Yu, Jian-Wei; Zhang, Chun-Hua; Huang, Xin; Wang, Xiang A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations. (English) Zbl 1505.65251 Japan J. Ind. Appl. Math. 40, No. 1, 537-562 (2023). MSC: 65M06 65N06 65T50 65F08 65M12 41A25 15B05 15A18 35R11 PDFBibTeX XMLCite \textit{J.-W. Yu} et al., Japan J. Ind. Appl. Math. 40, No. 1, 537--562 (2023; Zbl 1505.65251) Full Text: DOI
Gan, Di; Zhang, Guo-Feng Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients. (English) Zbl 1505.65284 J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023). MSC: 65N06 65M06 65F08 65F10 65F55 65M12 65N12 15B05 65T50 26A33 35R11 PDFBibTeX XMLCite \textit{D. Gan} and \textit{G.-F. Zhang}, J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023; Zbl 1505.65284) Full Text: DOI
Chen, Hao; Lv, Wen Kronecker product-based structure preserving preconditioner for three-dimensional space-fractional diffusion equations. (English) Zbl 1480.65066 Int. J. Comput. Math. 97, No. 3, 585-601 (2020). MSC: 65F08 65F10 65L06 65N22 PDFBibTeX XMLCite \textit{H. Chen} and \textit{W. Lv}, Int. J. Comput. Math. 97, No. 3, 585--601 (2020; Zbl 1480.65066) Full Text: DOI
Shao, Xin-Hui; Zhang, Zhen-Duo; Shen, Hai-Long A generalization of trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1443.65140 Comput. Math. Appl. 79, No. 6, 1845-1856 (2020). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{X.-H. Shao} et al., Comput. Math. Appl. 79, No. 6, 1845--1856 (2020; Zbl 1443.65140) Full Text: DOI
Aceto, Lidia; Mazza, Mariarosa; Serra-Capizzano, Stefano Fractional Laplace operator in two dimensions, approximating matrices, and related spectral analysis. (English) Zbl 07245604 Calcolo 57, No. 3, Paper No. 27, 25 p. (2020). MSC: 47A58 34A08 15B05 65F60 65F15 65F35 PDFBibTeX XMLCite \textit{L. Aceto} et al., Calcolo 57, No. 3, Paper No. 27, 25 p. (2020; Zbl 07245604) Full Text: DOI
El-Ajou, Ahmad; Oqielat, Moa’ath N.; Al-Zhour, Zeyad; Momani, Shaher A class of linear non-homogenous higher order matrix fractional differential equations: analytical solutions and new technique. (English) Zbl 1451.34007 Fract. Calc. Appl. Anal. 23, No. 2, 356-377 (2020). MSC: 34A08 26A33 34A05 34A25 34A30 PDFBibTeX XMLCite \textit{A. El-Ajou} et al., Fract. Calc. Appl. Anal. 23, No. 2, 356--377 (2020; Zbl 1451.34007) Full Text: DOI
Mahmoud, Gamal M.; Aboelenen, Tarek; Abed-Elhameed, Tarek M.; Farghaly, Ahmed A. Generalized Wright stability for distributed fractional-order nonlinear dynamical systems and their synchronization. (English) Zbl 1430.34007 Nonlinear Dyn. 97, No. 1, 413-429 (2019). MSC: 34A08 34D06 26A33 34C28 PDFBibTeX XMLCite \textit{G. M. Mahmoud} et al., Nonlinear Dyn. 97, No. 1, 413--429 (2019; Zbl 1430.34007) Full Text: DOI
Chen, Hao; Lv, Wen; Zhang, Tongtong A Kronecker product splitting preconditioner for two-dimensional space-fractional diffusion equations. (English) Zbl 1395.65007 J. Comput. Phys. 360, 1-14 (2018). MSC: 65F08 65M06 65F10 35R11 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Comput. Phys. 360, 1--14 (2018; Zbl 1395.65007) Full Text: DOI
Guo, Weihong; Song, Guohui; Zhang, Yue PCM-TV-TFV: a novel two-stage framework for image reconstruction from Fourier data. (English) Zbl 1401.35316 SIAM J. Imaging Sci. 10, No. 4, 2250-2274 (2017). MSC: 35R11 65K10 65F22 90C25 PDFBibTeX XMLCite \textit{W. Guo} et al., SIAM J. Imaging Sci. 10, No. 4, 2250--2274 (2017; Zbl 1401.35316) Full Text: DOI arXiv
Ozturk, Okkes Discrete fractional solutions of radial Schrödinger equation for Makarov potential. (English) Zbl 1384.39012 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 3, Article ID 1750019, 10 p. (2017). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 39A70 26A33 34A08 47B39 PDFBibTeX XMLCite \textit{O. Ozturk}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 3, Article ID 1750019, 10 p. (2017; Zbl 1384.39012) Full Text: DOI
Bertaccini, Daniele; Durastante, Fabio Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses. (English) Zbl 1362.65038 Numer. Algorithms 74, No. 4, 1061-1082 (2017). MSC: 65F10 35K20 35R11 65M06 65F08 PDFBibTeX XMLCite \textit{D. Bertaccini} and \textit{F. Durastante}, Numer. Algorithms 74, No. 4, 1061--1082 (2017; Zbl 1362.65038) Full Text: DOI
fu, Hongfei; Wang, Hong A preconditioned fast finite difference method for space-time fractional partial differential equations. (English) Zbl 1360.65221 Fract. Calc. Appl. Anal. 20, No. 1, 88-116 (2017). MSC: 65M06 35R11 65F10 65M22 65T50 PDFBibTeX XMLCite \textit{H. fu} and \textit{H. Wang}, Fract. Calc. Appl. Anal. 20, No. 1, 88--116 (2017; Zbl 1360.65221) Full Text: DOI
Mashayekhi, Somayeh; Razzaghi, Mohsen Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation. (English) Zbl 1336.65123 Math. Methods Appl. Sci. 39, No. 3, 353-365 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L60 65L10 65L05 65L70 34A08 34A30 34B05 PDFBibTeX XMLCite \textit{S. Mashayekhi} and \textit{M. Razzaghi}, Math. Methods Appl. Sci. 39, No. 3, 353--365 (2016; Zbl 1336.65123) Full Text: DOI
Damarla, Seshu Kumar; Kundu, Madhusree Design of robust fractional PID controller using triangular strip operational matrices. (English) Zbl 1328.93083 Fract. Calc. Appl. Anal. 18, No. 5, 1291-1326 (2015). MSC: 93B35 26A33 93C15 93B36 93B51 93B52 49N05 90C31 PDFBibTeX XMLCite \textit{S. K. Damarla} and \textit{M. Kundu}, Fract. Calc. Appl. Anal. 18, No. 5, 1291--1326 (2015; Zbl 1328.93083) Full Text: DOI
Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. (English) Zbl 1339.65094 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120153, 14 p. (2013). MSC: 65L05 34A30 34A08 65D25 65D30 PDFBibTeX XMLCite \textit{I. Podlubny} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120153, 14 p. (2013; Zbl 1339.65094) Full Text: DOI
Podlubny, Igor Matrix approach to discrete fractional calculus. (English) Zbl 1030.26011 Fract. Calc. Appl. Anal. 3, No. 4, 359-386 (2000). MSC: 26A33 15A99 39A12 65L12 PDFBibTeX XMLCite \textit{I. Podlubny}, Fract. Calc. Appl. Anal. 3, No. 4, 359--386 (2000; Zbl 1030.26011)