Dipierro, Serena; Giacomin, Giovanni; Valdinoci, Enrico Analysis of the Lévy flight foraging hypothesis in \(\mathbb{R}^n\) and unreliability of the most rewarding strategies. (English) Zbl 1527.35435 SIAM J. Appl. Math. 83, No. 5, 1935-1968 (2023). MSC: 35Q92 92D25 92B05 60G51 60J65 46N60 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{S. Dipierro} et al., SIAM J. Appl. Math. 83, No. 5, 1935--1968 (2023; Zbl 1527.35435) Full Text: DOI
Uçar, Sümeyra Analysis of hepatitis B disease with fractal-fractional Caputo derivative using real data from Turkey. (English) Zbl 1505.34075 J. Comput. Appl. Math. 419, Article ID 114692, 20 p. (2023). MSC: 34C60 34A08 92D30 92C60 34D05 28A78 PDFBibTeX XMLCite \textit{S. Uçar}, J. Comput. Appl. Math. 419, Article ID 114692, 20 p. (2023; Zbl 1505.34075) Full Text: DOI
Chen, Yaqian; Ghori, Muhammad Bilal; Kang, Yanmei Bifurcation analysis of brain connectivity regulated neural oscillations in schizophrenia. (English) Zbl 1503.92024 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 11, Article ID 2250167, 21 p. (2022). MSC: 92C20 92C50 37G15 PDFBibTeX XMLCite \textit{Y. Chen} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 11, Article ID 2250167, 21 p. (2022; Zbl 1503.92024) Full Text: DOI
Bezerra, Mario; Cuevas, Claudio; Silva, Clessius; Soto, Herme On the fractional doubly parabolic Keller-Segel system modelling chemotaxis. (English) Zbl 1496.35418 Sci. China, Math. 65, No. 9, 1827-1874 (2022). MSC: 35R11 35B40 35K45 35K59 92C15 92C17 PDFBibTeX XMLCite \textit{M. Bezerra} et al., Sci. China, Math. 65, No. 9, 1827--1874 (2022; Zbl 1496.35418) Full Text: DOI
Olivares, Alberto; Staffetti, Ernesto Robust optimal control of compartmental models in epidemiology: application to the COVID-19 pandemic. (English) Zbl 1490.92111 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106509, 21 p. (2022). MSC: 92D30 93E20 PDFBibTeX XMLCite \textit{A. Olivares} and \textit{E. Staffetti}, Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106509, 21 p. (2022; Zbl 1490.92111) Full Text: DOI
Dipierro, Serena; Valdinoci, Enrico Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes. (English) Zbl 1528.60037 Physica A 575, Article ID 126052, 20 p. (2021). MSC: 60G50 35Q92 92B05 PDFBibTeX XMLCite \textit{S. Dipierro} and \textit{E. Valdinoci}, Physica A 575, Article ID 126052, 20 p. (2021; Zbl 1528.60037) Full Text: DOI arXiv
Egorova, Vera N.; Trucchia, Andrea; Pagnini, Gianni Physical parametrisation of fire-spotting for operational wildfire simulators. (English) Zbl 07431162 Asensio, María Isabel (ed.) et al., Applied mathematics for environmental problems. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 21-38 (2021). MSC: 65-XX 35-XX 76-XX 92D40 PDFBibTeX XMLCite \textit{V. N. Egorova} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 21--38 (2021; Zbl 07431162) Full Text: DOI
Asensio, M. I.; Ferragut, L.; Álvarez, D.; Laiz, P.; Cascón, J. M.; Prieto, D.; Pagnini, G. PhyFire: an online GIS-integrated wildfire spread simulation tool based on a semiphysical model. (English) Zbl 07431161 Asensio, María Isabel (ed.) et al., Applied mathematics for environmental problems. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 1-20 (2021). MSC: 65-XX 35-XX 76-XX 92D40 PDFBibTeX XMLCite \textit{M. I. Asensio} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 1--20 (2021; Zbl 07431161) Full Text: DOI
Yang, Zhanying; Zhang, Jie; Hu, Junhao; Mei, Jun Finite-time stability criteria for a class of high-order fractional Cohen-Grossberg neural networks with delay. (English) Zbl 1445.92010 Complexity 2020, Article ID 3604738, 11 p. (2020). MSC: 92B20 34K20 34A08 PDFBibTeX XMLCite \textit{Z. Yang} et al., Complexity 2020, Article ID 3604738, 11 p. (2020; Zbl 1445.92010) Full Text: DOI
Cusimano, Nicole; Gizzi, A.; Fenton, Flavio H.; Filippi, S.; Gerardo-Giorda, L. Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study. (English) Zbl 1451.92083 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105152, 22 p. (2020). MSC: 92C30 92-10 PDFBibTeX XMLCite \textit{N. Cusimano} et al., Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105152, 22 p. (2020; Zbl 1451.92083) Full Text: DOI
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. (English) Zbl 1447.65072 Comput. Math. Appl. 80, No. 5, 923-939 (2020). MSC: 65M60 65M06 65M12 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Gao} et al., Comput. Math. Appl. 80, No. 5, 923--939 (2020; Zbl 1447.65072) Full Text: DOI
Joshi, Hardik; Jha, Brajesh Kumar Fractional-order mathematical model for calcium distribution in nerve cells. (English) Zbl 1449.35443 Comput. Appl. Math. 39, No. 2, Paper No. 56, 22 p. (2020). MSC: 35R11 92B05 97M10 PDFBibTeX XMLCite \textit{H. Joshi} and \textit{B. K. Jha}, Comput. Appl. Math. 39, No. 2, Paper No. 56, 22 p. (2020; Zbl 1449.35443) Full Text: DOI
Xu, Qinwu; Xu, Yufeng Quenching study of two-dimensional fractional reaction-diffusion equation from combustion process. (English) Zbl 1442.80006 Comput. Math. Appl. 78, No. 5, 1490-1506 (2019). MSC: 80A25 92E20 35R11 65M60 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{Y. Xu}, Comput. Math. Appl. 78, No. 5, 1490--1506 (2019; Zbl 1442.80006) Full Text: DOI
Lin, Guoxing General PFG signal attenuation expressions for anisotropic anomalous diffusion by modified-Bloch equations. (English) Zbl 1514.92052 Physica A 497, 86-100 (2018). MSC: 92C55 35R11 PDFBibTeX XMLCite \textit{G. Lin}, Physica A 497, 86--100 (2018; Zbl 1514.92052) Full Text: DOI arXiv
Joshi, Hardik; Jha, Brajesh Kumar Fractionally delineate the neuroprotective function of calbindin-\(D_{2 8 k}\) in Parkinson’s disease. (English) Zbl 1405.92045 Int. J. Biomath. 11, No. 8, Article ID 1850103, 19 p. (2018). MSC: 92C20 92C50 92C40 26A33 35R11 35Q92 PDFBibTeX XMLCite \textit{H. Joshi} and \textit{B. K. Jha}, Int. J. Biomath. 11, No. 8, Article ID 1850103, 19 p. (2018; Zbl 1405.92045) Full Text: DOI
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 PDFBibTeX XMLCite \textit{G. Lin}, Mathematics 6, No. 2, Paper No. 17, 16 p. (2018; Zbl 1459.78010) Full Text: DOI
da C. Sousa, J. Vanterler; de Oliveira, E. Capelas; Magna, L. A. Fractional calculus and the ESR test. (English) Zbl 1427.35313 AIMS Math. 2, No. 4, 692-705 (2017). MSC: 35R11 35Q92 35Q35 92C35 76Z05 PDFBibTeX XMLCite \textit{J. V. da C. Sousa} et al., AIMS Math. 2, No. 4, 692--705 (2017; Zbl 1427.35313) Full Text: DOI arXiv
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
Prodanov, Dimiter; Delbeke, Jean A model of space-fractional-order diffusion in the glial scar. (English) Zbl 1343.92090 J. Theor. Biol. 403, 97-109 (2016). MSC: 92C20 92C50 PDFBibTeX XMLCite \textit{D. Prodanov} and \textit{J. Delbeke}, J. Theor. Biol. 403, 97--109 (2016; Zbl 1343.92090) Full Text: DOI arXiv
Bu, Weiping; Tang, Yifa; Wu, Yingchuan; Yang, Jiye Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model. (English) Zbl 1339.65170 Appl. Math. Comput. 257, 355-364 (2015). MSC: 65M60 65M12 92C20 PDFBibTeX XMLCite \textit{W. Bu} et al., Appl. Math. Comput. 257, 355--364 (2015; Zbl 1339.65170) Full Text: DOI
Cheng, Hongmei; Yuan, Rong The spreading property for a prey-predator reaction-diffusion system with fractional diffusion. (English) Zbl 1499.92064 Fract. Calc. Appl. Anal. 18, No. 3, 565-579 (2015). MSC: 92D25 26A33 33E12 35K91 35B35 35C07 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. Yuan}, Fract. Calc. Appl. Anal. 18, No. 3, 565--579 (2015; Zbl 1499.92064) Full Text: DOI
Svenkeson, A.; Beig, M. T.; Turalska, M.; West, B. J.; Grigolini, P. Fractional trajectories: decorrelation versus friction. (English) Zbl 1395.82120 Physica A 392, No. 22, 5663-5672 (2013). MSC: 82C03 34A08 92D40 PDFBibTeX XMLCite \textit{A. Svenkeson} et al., Physica A 392, No. 22, 5663--5672 (2013; Zbl 1395.82120) Full Text: DOI
Giuggioli, Luca; Bartumeus, Frederic Linking animal movement to site fidelity. (English) Zbl 1252.92054 J. Math. Biol. 64, No. 4, 647-656 (2012). MSC: 92D40 92D50 60G50 60G22 60G51 PDFBibTeX XMLCite \textit{L. Giuggioli} and \textit{F. Bartumeus}, J. Math. Biol. 64, No. 4, 647--656 (2012; Zbl 1252.92054) Full Text: DOI
Hanert, Emmanuel; Schumacher, Eva; Deleersnijder, Eric Front dynamics in fractional-order epidemic models. (English) Zbl 1397.92636 J. Theor. Biol. 279, 9-16 (2011). MSC: 92D30 26A33 35K57 PDFBibTeX XMLCite \textit{E. Hanert} et al., J. Theor. Biol. 279, 9--16 (2011; Zbl 1397.92636) Full Text: DOI HAL