Wang, Qiu-Ya; She, Zi-Hang; Lao, Cheng-Xue; Lin, Fu-Rong Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations. (English) Zbl 07792403 Numer. Algorithms 95, No. 2, 859-895 (2024). MSC: 65M06 65N06 65F08 65F10 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Q.-Y. Wang} et al., Numer. Algorithms 95, No. 2, 859--895 (2024; Zbl 07792403) Full Text: DOI
Choi, Q-Heung; Jung, Tacksun On the fractional \(p\)-Laplacian problems. (English) Zbl 1504.35615 J. Inequal. Appl. 2021, Paper No. 41, 17 p. (2021). MSC: 35R11 35K92 26A33 PDFBibTeX XMLCite \textit{Q-H. Choi} and \textit{T. Jung}, J. Inequal. Appl. 2021, Paper No. 41, 17 p. (2021; Zbl 1504.35615) Full Text: DOI
Lin, Fu-Rong; Wang, Qiu-Ya; Jin, Xiao-Qing Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations. (English) Zbl 1473.65112 Numer. Algorithms 87, No. 2, 601-631 (2021). MSC: 65M06 65N06 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{F.-R. Lin} et al., Numer. Algorithms 87, No. 2, 601--631 (2021; Zbl 1473.65112) Full Text: DOI
Nisar, Kottakkaran Sooppy; Shaikh, Amjad; Rahman, Gauhar; Kumar, Dinesh Solution of fractional kinetic equations involving class of functions and Sumudu transform. (English) Zbl 1487.35415 Adv. Difference Equ. 2020, Paper No. 39, 11 p. (2020). MSC: 35R11 26A33 44A10 33E12 44A15 PDFBibTeX XMLCite \textit{K. S. Nisar} et al., Adv. Difference Equ. 2020, Paper No. 39, 11 p. (2020; Zbl 1487.35415) Full Text: DOI
Xiang, Mingqi; Yang, Di; Zhang, Binlin Homoclinic solutions for Hamiltonian systems with variable-order fractional derivatives. (English) Zbl 1454.37059 Complex Var. Elliptic Equ. 65, No. 8, 1412-1432 (2020). MSC: 37J46 34A08 26A33 35R11 PDFBibTeX XMLCite \textit{M. Xiang} et al., Complex Var. Elliptic Equ. 65, No. 8, 1412--1432 (2020; Zbl 1454.37059) Full Text: DOI
Wu, Xiaolei; Yan, Yuyuan; Yan, Yubin An analysis of the L1 scheme for stochastic subdiffusion problem driven by integrated space-time white noise. (English) Zbl 1446.65120 Appl. Numer. Math. 157, 69-87 (2020). MSC: 65M60 65N30 65M06 65D32 65M15 35R11 26A33 60H15 60H40 60H35 44A10 35R60 PDFBibTeX XMLCite \textit{X. Wu} et al., Appl. Numer. Math. 157, 69--87 (2020; Zbl 1446.65120) Full Text: DOI Link
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio Applications of variable-order fractional operators: a review. (English) Zbl 1439.26028 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2234, Article ID 20190498, 32 p. (2020). MSC: 26A33 34A08 35R11 82C70 93C80 PDFBibTeX XMLCite \textit{S. Patnaik} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2234, Article ID 20190498, 32 p. (2020; Zbl 1439.26028) Full Text: DOI
Yang, Fan; Pu, Qu; Li, Xiao-Xiao The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation. (English) Zbl 1440.65123 J. Comput. Appl. Math. 380, Article ID 112998, 19 p. (2020). MSC: 65M30 65M32 65M06 65M12 65J20 35R30 35R25 35R11 26A33 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Comput. Appl. Math. 380, Article ID 112998, 19 p. (2020; Zbl 1440.65123) Full Text: DOI
Fischer, C.; Zourmba, K.; Mohamadou, A. Lyapunov exponents spectrum estimation of fractional order nonlinear systems using cloned dynamics. (English) Zbl 1437.65058 Appl. Numer. Math. 154, 187-204 (2020). MSC: 65L03 65P20 37M99 26A33 34A08 37D45 PDFBibTeX XMLCite \textit{C. Fischer} et al., Appl. Numer. Math. 154, 187--204 (2020; Zbl 1437.65058) Full Text: DOI
Sun, HongGuang; Chang, Ailian; Zhang, Yong; Chen, Wen A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. (English) Zbl 1428.34001 Fract. Calc. Appl. Anal. 22, No. 1, 27-59 (2019). MSC: 34-02 26A33 34A08 34A45 35R11 65-02 PDFBibTeX XMLCite \textit{H. Sun} et al., Fract. Calc. Appl. Anal. 22, No. 1, 27--59 (2019; Zbl 1428.34001) Full Text: DOI
Beghin, Luisa Fractional diffusion-type equations with exponential and logarithmic differential operators. (English) Zbl 1388.60091 Stochastic Processes Appl. 128, No. 7, 2427-2447 (2018). MSC: 60G52 34A08 33E12 26A33 PDFBibTeX XMLCite \textit{L. Beghin}, Stochastic Processes Appl. 128, No. 7, 2427--2447 (2018; Zbl 1388.60091) Full Text: DOI arXiv
Shukla, M. K.; Sharma, B. B. Stabilization of fractional order discrete chaotic systems. (English) Zbl 1406.39008 Azar, Ahmad Taher (ed.) et al., Fractional order control and synchronization of chaotic systems. Cham: Springer (ISBN 978-3-319-50248-9/hbk; 978-3-319-50249-6/ebook). Studies in Computational Intelligence 688, 431-445 (2017). MSC: 39A12 39A33 26A33 34A08 PDFBibTeX XMLCite \textit{M. K. Shukla} and \textit{B. B. Sharma}, Stud. Comput. Intell. 688, 431--445 (2017; Zbl 1406.39008) Full Text: DOI
Anh, Vo V.; Leonenko, Nikolai N.; Ruiz-Medina, María D. Fractional-in-time and multifractional-in-space stochastic partial differential equations. (English) Zbl 1355.60082 Fract. Calc. Appl. Anal. 19, No. 6, 1434-1459 (2016). MSC: 60H15 60G22 60G15 60G20 60G17 60G12 35R60 35S05 26A33 PDFBibTeX XMLCite \textit{V. V. Anh} et al., Fract. Calc. Appl. Anal. 19, No. 6, 1434--1459 (2016; Zbl 1355.60082) Full Text: DOI Link
Anh, Vo V.; Leonenko, Nikolai N.; Ruiz-Medina, María D. Space-time fractional stochastic equations on regular bounded open domains. (English) Zbl 1354.60065 Fract. Calc. Appl. Anal. 19, No. 5, 1161-1199 (2016). MSC: 60H15 60G22 60G60 60G15 60G20 60G17 60G12 26A33 PDFBibTeX XMLCite \textit{V. V. Anh} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1161--1199 (2016; Zbl 1354.60065) Full Text: DOI arXiv Link
D’Ovidio, Mirko; Leonenko, Nikolai; Orsingher, Enzo Fractional spherical random fields. (English) Zbl 1341.60040 Stat. Probab. Lett. 116, 146-156 (2016). MSC: 60G60 60H30 60G22 35R11 26A33 PDFBibTeX XMLCite \textit{M. D'Ovidio} et al., Stat. Probab. Lett. 116, 146--156 (2016; Zbl 1341.60040) Full Text: DOI arXiv
Alipour, Mohsen; Beghin, Luisa; Rostamy, Davood Generalized fractional nonlinear birth processes. (English) Zbl 1325.60050 Methodol. Comput. Appl. Probab. 17, No. 3, 525-540 (2015). MSC: 60G22 60J80 26A33 PDFBibTeX XMLCite \textit{M. Alipour} et al., Methodol. Comput. Appl. Probab. 17, No. 3, 525--540 (2015; Zbl 1325.60050) Full Text: DOI Link
Wu, Guo-Cheng; Baleanu, Dumitru Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. (English) Zbl 1438.76046 Appl. Math. Modelling 37, No. 9, 6183-6190 (2013). MSC: 76S05 26A33 65R20 65L05 44A10 45J05 35R11 76M30 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{D. Baleanu}, Appl. Math. Modelling 37, No. 9, 6183--6190 (2013; Zbl 1438.76046) Full Text: DOI
Shi, Kehua; Wang, Yongjin On a stochastic fractional partial differential equation with a fractional noise. (English) Zbl 1253.26013 Stochastics 84, No. 1, 21-36 (2012). MSC: 26A33 60H15 60G18 PDFBibTeX XMLCite \textit{K. Shi} and \textit{Y. Wang}, Stochastics 84, No. 1, 21--36 (2012; Zbl 1253.26013) Full Text: DOI
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V. Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid. (English) Zbl 1228.65207 Comput. Math. Appl. 62, No. 3, 971-986 (2011). MSC: 65N06 76M25 35R11 26A33 45K05 76D07 PDFBibTeX XMLCite \textit{C.-M. Chen} et al., Comput. Math. Appl. 62, No. 3, 971--986 (2011; Zbl 1228.65207) Full Text: DOI
Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean Anomalous diffusion modeling by fractal and fractional derivatives. (English) Zbl 1189.35355 Comput. Math. Appl. 59, No. 5, 1754-1758 (2010). MSC: 35R11 26A33 35A08 PDFBibTeX XMLCite \textit{W. Chen} et al., Comput. Math. Appl. 59, No. 5, 1754--1758 (2010; Zbl 1189.35355) Full Text: DOI
Lin, R.; Liu, Fawang; Anh, V.; Turner, I. Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. (English) Zbl 1171.65101 Appl. Math. Comput. 212, No. 2, 435-445 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 45K05 45G10 35K57 26A33 65M06 65M12 PDFBibTeX XMLCite \textit{R. Lin} et al., Appl. Math. Comput. 212, No. 2, 435--445 (2009; Zbl 1171.65101) Full Text: DOI Link
Orsingher, Enzo; Beghin, Luisa Fractional diffusion equations and processes with randomly varying time. (English) Zbl 1173.60027 Ann. Probab. 37, No. 1, 206-249 (2009). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60J60 26A33 60G52 60J65 33E12 33C10 PDFBibTeX XMLCite \textit{E. Orsingher} and \textit{L. Beghin}, Ann. Probab. 37, No. 1, 206--249 (2009; Zbl 1173.60027) Full Text: DOI arXiv
Debbi, Latifa; Dozzi, Marco On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension. (English) Zbl 1078.60048 Stochastic Processes Appl. 115, No. 11, 1764-1781 (2005). MSC: 60H15 26A33 60G60 PDFBibTeX XMLCite \textit{L. Debbi} and \textit{M. Dozzi}, Stochastic Processes Appl. 115, No. 11, 1764--1781 (2005; Zbl 1078.60048) Full Text: DOI
Liu, Fawang; Anh, V.; Turner, I. Numerical solution of the space fractional Fokker-Planck equation. (English) Zbl 1036.82019 J. Comput. Appl. Math. 166, No. 1, 209-219 (2004). MSC: 82C31 26A33 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Comput. Appl. Math. 166, No. 1, 209--219 (2004; Zbl 1036.82019) Full Text: DOI
Anh, V. V.; Grecksch, W. A fractional stochastic evolution equation driven by fractional Brownian motion. (English) Zbl 1049.60056 Monte Carlo Methods Appl. 9, No. 3, 189-199 (2003). Reviewer: Dirk Blömker (Aachen) MSC: 60H15 60H35 60H05 26A33 PDFBibTeX XMLCite \textit{V. V. Anh} and \textit{W. Grecksch}, Monte Carlo Methods Appl. 9, No. 3, 189--199 (2003; Zbl 1049.60056) Full Text: DOI Link
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P. Time fractional advection-dispersion equation. (English) Zbl 1068.26006 J. Appl. Math. Comput. 13, No. 1-2, 233-245 (2003). Reviewer: Rudolf Gorenflo (Berlin) MSC: 26A33 33D15 44A10 44A15 45K05 35K57 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Appl. Math. Comput. 13, No. 1--2, 233--245 (2003; Zbl 1068.26006) Full Text: DOI
Anh, V. V.; Leonenko, N. N. Harmonic analysis of random fractional diffusion-wave equations. (English) Zbl 1053.60064 Appl. Math. Comput. 141, No. 1, 77-85 (2003). Reviewer: Ismail Taqi Ali (Safat) MSC: 60H15 35C15 26A33 35R10 PDFBibTeX XMLCite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Appl. Math. Comput. 141, No. 1, 77--85 (2003; Zbl 1053.60064) Full Text: DOI