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
dos Santos, M. A. F.; Colombo, E. H.; Anteneodo, C. Random diffusivity scenarios behind anomalous non-Gaussian diffusion. (English) Zbl 1502.60165 Chaos Solitons Fractals 152, Article ID 111422, 8 p. (2021). MSC: 60K50 60G22 PDFBibTeX XMLCite \textit{M. A. F. dos Santos} et al., Chaos Solitons Fractals 152, Article ID 111422, 8 p. (2021; Zbl 1502.60165) Full Text: DOI arXiv
Awad, Emad; Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. (English) Zbl 1506.35260 Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} et al., Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021; Zbl 1506.35260) Full Text: DOI
Gu, Caihong; Tang, Yanbin Chaotic characterization of one dimensional stochastic fractional heat equation. (English) Zbl 1498.60259 Chaos Solitons Fractals 145, Article ID 110780, 10 p. (2021). MSC: 60H15 35R60 60G60 PDFBibTeX XMLCite \textit{C. Gu} and \textit{Y. Tang}, Chaos Solitons Fractals 145, Article ID 110780, 10 p. (2021; Zbl 1498.60259) Full Text: DOI
Phuong, Nguyen Duc; Tuan, Nguyen Huy; Hammouch, Zakia; Sakthivel, Rathinasamy On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise. (English) Zbl 1498.35346 Chaos Solitons Fractals 145, Article ID 110771, 12 p. (2021). MSC: 35K99 PDFBibTeX XMLCite \textit{N. D. Phuong} et al., Chaos Solitons Fractals 145, Article ID 110771, 12 p. (2021; Zbl 1498.35346) Full Text: DOI
dos Santos, Maike A. F.; Junior, Luiz Menon Random diffusivity models for scaled Brownian motion. (English) Zbl 1498.82017 Chaos Solitons Fractals 144, Article ID 110634, 9 p. (2021). MSC: 82C31 60J65 60G22 PDFBibTeX XMLCite \textit{M. A. F. dos Santos} and \textit{L. M. Junior}, Chaos Solitons Fractals 144, Article ID 110634, 9 p. (2021; Zbl 1498.82017) Full Text: DOI
Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan A class of time-fractional Dirac type operators. (English) Zbl 1505.47050 Chaos Solitons Fractals 143, Article ID 110590, 15 p. (2021). MSC: 47G20 35R11 35R30 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Chaos Solitons Fractals 143, Article ID 110590, 15 p. (2021; Zbl 1505.47050) Full Text: DOI
Alyami, Maryam Ahmed; Darwish, Mohamed Abdalla On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments. (English) Zbl 1495.45007 Chaos Solitons Fractals 131, Article ID 109475, 7 p. (2020). MSC: 45M05 45G10 26A33 47H08 47N20 PDFBibTeX XMLCite \textit{M. A. Alyami} and \textit{M. A. Darwish}, Chaos Solitons Fractals 131, Article ID 109475, 7 p. (2020; Zbl 1495.45007) Full Text: DOI
dos Santos, Maike A. F. Analytic approaches of the anomalous diffusion: a review. (English) Zbl 1448.60193 Chaos Solitons Fractals 124, 86-96 (2019). MSC: 60K50 60-02 82C31 82C41 PDFBibTeX XMLCite \textit{M. A. F. dos Santos}, Chaos Solitons Fractals 124, 86--96 (2019; Zbl 1448.60193) Full Text: DOI arXiv
Roscani, Sabrina D.; Bollati, Julieta; Tarzia, Domingo A. A new mathematical formulation for a phase change problem with a memory flux. (English) Zbl 1442.35563 Chaos Solitons Fractals 116, 340-347 (2018). MSC: 35R35 35R11 80A22 35C15 PDFBibTeX XMLCite \textit{S. D. Roscani} et al., Chaos Solitons Fractals 116, 340--347 (2018; Zbl 1442.35563) Full Text: DOI arXiv Link
Yu, Xiangnan; Zhang, Yong; Sun, HongGuang; Zheng, Chunmiao Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: analytical solution in bounded-domain and model comparison. (English) Zbl 1416.35300 Chaos Solitons Fractals 115, 306-312 (2018). MSC: 35R11 35C10 60J60 PDFBibTeX XMLCite \textit{X. Yu} et al., Chaos Solitons Fractals 115, 306--312 (2018; Zbl 1416.35300) Full Text: DOI
Vitali, Silvia; Castellani, Gastone; Mainardi, Francesco Time fractional cable equation and applications in neurophysiology. (English) Zbl 1374.92025 Chaos Solitons Fractals 102, 467-472 (2017). MSC: 92C20 92C30 35Q92 35R11 PDFBibTeX XMLCite \textit{S. Vitali} et al., Chaos Solitons Fractals 102, 467--472 (2017; Zbl 1374.92025) Full Text: DOI arXiv
Atangana, Abdon Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. (English) Zbl 1374.28002 Chaos Solitons Fractals 102, 396-406 (2017). MSC: 28A33 65D30 65D25 PDFBibTeX XMLCite \textit{A. Atangana}, Chaos Solitons Fractals 102, 396--406 (2017; Zbl 1374.28002) Full Text: DOI
Sandev, Trifce; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei Beyond monofractional kinetics. (English) Zbl 1374.45016 Chaos Solitons Fractals 102, 210-217 (2017). MSC: 45K05 35R11 PDFBibTeX XMLCite \textit{T. Sandev} et al., Chaos Solitons Fractals 102, 210--217 (2017; Zbl 1374.45016) Full Text: DOI
Hernández-Hernández, M. E.; Kolokoltsov, V. N.; Toniazzi, L. Generalised fractional evolution equations of Caputo type. (English) Zbl 1374.34009 Chaos Solitons Fractals 102, 184-196 (2017). MSC: 34A08 34A12 60H30 34A05 PDFBibTeX XMLCite \textit{M. E. Hernández-Hernández} et al., Chaos Solitons Fractals 102, 184--196 (2017; Zbl 1374.34009) Full Text: DOI arXiv Link
Boyadjiev, Lyubomir; Luchko, Yuri Mellin integral transform approach to analyze the multidimensional diffusion-wave equations. (English) Zbl 1374.35419 Chaos Solitons Fractals 102, 127-134 (2017). MSC: 35R11 35C05 35E05 35L05 35A22 PDFBibTeX XMLCite \textit{L. Boyadjiev} and \textit{Y. Luchko}, Chaos Solitons Fractals 102, 127--134 (2017; Zbl 1374.35419) Full Text: DOI
Prodanov, Dimiter Characterization of strongly non-linear and singular functions by scale space analysis. (English) Zbl 1372.26005 Chaos Solitons Fractals 93, 14-19 (2016). MSC: 26A27 26A33 26A16 PDFBibTeX XMLCite \textit{D. Prodanov}, Chaos Solitons Fractals 93, 14--19 (2016; Zbl 1372.26005) Full Text: DOI arXiv
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
Paradisi, Paolo (ed.); Kaniadakis, Giorgio (ed.); Scarfone, Antonio Maria (ed.) The emergence of self-organization in complex systems – Preface. (English) Zbl 1355.00025 Chaos Solitons Fractals 81, Part B, 407-411 (2015). MSC: 00B15 82-06 PDFBibTeX XMLCite \textit{P. Paradisi} (ed.) et al., Chaos Solitons Fractals 81, Part B, 407--411 (2015; Zbl 1355.00025) Full Text: DOI
Meilanov, R. P.; Shabanova, M. R.; Akhmedov, E. N. Some peculiarities of the solution of the heat conduction equation in fractional calculus. (English) Zbl 1352.35183 Chaos Solitons Fractals 75, 29-33 (2015). MSC: 35Q79 35R11 PDFBibTeX XMLCite \textit{R. P. Meilanov} et al., Chaos Solitons Fractals 75, 29--33 (2015; Zbl 1352.35183) Full Text: DOI
Satin, Seema E.; Parvate, Abhay; Gangal, A. D. Fokker-Planck equation on fractal curves. (English) Zbl 1323.35179 Chaos Solitons Fractals 52, 30-35 (2013). MSC: 35Q84 28A80 60J60 PDFBibTeX XMLCite \textit{S. E. Satin} et al., Chaos Solitons Fractals 52, 30--35 (2013; Zbl 1323.35179) Full Text: DOI arXiv
Beghin, L. Random-time processes governed by differential equations of fractional distributed order. (English) Zbl 1258.35199 Chaos Solitons Fractals 45, No. 11, 1314-1327 (2012). MSC: 35R11 35R60 PDFBibTeX XMLCite \textit{L. Beghin}, Chaos Solitons Fractals 45, No. 11, 1314--1327 (2012; Zbl 1258.35199) Full Text: DOI arXiv
Das, S. A note on fractional diffusion equations. (English) Zbl 1198.65137 Chaos Solitons Fractals 42, No. 4, 2074-2079 (2009). MSC: 65L99 34A08 35K57 PDFBibTeX XMLCite \textit{S. Das}, Chaos Solitons Fractals 42, No. 4, 2074--2079 (2009; Zbl 1198.65137) Full Text: DOI
Gorenflo, Rudolf; Mainardi, Francesco; Vivoli, Alessandro Continuous-time random walk and parametric subordination in fractional diffusion. (English) Zbl 1142.82363 Chaos Solitons Fractals 34, No. 1, 87-103 (2007). MSC: 82C41 82C70 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Chaos Solitons Fractals 34, No. 1, 87--103 (2007; Zbl 1142.82363) Full Text: DOI arXiv
Balescu, R. V-Langevin equations, continuous time random walks and fractional diffusion. (English) Zbl 1142.82356 Chaos Solitons Fractals 34, No. 1, 62-80 (2007). MSC: 82C31 PDFBibTeX XMLCite \textit{R. Balescu}, Chaos Solitons Fractals 34, No. 1, 62--80 (2007; Zbl 1142.82356) Full Text: DOI arXiv