Garra, R.; Consiglio, A.; Mainardi, F. A note on a modified fractional Maxwell model. (English) Zbl 1507.74065 Chaos Solitons Fractals 163, Article ID 112544, 5 p. (2022). MSC: 74B05 74D05 74L10 76A10 26A33 35R11 33E12 PDFBibTeX XMLCite \textit{R. Garra} et al., Chaos Solitons Fractals 163, Article ID 112544, 5 p. (2022; Zbl 1507.74065) Full Text: DOI arXiv
Das, Anupam; Hazarika, Bipan; Panda, Sumati Kumari; Vijayakumar, V. An existence result for an infinite system of implicit fractional integral equations via generalized Darbo’s fixed point theorem. (English) Zbl 1476.45003 Comput. Appl. Math. 40, No. 4, Paper No. 143, 17 p. (2021). MSC: 45G05 26A33 74H20 PDFBibTeX XMLCite \textit{A. Das} et al., Comput. Appl. Math. 40, No. 4, Paper No. 143, 17 p. (2021; Zbl 1476.45003) Full Text: DOI
Consiglio, Armando; Mainardi, Francesco On the evolution of fractional diffusive waves. (English) Zbl 1469.35219 Ric. Mat. 70, No. 1, 21-33 (2021). MSC: 35R11 26A33 33E12 34A08 35-03 65D20 60J60 74J05 PDFBibTeX XMLCite \textit{A. Consiglio} and \textit{F. Mainardi}, Ric. Mat. 70, No. 1, 21--33 (2021; Zbl 1469.35219) Full Text: DOI arXiv
Sun, Hong Guang; Wang, Zhaoyang; Nie, Jiayi; Zhang, Yong; Xiao, Rui Generalized finite difference method for a class of multidimensional space-fractional diffusion equations. (English) Zbl 07360491 Comput. Mech. 67, No. 1, 17-32 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{H. G. Sun} et al., Comput. Mech. 67, No. 1, 17--32 (2021; Zbl 07360491) Full Text: DOI
Hassouna, M.; Ouhadan, A.; El Kinani, E. H. On the \((\alpha,\beta)\)-Scott-Blair anti-Zener arrangement. (English) Zbl 1449.34019 Afr. Mat. 31, No. 3-4, 687-699 (2020). MSC: 34A08 26A33 74S40 PDFBibTeX XMLCite \textit{M. Hassouna} et al., Afr. Mat. 31, No. 3--4, 687--699 (2020; Zbl 1449.34019) Full Text: DOI
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong A variably distributed-order time-fractional diffusion equation: analysis and approximation. (English) Zbl 1442.76074 Comput. Methods Appl. Mech. Eng. 367, Article ID 113118, 15 p. (2020). MSC: 76M10 65M60 35R11 65M15 74F10 76S05 PDFBibTeX XMLCite \textit{Z. Yang} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113118, 15 p. (2020; Zbl 1442.76074) Full Text: DOI
Abdelkawy, M. A.; Lopes, António M.; Zaky, M. A. Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations. (English) Zbl 1438.65244 Comput. Appl. Math. 38, No. 2, Paper No. 81, 21 p. (2019). MSC: 65M70 74S25 26A33 35R11 33C45 65M12 65M15 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., Comput. Appl. Math. 38, No. 2, Paper No. 81, 21 p. (2019; Zbl 1438.65244) Full Text: DOI
Bazhlekova, Emilia Subordination in a class of generalized time-fractional diffusion-wave equations. (English) Zbl 1418.35356 Fract. Calc. Appl. Anal. 21, No. 4, 869-900 (2018). MSC: 35R11 35E05 35L05 35Q74 74D05 PDFBibTeX XMLCite \textit{E. Bazhlekova}, Fract. Calc. Appl. Anal. 21, No. 4, 869--900 (2018; Zbl 1418.35356) Full Text: DOI
Fuziki, M. E. K.; Lenzi, M. K.; Ribeiro, M. A.; Novatski, A.; Lenzi, E. K. Diffusion process and reaction on a surface. (English) Zbl 1410.35235 Adv. Math. Phys. 2018, Article ID 6162043, 11 p. (2018). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 74M15 35R11 35K57 35R09 PDFBibTeX XMLCite \textit{M. E. K. Fuziki} et al., Adv. Math. Phys. 2018, Article ID 6162043, 11 p. (2018; Zbl 1410.35235) Full Text: DOI
Tatar, Salih; Ulusoy, Süleyman Analysis of direct and inverse problems for a fractional elastoplasticity model. (English) Zbl 1499.74024 Filomat 31, No. 3, 699-708 (2017). MSC: 74C05 26A33 PDFBibTeX XMLCite \textit{S. Tatar} and \textit{S. Ulusoy}, Filomat 31, No. 3, 699--708 (2017; Zbl 1499.74024) Full Text: DOI
Martelloni, Gianluca; Bagnoli, Franco; Guarino, Alessio A 3D model for rain-induced landslides based on molecular dynamics with fractal and fractional water diffusion. (English) Zbl 1459.76140 Commun. Nonlinear Sci. Numer. Simul. 50, 311-329 (2017). MSC: 76R50 76T99 76M99 74L05 74A25 26A33 PDFBibTeX XMLCite \textit{G. Martelloni} et al., Commun. Nonlinear Sci. Numer. Simul. 50, 311--329 (2017; Zbl 1459.76140) Full Text: DOI arXiv
Chidouh, Amar; Guezane-Lakoud, Assia; Bebbouchi, Rachid; Bouaricha, Amor; Torres, Delfim F. M. Linear and nonlinear fractional Voigt models. (English) Zbl 1460.74011 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, 157-167 (2017). MSC: 74D05 74D10 74H20 26A33 PDFBibTeX XMLCite \textit{A. Chidouh} et al., Lect. Notes Electr. Eng. 407, 157--167 (2017; Zbl 1460.74011) Full Text: DOI arXiv
Alkahtani, Badr Saad T.; Atangana, Abdon; Koca, Ilknur Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators. (English) Zbl 1412.34059 J. Nonlinear Sci. Appl. 10, No. 6, 3191-3200 (2017). MSC: 34A34 34A08 74G15 PDFBibTeX XMLCite \textit{B. S. T. Alkahtani} et al., J. Nonlinear Sci. Appl. 10, No. 6, 3191--3200 (2017; Zbl 1412.34059) Full Text: DOI
Ferreira, M.; Vieira, N. Multidimensional time fractional diffusion equation. (English) Zbl 1408.35212 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer. 107-117 (2017). MSC: 35R11 74F05 74A15 35Q74 PDFBibTeX XMLCite \textit{M. Ferreira} and \textit{N. Vieira}, in: Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 107--117 (2017; Zbl 1408.35212) Full Text: DOI Link
Lombard, Bruno; Matignon, Denis Diffusive approximation of a time-fractional Burger’s equation in nonlinear acoustics. (English) Zbl 1443.65275 SIAM J. Appl. Math. 76, No. 5, 1765-1791 (2016). MSC: 65M99 26A33 35L60 35Q53 35R11 74J30 PDFBibTeX XMLCite \textit{B. Lombard} and \textit{D. Matignon}, SIAM J. Appl. Math. 76, No. 5, 1765--1791 (2016; Zbl 1443.65275) Full Text: DOI arXiv
Montseny, Emmanuel; Casenave, Céline Analysis, simulation and impedance operator of a nonlocal model of porous medium for acoustic control. (English) Zbl 1358.93119 J. Vib. Control 21, No. 5, 1012-1028 (2015). MSC: 93C80 76Q05 74H45 93E20 74J10 PDFBibTeX XMLCite \textit{E. Montseny} and \textit{C. Casenave}, J. Vib. Control 21, No. 5, 1012--1028 (2015; Zbl 1358.93119) Full Text: DOI HAL
Fürstenberg, Florian; Dolgushev, Maxim; Blumen, Alexander Exploring the applications of fractional calculus: hierarchically built semiflexible polymers. (English) Zbl 1355.82063 Chaos Solitons Fractals 81, Part B, 527-533 (2015). MSC: 82D60 74H10 28A80 PDFBibTeX XMLCite \textit{F. Fürstenberg} et al., Chaos Solitons Fractals 81, Part B, 527--533 (2015; Zbl 1355.82063) Full Text: DOI
Sibatov, Renat T.; Svetukhin, V. V. Fractional kinetics of subdiffusion-limited decomposition of a supersaturated solid solution. (English) Zbl 1355.74063 Chaos Solitons Fractals 81, Part B, 519-526 (2015). MSC: 74N25 74A25 35R11 PDFBibTeX XMLCite \textit{R. T. Sibatov} and \textit{V. V. Svetukhin}, Chaos Solitons Fractals 81, Part B, 519--526 (2015; Zbl 1355.74063) Full Text: DOI
Zingales, Massimiliano Fractional-order theory of heat transport in rigid bodies. (English) Zbl 1470.80007 Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3938-3953 (2014). MSC: 80A19 74F05 PDFBibTeX XMLCite \textit{M. Zingales}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3938--3953 (2014; Zbl 1470.80007) Full Text: DOI Link
Fabrizio, Mauro Fractional rheological models for thermomechanical systems. Dissipation and free energies. (English) Zbl 1312.35177 Fract. Calc. Appl. Anal. 17, No. 1, 206-223 (2014). MSC: 35R11 33E12 74A15 74D05 80A10 60G22 PDFBibTeX XMLCite \textit{M. Fabrizio}, Fract. Calc. Appl. Anal. 17, No. 1, 206--223 (2014; Zbl 1312.35177) Full Text: DOI
Carpinteri, Alberto; Cornetti, Pietro; Sapora, Alberto Nonlocal elasticity: an approach based on fractional calculus. (English) Zbl 1306.74010 Meccanica 49, No. 11, 2551-2569 (2014). MSC: 74B99 26A33 45K05 PDFBibTeX XMLCite \textit{A. Carpinteri} et al., Meccanica 49, No. 11, 2551--2569 (2014; Zbl 1306.74010) Full Text: DOI
Hanyga, A.; Seredyńska, M. Spatially fractional-order viscoelasticity, non-locality, and a new kind of anisotropy. (English) Zbl 1276.74015 J. Math. Phys. 53, No. 5, 052902, 21 p. (2012). MSC: 74D05 76A10 26A33 35R11 PDFBibTeX XMLCite \textit{A. Hanyga} and \textit{M. Seredyńska}, J. Math. Phys. 53, No. 5, 052902, 21 p. (2012; Zbl 1276.74015) Full Text: DOI arXiv
Povstenko, Yuriy Theories of thermal stresses based on space-time-fractional telegraph equations. (English) Zbl 1268.74018 Comput. Math. Appl. 64, No. 10, 3321-3328 (2012). MSC: 74F05 35R11 35Q79 74D05 35Q74 80A17 PDFBibTeX XMLCite \textit{Y. Povstenko}, Comput. Math. Appl. 64, No. 10, 3321--3328 (2012; Zbl 1268.74018) Full Text: DOI
Tomovski, Živorad; Sandev, Trifce Fractional wave equation with a frictional memory kernel of Mittag-Leffler type. (English) Zbl 1246.35204 Appl. Math. Comput. 218, No. 20, 10022-10031 (2012). MSC: 35R11 74H45 74K05 33E15 PDFBibTeX XMLCite \textit{Ž. Tomovski} and \textit{T. Sandev}, Appl. Math. Comput. 218, No. 20, 10022--10031 (2012; Zbl 1246.35204) Full Text: DOI
Caputo, Michele; Carcione, José M. Wave simulation in dissipative media described by distributed-order fractional time derivatives. (English) Zbl 1271.74233 J. Vib. Control 17, No. 8, 1121-1130 (2011). MSC: 74J10 26A33 PDFBibTeX XMLCite \textit{M. Caputo} and \textit{J. M. Carcione}, J. Vib. Control 17, No. 8, 1121--1130 (2011; Zbl 1271.74233) Full Text: DOI
Konjik, Sanja; Oparnica, Ljubica; Zorica, Dusan Waves in fractional Zener type viscoelastic media. (English) Zbl 1185.35280 J. Math. Anal. Appl. 365, No. 1, 259-268 (2010). MSC: 35Q74 35A22 35A08 74B05 26A33 PDFBibTeX XMLCite \textit{S. Konjik} et al., J. Math. Anal. Appl. 365, No. 1, 259--268 (2010; Zbl 1185.35280) Full Text: DOI arXiv