fractional heat conduction equation. (English) Zbl 1267.80006 Contin. Mech. Thermodyn. 24, No. 4-6, 293-311 (2012). Reviewer: Mersaid Aripov (Tashkent) MSC: 80A20 78A40 35L10 26A33 PDF BibTeX XML Cite \textit{T. Atanacković} et al., Contin. Mech. Thermodyn. 24, No. 4--6, 293--311 (2012; Zbl 1267.80006) 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
Cekic, B.; Kalinin, A. V.; Mashiyev, R. A.; Avci, M. \(L^{p(x)}(\varOmega)\)-estimates of vector fields and some applications to magnetostatics problems. (English) Zbl 1234.35192 J. Math. Anal. Appl. 389, No. 2, 838-851 (2012). MSC: 35Q35 78A30 26B35 PDF BibTeX XML Cite \textit{B. Cekic} et al., J. Math. Anal. Appl. 389, No. 2, 838--851 (2012; Zbl 1234.35192) Full Text: DOI OpenURL
Lazo, Matheus Jatkoske Gauge invariant fractional electromagnetic fields. (English) Zbl 1252.78028 Phys. Lett., A 375, No. 41, 3541-3546 (2011). MSC: 78A97 78A25 26A33 PDF BibTeX XML Cite \textit{M. J. Lazo}, Phys. Lett., A 375, No. 41, 3541--3546 (2011; Zbl 1252.78028) Full Text: DOI arXiv OpenURL
Sabatier, Jocelyn; Nguyen, Huy Cuong; Farges, Christophe; Deletage, Jean-Yves; Moreau, Xavier; Guillemard, Franck; Bavoux, Bernard Fractional models for thermal modeling and temperature estimation of a transistor junction. (English) Zbl 1344.93016 Adv. Difference Equ. 2011, Article ID 687363, 12 p. (2011). MSC: 93A30 93B30 26A33 78A55 PDF BibTeX XML Cite \textit{J. Sabatier} et al., Adv. Difference Equ. 2011, Article ID 687363, 12 p. (2011; Zbl 1344.93016) Full Text: DOI OpenURL
Bogolyubov, A. N.; Potapov, A. A.; Rehviashvili, S. Sh. A fractional integro-differentiation interpretation of the solution of a diffusion-wave equation. (English. Russian original) Zbl 1253.78007 Mosc. Univ. Phys. Bull. 65, No. 2, 150-151 (2010); translation from Vest. Mosk. Univ., Ser. III 2010, No. 2, 80-81 (2010). MSC: 78A25 26A33 78A40 35L05 PDF BibTeX XML Cite \textit{A. N. Bogolyubov} et al., Mosc. Univ. Phys. Bull. 65, No. 2, 150--151 (2010; Zbl 1253.78007); translation from Vest. Mosk. Univ., Ser. III 2010, No. 2, 80--81 (2010) Full Text: DOI OpenURL
Ruiz, Carlos Jiménez; Pérez, Jaime Castillo; de Romero, Susana Salinas Fractional Fourier transform of coherent optical system application. (Spanish. English summary) Zbl 1248.78010 Rev. Téc. Fac. Ing., Univ. Zulia 33, No. 3, 272-277 (2010). MSC: 78A40 42A38 26A33 PDF BibTeX XML Cite \textit{C. J. Ruiz} et al., Rev. Téc. Fac. Ing., Univ. Zulia 33, No. 3, 272--277 (2010; Zbl 1248.78010) OpenURL
Kaczorek, T. Positive linear systems with different fractional orders. (English) Zbl 1220.78074 Bull. Pol. Acad. Sci., Tech. Sci. 58, No. 3, 453-458 (2010). MSC: 78A55 26A33 15B48 PDF BibTeX XML Cite \textit{T. Kaczorek}, Bull. Pol. Acad. Sci., Tech. Sci. 58, No. 3, 453--458 (2010; Zbl 1220.78074) Full Text: DOI Link OpenURL
Wolinński, Wiesław (ed.); Ostalczyk, Piotr (ed.) Special issue: Optical fibres and their applications. Selected papers based on the presentations at the conference Laser technology, Świnoujście, Poland, September 2009, and the conference Optical fibres and their applications, Krasnobród, Poland, October 2009. (English) Zbl 1221.78009 Bull. Pol. Acad. Sci., Tech. Sci. 58, No. 4, 463-720 (2010). MSC: 78-06 74-06 78A60 70Exx 26A33 00B25 PDF BibTeX XML OpenURL
Baica, Malvina; Cârdu, Mircea Possibilities to represent some symmetric functions by unified equations and some of their applications in the paratrigonometry. (English) Zbl 1212.26082 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 55(69), No. 1, 1-11 (2010). MSC: 26E99 78A99 PDF BibTeX XML Cite \textit{M. Baica} and \textit{M. Cârdu}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 55(69), No. 1, 1--11 (2010; Zbl 1212.26082) OpenURL
Viani, F.; Rocca, P.; Benedetti, M.; Oliveri, G.; Massa, A. Electromagnetic passive localization and tracking of moving targets in a WSN-infrastructured environment. (English) Zbl 1194.94024 Inverse Probl. 26, No. 7, Article ID 074003, 15 p. (2010). MSC: 94A05 26B20 45Q05 78A46 PDF BibTeX XML Cite \textit{F. Viani} et al., Inverse Probl. 26, No. 7, Article ID 074003, 15 p. (2010; Zbl 1194.94024) Full Text: DOI Link OpenURL
Bogolyubov, A. N.; Potapov, A. A.; Rehviashvili, S. Sh. An approach to introducing fractional integro-differentiation in classical electrodynamics. (English) Zbl 1213.78009 Mosc. Univ. Phys. Bull. 64, No. 4, 365-368 (2009). MSC: 78A25 26A33 PDF BibTeX XML Cite \textit{A. N. Bogolyubov} et al., Mosc. Univ. Phys. Bull. 64, No. 4, 365--368 (2009; Zbl 1213.78009) Full Text: DOI OpenURL
Baica, Malvina; Cârdu, Mircea Paratrigonometric functions relative to the finite spirals as the basic trigonometric figures. (English) Zbl 1212.26081 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 54(68), No. 2, 9-17 (2009). MSC: 26E99 78A99 PDF BibTeX XML Cite \textit{M. Baica} and \textit{M. Cârdu}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 54(68), No. 2, 9--17 (2009; Zbl 1212.26081) OpenURL
Baica, Malvina; Cârdu, Mircea Baica & Cârdu paratrigonometric functions raised to some powers and their applications. (English) Zbl 1212.26080 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 54(68), No. 1, 17-25 (2009). MSC: 26E99 78A99 PDF BibTeX XML Cite \textit{M. Baica} and \textit{M. Cârdu}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 54(68), No. 1, 17--25 (2009; Zbl 1212.26080) OpenURL
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 PDF BibTeX XML Cite \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) OpenURL
Chen, Yangquan; Sun, Rongtao; Zhou, Anhong; Zaveri, Nikita Fractional order signal processing of electrochemical noises. (English) Zbl 1229.78018 J. Vib. Control 14, No. 9-10, 1443-1456 (2008). MSC: 78A57 26A33 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Vib. Control 14, No. 9--10, 1443--1456 (2008; Zbl 1229.78018) Full Text: DOI OpenURL
Magin, R. L.; Ovadia, M. Modeling the cardiac tissue electrode interface using fractional calculus. (English) Zbl 1229.92018 J. Vib. Control 14, No. 9-10, 1431-1442 (2008). MSC: 92C30 78A70 26A33 PDF BibTeX XML Cite \textit{R. L. Magin} and \textit{M. Ovadia}, J. Vib. Control 14, No. 9--10, 1431--1442 (2008; Zbl 1229.92018) Full Text: DOI OpenURL
Jesus, Isabel S.; Tenreiro Machado, J. A.; Cunha, J. Boaventure Fractional electrical impedances in botanical elements. (English) Zbl 1229.78023 J. Vib. Control 14, No. 9-10, 1389-1402 (2008). MSC: 78A70 26A33 PDF BibTeX XML Cite \textit{I. S. Jesus} et al., J. Vib. Control 14, No. 9--10, 1389--1402 (2008; Zbl 1229.78023) Full Text: DOI Link OpenURL
Haschka, Markus; Weickert, Thomas; Krebs, Volker Application of a sigma-point Kalman-filter for the online estimation of fractional order impedance models for solid oxide fuel cells. (English) Zbl 1229.93153 J. Vib. Control 14, No. 9-10, 1363-1374 (2008). MSC: 93E11 78A57 26A33 PDF BibTeX XML Cite \textit{M. Haschka} et al., J. Vib. Control 14, No. 9--10, 1363--1374 (2008; Zbl 1229.93153) Full Text: DOI OpenURL
Baica, Malvina; Cârdu, Mircea The application of the paratrigonometric fundamental equations in the four trigonometric quadrants. (English) Zbl 1240.26073 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 53(67), No. 1, 29-36 (2008). MSC: 26E99 78A99 PDF BibTeX XML Cite \textit{M. Baica} and \textit{M. Cârdu}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 53(67), No. 1, 29--36 (2008; Zbl 1240.26073) OpenURL
Baica, Malvina; Cârdu, Mircea An application case of the paratrigonometric polar coordinates. (English) Zbl 1240.26072 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 53(67), No. 2, 64-70 (2008). MSC: 26E99 78A99 PDF BibTeX XML Cite \textit{M. Baica} and \textit{M. Cârdu}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 53(67), No. 2, 64--70 (2008; Zbl 1240.26072) OpenURL
Jesus, Isabel S.; Tenreiro Machado, J. A. An evolutionary approach for the synthesis of fractional potentials. (English) Zbl 1175.26011 Fract. Calc. Appl. Anal. 11, No. 3, 237-248 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 78A25 93A30 PDF BibTeX XML Cite \textit{I. S. Jesus} and \textit{J. A. Tenreiro Machado}, Fract. Calc. Appl. Anal. 11, No. 3, 237--248 (2008; Zbl 1175.26011) OpenURL
Garg, Mridula Generalized fractional free electron laser equations: pulse propagation and transverse mode cases. (English. Arabic summary) Zbl 1207.78032 Kuwait J. Sci. Eng. 34, No. 1A, 27-38 (2007). MSC: 78A60 26A33 PDF BibTeX XML Cite \textit{M. Garg}, Kuwait J. Sci. Eng. 34, No. 1A, 27--38 (2007; Zbl 1207.78032) OpenURL
Baica, Malvina; Cârdu, Mircea Some developments of fundamental paratrigonometric equation. (English) Zbl 1174.26340 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 52, No. 66, Part 2, 23-29 (2007). MSC: 26E99 78A99 PDF BibTeX XML Cite \textit{M. Baica} and \textit{M. Cârdu}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 52, No. 66, Part 2, 23--29 (2007; Zbl 1174.26340) OpenURL
Baica, Malvina; Cârdu, Mircea Regarding the paratrigonometric equation of the circle. (English) Zbl 1164.26359 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 52, No. 66, Part 1, 18-23 (2007). MSC: 26Exx 78A99 PDF BibTeX XML Cite \textit{M. Baica} and \textit{M. Cârdu}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 52, No. 66, Part 1, 18--23 (2007; Zbl 1164.26359) OpenURL
D’Andrea, A.; Pilozzi, L.; Schiumarini, D.; Tomassini, N. Green’s function methods in photonic crystals and clusters. (English) Zbl 1143.78350 Int. J. Pure Appl. Math. 42, No. 4, 459-467 (2007). MSC: 78A60 78A40 26B20 PDF BibTeX XML Cite \textit{A. D'Andrea} et al., Int. J. Pure Appl. Math. 42, No. 4, 459--467 (2007; Zbl 1143.78350) OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Muslih, Sami I.; Baleanu, Dumitru Fractional multipoles in fractional space. (English) Zbl 1114.26006 Nonlinear Anal., Real World Appl. 8, No. 1, 198-203 (2007). Reviewer: Nasser-eddine Tatar (Dhahran) MSC: 26A33 78A30 PDF BibTeX XML Cite \textit{S. I. Muslih} and \textit{D. Baleanu}, Nonlinear Anal., Real World Appl. 8, No. 1, 198--203 (2007; Zbl 1114.26006) Full Text: DOI OpenURL
Baica, Malvina; Cârdu, Mircea The paratrigonometry and some of its specific symmetries. (English) Zbl 1164.26358 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 51, No. 65, Part 2, 1-11 (2006). MSC: 26Exx 78A99 PDF BibTeX XML Cite \textit{M. Baica} and \textit{M. Cârdu}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 51, No. 65, Part 2, 1--11 (2006; Zbl 1164.26358) OpenURL
Garg, Mridula; Rao, Alka On a two dimensional fractional free electron laser equation. (English) Zbl 1113.45008 J. Rajasthan Acad. Phys. Sci. 5, No. 2, 167-174 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 45K05 26A33 78A60 PDF BibTeX XML Cite \textit{M. Garg} and \textit{A. Rao}, J. Rajasthan Acad. Phys. Sci. 5, No. 2, 167--174 (2006; Zbl 1113.45008) OpenURL
El-Nabulsi, Rami Ahmad Unstable relativistic electrodynamics of charged particles from fractional action-like variational approach. (English) Zbl 1103.83017 Int. J. Appl. Math. 17, No. 4, 445-457 (2005). Reviewer: Mohammad Khorrami (Tehran) MSC: 83D05 26A33 70H99 81Q05 78A35 PDF BibTeX XML Cite \textit{R. A. El-Nabulsi}, Int. J. Appl. Math. 17, No. 4, 445--457 (2005; Zbl 1103.83017) OpenURL
Scarpello, Giovanni Mingari; Scimone, Aldo The work of Tschirnhaus, La Hire and Leibniz on catacaustics and the birth of the envelopes of lines in the 17th century. (English) Zbl 1076.01016 Arch. Hist. Exact Sci. 59, No. 3, 223-250 (2005). Reviewer: Christoph J. Scriba (Hamburg) MSC: 01A45 26-03 78-03 78A05 PDF BibTeX XML Cite \textit{G. M. Scarpello} and \textit{A. Scimone}, Arch. Hist. Exact Sci. 59, No. 3, 223--250 (2005; Zbl 1076.01016) Full Text: DOI OpenURL