Ahmed, Hoda F.; Hashem, W. A. Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions. (English) Zbl 07694958 Numer. Algorithms 93, No. 3, 1013-1043 (2023). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ahmed, Hoda F.; Hashem, W. A. Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions. (English) Zbl 1508.65138 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107062, 16 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 33C45 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Rayal, Ashish; Verma, Sag Ram An approximate wavelets solution to the class of variational problems with fractional order. (English) Zbl 1475.34008 J. Appl. Math. Comput. 65, No. 1-2, 735-769 (2021). MSC: 34A08 49K05 65M70 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. (English) Zbl 1476.65272 Commun. Appl. Math. Comput. 3, No. 1, 61-90 (2021). MSC: 65M70 35Q49 58C40 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. (English) Zbl 1481.65150 Appl. Math. Modelling 100, 107-124 (2021). MSC: 65M06 35R11 65M12 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Qiao, Haili; Liu, Zhengguang; Cheng, Aijie Two unconditionally stable difference schemes for time distributed-order differential equation based on Caputo-Fabrizio fractional derivative. (English) Zbl 1487.65119 Adv. Difference Equ. 2020, Paper No. 36, 17 p. (2020). MSC: 65M06 65M12 65M60 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ichou, M. Ait; El Amri, H.; Ezziani, A. On existence and uniqueness of solution for space-time fractional Zener model. (English) Zbl 1462.35440 Acta Appl. Math. 170, 593-609 (2020). MSC: 35R11 35L51 65N12 74D05 74J05 86-08 × Cite Format Result Cite Review PDF Full Text: DOI
Lam, P. H.; So, H. C.; Chan, C. F. Exponential sum approximation for Mittag-Leffler function and its application to fractional Zener wave equation. (English) Zbl 1436.65023 J. Comput. Phys. 410, Article ID 109389, 23 p. (2020). MSC: 65D32 74S40 74S05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiangzhi; Zhang, Yufeng Some similarity solutions and numerical solutions to the time-fractional Burgers system. (English) Zbl 1423.35424 Symmetry 11, No. 1, Paper No. 112, 12 p. (2019). MSC: 35R11 35C99 65M22 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ezz-Eldien, S. S.; Doha, E. H.; Bhrawy, A. H.; El-Kalaawy, A. A.; Machado, J. A. T. A new operational approach for solving fractional variational problems depending on indefinite integrals. (English) Zbl 07263284 Commun. Nonlinear Sci. Numer. Simul. 57, 246-263 (2018). MSC: 49Mxx 34A08 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Lazopoulos, A. K. Numerical solutions of differential equations with fractional L-derivative. (English) Zbl 1392.65015 Contin. Mech. Thermodyn. 30, No. 3, 667-674 (2018). MSC: 65C99 34A08 70E15 76T10 × Cite Format Result Cite Review PDF Full Text: DOI
Antunes, Pedro R. S.; Ferreira, Rui A. C. Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives. (English) Zbl 1538.34087 Commun. Nonlinear Sci. Numer. Simul. 48, 398-413 (2017). MSC: 34B15 26A33 34A08 65L10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Lin; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux. (English) Zbl 1458.76095 Commun. Nonlinear Sci. Numer. Simul. 38, 45-58 (2016). MSC: 76R50 76R99 82C70 92C17 76M99 76M35 65M12 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Mishra, T. N.; Rai, K. N. Numerical solution of FSPL heat conduction equation for analysis of thermal propagation. (English) Zbl 1410.80020 Appl. Math. Comput. 273, 1006-1017 (2016). MSC: 80M20 65M06 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Ezz-Eldien, S. S. New quadrature approach based on operational matrix for solving a class of fractional variational problems. (English) Zbl 1349.65250 J. Comput. Phys. 317, 362-381 (2016). MSC: 65L60 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Jinkyu; Kim, Dongkeon A quadratic temporal finite element method for linear elastic structural dynamics. (English) Zbl 1540.74015 Math. Comput. Simul. 117, 68-88 (2015). MSC: 74B05 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jianping; Chen, Ke Variational image registration by a total fractional-order variation model. (English) Zbl 1349.94050 J. Comput. Phys. 293, 442-461 (2015). MSC: 94A08 65N06 35R11 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Blaszczyk, Tomasz; Ciesielski, Mariusz Fractional oscillator equation – transformation into integral equation and numerical solution. (English) Zbl 1338.34012 Appl. Math. Comput. 257, 428-435 (2015). MSC: 34A08 45J05 35C15 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Maleki, Mohammad; Hashim, Ishak; Abbasbandy, Saeid; Alsaedi, A. Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method. (English) Zbl 1311.65087 J. Comput. Appl. Math. 283, 41-57 (2015). MSC: 65K10 49J15 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Atanackovic, Teodor M.; Janev, Marko; Pilipovic, Stevan; Zorica, Dusan Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations. (English) Zbl 1337.65101 Appl. Math. Comput. 243, 611-623 (2014). MSC: 65L20 34A45 34A08 × Cite Format Result Cite Review PDF Full Text: DOI