Gencyigit, Mehmet; Şenol, Mehmet; Koksal, Mehmet Emir Analytical solutions of the fractional \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 07810164 Comput. Methods Differ. Equ. 11, No. 3, 564-575 (2023). MSC: 76M60 26A33 35R11 83C15 PDFBibTeX XMLCite \textit{M. Gencyigit} et al., Comput. Methods Differ. Equ. 11, No. 3, 564--575 (2023; Zbl 07810164) Full Text: DOI
Bi, Xiaowei; Liu, Demin First-order fractional step finite element method for the 2D/3D unstationary incompressible thermomicropolar fluid equations. (English) Zbl 07801476 ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202300095, 27 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76A05 76R10 76M10 76M20 26A33 35R11 PDFBibTeX XMLCite \textit{X. Bi} and \textit{D. Liu}, ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202300095, 27 p. (2023; Zbl 07801476) Full Text: DOI
Liu, Yue; Zhao, Zhen; Zhang, Yanni; Pang, Jing Approximate solutions to fractional differential equations. (English) Zbl 1528.76027 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 10, 1791-1802 (2023). MSC: 76D99 76M45 26A33 PDFBibTeX XMLCite \textit{Y. Liu} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 10, 1791--1802 (2023; Zbl 1528.76027) Full Text: DOI
Ashurov, Ravshan; Mukhiddinova, Oqila Inverse problem of determining the order of the fractional derivative in the Rayleigh-Stokes equation. (English) Zbl 1522.76057 Fract. Calc. Appl. Anal. 26, No. 4, 1691-1708 (2023). MSC: 76M21 35R11 35R30 26A33 76A05 PDFBibTeX XMLCite \textit{R. Ashurov} and \textit{O. Mukhiddinova}, Fract. Calc. Appl. Anal. 26, No. 4, 1691--1708 (2023; Zbl 1522.76057) Full Text: DOI arXiv
Wang, Fang; Wang, Yu A finite difference method for solving unsteady fractional Oldroyd-B viscoelastic flow based on Caputo derivative. (English) Zbl 1523.76067 Adv. Math. Phys. 2023, Article ID 8963904, 22 p. (2023). MSC: 76M20 76A10 65M12 26A33 PDFBibTeX XMLCite \textit{F. Wang} and \textit{Y. Wang}, Adv. Math. Phys. 2023, Article ID 8963904, 22 p. (2023; Zbl 1523.76067) Full Text: DOI
Chauhan, Tanisha; Bansal, Diksha; Sircar, Sarthok Spatiotemporal linear stability of viscoelastic subdiffusive channel flows: a fractional calculus framework. (English) Zbl 1521.76127 J. Eng. Math. 141, Paper No. 8, 22 p. (2023). MSC: 76E05 76A10 76R50 76M99 26A33 PDFBibTeX XMLCite \textit{T. Chauhan} et al., J. Eng. Math. 141, Paper No. 8, 22 p. (2023; Zbl 1521.76127) Full Text: DOI arXiv
Neshchadim, Mikhail Vladimirovich; Simonov, Andreĭ Artëmovich; Chupakhin, Aleksandr Pavlovich Representations of algebra \(sl_2(\mathbb R)\) and ordinary differential equations. (Russian. English summary) Zbl 07724944 Chelyabinskiĭ Fiz.-Mat. Zh. 8, No. 2, 173-189 (2023). MSC: 81T55 26B05 76M60 37F75 47B37 PDFBibTeX XMLCite \textit{M. V. Neshchadim} et al., Chelyabinskiĭ Fiz.-Mat. Zh. 8, No. 2, 173--189 (2023; Zbl 07724944) Full Text: DOI MNR
Gu, Qiongya; Wang, Lizhen Group classification, symmetry reductions and exact solutions of the time-fractional generalized thin film equation with variable coefficients. (English) Zbl 1524.35417 Comput. Appl. Math. 42, No. 6, Paper No. 244, 23 p. (2023). MSC: 35N10 26A33 76M60 PDFBibTeX XMLCite \textit{Q. Gu} and \textit{L. Wang}, Comput. Appl. Math. 42, No. 6, Paper No. 244, 23 p. (2023; Zbl 1524.35417) Full Text: DOI
Qian, Chenyin; Wang, Luman Asymptotic profiles and concentration-diffusion effects in fractional incompressible flows. (English) Zbl 1525.76025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 228, Article ID 113185, 19 p. (2023). Reviewer: Raphaël Danchin (Paris) MSC: 76D03 76R99 76M45 35Q30 26A33 35R11 PDFBibTeX XMLCite \textit{C. Qian} and \textit{L. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 228, Article ID 113185, 19 p. (2023; Zbl 1525.76025) Full Text: DOI
Bu, Weiping; Yang, Huimin; Tang, Yifa Two fast numerical methods for a generalized Oldroyd-B fluid model. (English) Zbl 1504.65198 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106963, 24 p. (2023). MSC: 65M60 65M06 65N30 65M15 76A10 76M10 76M20 35Q35 26A33 35R11 PDFBibTeX XMLCite \textit{W. Bu} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106963, 24 p. (2023; Zbl 1504.65198) Full Text: DOI
Tyrylgin, Aleksei; Vasilyeva, Maria; Alikhanov, Anatoly; Sheen, Dongwoo A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. (English) Zbl 1502.65146 J. Comput. Appl. Math. 418, Article ID 114670, 18 p. (2023). MSC: 65M60 65M06 65N30 65M15 76S05 74F10 74L10 74R10 76M10 76M20 74S05 74S20 35Q35 35Q74 26A33 35R11 PDFBibTeX XMLCite \textit{A. Tyrylgin} et al., J. Comput. Appl. Math. 418, Article ID 114670, 18 p. (2023; Zbl 1502.65146) Full Text: DOI arXiv
Qayyum, Mubashir; Ismail, Farnaz; Shah, Syed Inayat Ali; Sohail, Muhammad; Asogwa, Kanayo Kenneth; Zohra, Fatema Tuz Analysis of fractional thin film flow of third grade fluid in lifting and drainage via homotopy perturbation procedure. (English) Zbl 1507.76015 Adv. Math. Phys. 2022, Article ID 2847993, 10 p. (2022). MSC: 76A20 76A05 76M45 26A33 PDFBibTeX XMLCite \textit{M. Qayyum} et al., Adv. Math. Phys. 2022, Article ID 2847993, 10 p. (2022; Zbl 1507.76015) Full Text: DOI
Hamid, Muhammad; Usman, Muhammad; Yan, Yaping; Tian, Zhenfu An efficient numerical scheme for fractional characterization of MHD fluid model. (English) Zbl 1506.76119 Chaos Solitons Fractals 162, Article ID 112475, 13 p. (2022). MSC: 76M20 76W05 26A33 35R11 PDFBibTeX XMLCite \textit{M. Hamid} et al., Chaos Solitons Fractals 162, Article ID 112475, 13 p. (2022; Zbl 1506.76119) Full Text: DOI
Younas, U.; Seadawy, Aly R.; Younis, M.; Rizvi, S. T. R. Construction of analytical wave solutions to the conformable fractional dynamical system of ion sound and Langmuir waves. (English) Zbl 1506.76222 Waves Random Complex Media 32, No. 6, 2587-2605 (2022). MSC: 76X05 76M99 26A33 PDFBibTeX XMLCite \textit{U. Younas} et al., Waves Random Complex Media 32, No. 6, 2587--2605 (2022; Zbl 1506.76222) Full Text: DOI
Li, Jia; Li, Botong; Meng, Yahui Solving generalized fractional problem on a funnel-shaped domain depicting viscoelastic fluid in porous medium. (English) Zbl 1497.76006 Appl. Math. Lett. 134, Article ID 108335, 8 p. (2022). MSC: 76A10 76S05 76M12 26A33 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Lett. 134, Article ID 108335, 8 p. (2022; Zbl 1497.76006) Full Text: DOI
Chen, Xuehui; Xie, Hanbing; Yang, Weidong; Chen, Mingwen; Zheng, Liancun Start-up flow in a pipe of a double distributed-order Maxwell fluid. (English) Zbl 1497.76005 Appl. Math. Lett. 134, Article ID 108302, 7 p. (2022). MSC: 76A10 76M20 26A33 PDFBibTeX XMLCite \textit{X. Chen} et al., Appl. Math. Lett. 134, Article ID 108302, 7 p. (2022; Zbl 1497.76005) Full Text: DOI
Asgir, Maryam; Riaz, Muhammad Bilal; Jarad, Fahd; Zafar, Azhar Ali Heat transfer of MHD Oldroyd-B fluid with ramped wall velocity and temperature in view of local and nonlocal differential operators. (English) Zbl 1509.76086 Fractals 30, No. 5, Article ID 2240172, 19 p. (2022). MSC: 76R10 76A10 76W05 76S05 76M99 80A19 26A33 PDFBibTeX XMLCite \textit{M. Asgir} et al., Fractals 30, No. 5, Article ID 2240172, 19 p. (2022; Zbl 1509.76086) Full Text: DOI
An, Shujuan; Tian, Kai; Ding, Zhaodong; Jian, Yongjun Electromagnetohydrodynamic (EMHD) flow of fractional viscoelastic fluids in a microchannel. (English) Zbl 1492.76012 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 6, 917-930 (2022). MSC: 76A10 76M20 26A33 PDFBibTeX XMLCite \textit{S. An} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 6, 917--930 (2022; Zbl 1492.76012) Full Text: DOI
Bai, Xixian; Huang, Jian; Rui, Hongxing; Wang, Shuang Numerical simulation for 2D/3D time fractional Maxwell’s system based on a fast second-order FDTD algorithm. (English) Zbl 1496.65104 J. Comput. Appl. Math. 416, Article ID 114590, 15 p. (2022). MSC: 65M06 65N06 76A25 76M20 26A33 35R11 35Q61 PDFBibTeX XMLCite \textit{X. Bai} et al., J. Comput. Appl. Math. 416, Article ID 114590, 15 p. (2022; Zbl 1496.65104) Full Text: DOI
Sun, HongGuang; Wang, Yuanyuan; Yu, Lin; Yu, Xiangnan A discussion on nonlocality: from fractional derivative model to peridynamic model. (English) Zbl 1495.76103 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106604, 10 p. (2022). MSC: 76R50 76M35 74A70 26A33 PDFBibTeX XMLCite \textit{H. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106604, 10 p. (2022; Zbl 1495.76103) Full Text: DOI
Sabermahani, Sedigheh; Ordokhani, Yadollah; Rahimkhani, Parisa Application of two-dimensional Fibonacci wavelets in fractional partial differential equations arising in the financial market. (English) Zbl 1490.76163 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 129, 20 p. (2022). MSC: 76M22 65T60 26A33 PDFBibTeX XMLCite \textit{S. Sabermahani} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 129, 20 p. (2022; Zbl 1490.76163) Full Text: DOI
Kumari, Pinki; Gupta, R. K.; Kumar, Sachin The time fractional \(D(m, n)\) system: invariant analysis, explicit solution, conservation laws and optical soliton. (English) Zbl 1501.35440 Waves Random Complex Media 32, No. 3, 1322-1337 (2022). Reviewer: Jean-Claude Ndogmo (Thohoyandou) MSC: 35R11 35C08 26A33 76B15 76M60 35B06 PDFBibTeX XMLCite \textit{P. Kumari} et al., Waves Random Complex Media 32, No. 3, 1322--1337 (2022; Zbl 1501.35440) Full Text: DOI
Jiang, Yuehua; Sun, HongGuang; Bai, Yu; Zhang, Yan MHD flow, radiation heat and mass transfer of fractional Burgers’ fluid in porous medium with chemical reaction. (English) Zbl 1524.76017 Comput. Math. Appl. 115, 68-79 (2022). MSC: 76A10 35R11 65M06 76M20 26A33 76V05 76S05 80A19 80A21 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Comput. Math. Appl. 115, 68--79 (2022; Zbl 1524.76017) Full Text: DOI
Natali, Fábio; Le, Uyen; Pelinovsky, Dmitry E. Correction to: “Periodic waves in the fractional modified Korteweg-de Vries equation”. (English) Zbl 1493.76016 J. Dyn. Differ. Equations 34, No. 2, 1641-1642 (2022). MSC: 76B15 76M30 35Q35 35Q53 26A33 PDFBibTeX XMLCite \textit{F. Natali} et al., J. Dyn. Differ. Equations 34, No. 2, 1641--1642 (2022; Zbl 1493.76016) Full Text: DOI
Natali, Fábio; Le, Uyen; Pelinovsky, Dmitry E. Periodic waves in the fractional modified Korteweg-de Vries equation. (English) Zbl 1487.76018 J. Dyn. Differ. Equations 34, No. 2, 1601-1640 (2022); correction ibid. 34, No. 2, 1641-1642 (2022). MSC: 76B15 76M30 35Q35 35Q53 26A33 PDFBibTeX XMLCite \textit{F. Natali} et al., J. Dyn. Differ. Equations 34, No. 2, 1601--1640 (2022; Zbl 1487.76018) Full Text: DOI arXiv
Dipierro, Serena; Maggi, Francesco; Valdinoci, Enrico Minimizing cones for fractional capillarity problems. (English) Zbl 1485.76023 Rev. Mat. Iberoam. 38, No. 2, 635-658 (2022). MSC: 76B45 76M30 49Q05 26A33 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Rev. Mat. Iberoam. 38, No. 2, 635--658 (2022; Zbl 1485.76023) Full Text: DOI
Cai, Min; Kharazmi, Ehsan; Li, Changpin; Karniadakis, George Em Fractional buffer layers: absorbing boundary conditions for wave propagation. (English) Zbl 1485.35376 Commun. Comput. Phys. 31, No. 2, 331-369 (2022). MSC: 35R11 35L05 26A33 65M70 76M22 PDFBibTeX XMLCite \textit{M. Cai} et al., Commun. Comput. Phys. 31, No. 2, 331--369 (2022; Zbl 1485.35376) Full Text: DOI arXiv
Khan, Ilyas; Alqahtani, Aisha M.; Khan, Arshad; Khan, Dolat; Ganie, Abdul Hamid; Ali, Gohar New results of fractal fractional model of drilling nanoliquids with clay nanoparticles. (English) Zbl 1507.35184 Fractals 30, No. 1, Article ID 2250024, 9 p. (2022). MSC: 35Q35 76A05 76R10 80A19 82D80 26A33 35R11 65M06 65N06 76M20 PDFBibTeX XMLCite \textit{I. Khan} et al., Fractals 30, No. 1, Article ID 2250024, 9 p. (2022; Zbl 1507.35184) Full Text: DOI
Chen, Wen; Sun, HongGuang; Li, Xicheng Fractional derivative modeling in mechanics and engineering. (English) Zbl 1492.74001 Singapore: Springer; Beijing: Science Press (ISBN 978-981-16-8801-0/hbk; 978-981-16-8802-7/ebook; 978-7-03-026857-0). xv, 370 p. (2022). MSC: 74-01 76-01 74Sxx 76Mxx 35R11 26A33 PDFBibTeX XMLCite \textit{W. Chen} et al., Fractional derivative modeling in mechanics and engineering. Singapore: Springer; Beijing: Science Press (2022; Zbl 1492.74001) Full Text: DOI
Meng, Yahui; Li, Botong On viscoelastic fluid in a vertical porous media channel with Soret and Dufour effects. (English) Zbl 1524.76018 Appl. Math. Lett. 124, Article ID 107656, 7 p. (2022). MSC: 76A10 76M20 76W05 76A05 26A33 76S05 PDFBibTeX XMLCite \textit{Y. Meng} and \textit{B. Li}, Appl. Math. Lett. 124, Article ID 107656, 7 p. (2022; Zbl 1524.76018) Full Text: DOI
Pandey, P.; Das, S.; Craciun, E.-M.; Sadowski, T. Two-dimensional nonlinear time fractional reaction-diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media. (English) Zbl 1521.76824 Meccanica 56, No. 1, 99-115 (2021). MSC: 76R50 76S05 76V05 76M99 26A33 PDFBibTeX XMLCite \textit{P. Pandey} et al., Meccanica 56, No. 1, 99--115 (2021; Zbl 1521.76824) Full Text: DOI
Liu, Wenhao; Zhang, Yufeng Lie symmetry analysis, analytical solutions and conservation laws to the coupled time fractional variant Boussinesq equations. (English) Zbl 1511.76081 Waves Random Complex Media 31, No. 1, 182-197 (2021). MSC: 76M60 76D99 26A33 PDFBibTeX XMLCite \textit{W. Liu} and \textit{Y. Zhang}, Waves Random Complex Media 31, No. 1, 182--197 (2021; Zbl 1511.76081) Full Text: DOI
Qiao, Yanli; Wang, Xiaoping; Xu, Huanying; Qi, Haitao Numerical analysis for viscoelastic fluid flow with distributed/variable order time fractional Maxwell constitutive models. (English) Zbl 1515.76012 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 12, 1771-1786 (2021). MSC: 76A10 76M20 26A33 PDFBibTeX XMLCite \textit{Y. Qiao} et al., AMM, Appl. Math. Mech., Engl. Ed. 42, No. 12, 1771--1786 (2021; Zbl 1515.76012) Full Text: DOI
Reza Hejazi, S.; Rashidi, Saeede Symmetries, conservation laws and exact solutions of the time-fractional diffusivity equation via Riemann-Liouville and Caputo derivatives. (English) Zbl 1496.76106 Waves Random Complex Media 31, No. 4, 690-711 (2021). MSC: 76M60 76R50 76M55 26A33 PDFBibTeX XMLCite \textit{S. Reza Hejazi} and \textit{S. Rashidi}, Waves Random Complex Media 31, No. 4, 690--711 (2021; Zbl 1496.76106) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Magesh, N.; Nandeppanavar, M. M.; Christopher, A. John Numerical simulation for fractional Jaulent-Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques. (English) Zbl 1504.76062 Waves Random Complex Media 31, No. 6, 1141-1162 (2021). MSC: 76M99 76X05 26A33 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Waves Random Complex Media 31, No. 6, 1141--1162 (2021; Zbl 1504.76062) Full Text: DOI arXiv
Khan, Mumtaz; Rasheed, Amer The space-time coupled fractional Cattaneo-Friedrich Maxwell model with Caputo derivatives. (English) Zbl 1487.80015 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 112, 23 p. (2021). MSC: 80A21 76Rxx 76V05 76W05 76S05 26A33 35R11 80M10 80M20 76M10 76M20 PDFBibTeX XMLCite \textit{M. Khan} and \textit{A. Rasheed}, Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 112, 23 p. (2021; Zbl 1487.80015) Full Text: DOI
Khan, Imran; Ullah, Hakeem; AlSalman, Hussain; Fiza, Mehreen; Islam, Saeed; Shoaib, Muhammad; Raja, Muhammad Asif Zahoor; Gumaei, Abdu; Ikhlaq, Farkhanda Fractional analysis of MHD boundary layer flow over a stretching sheet in porous medium: a new stochastic method. (English) Zbl 1495.76132 J. Funct. Spaces 2021, Article ID 5844741, 19 p. (2021). MSC: 76W05 76S05 76M35 76M45 26A33 68T05 PDFBibTeX XMLCite \textit{I. Khan} et al., J. Funct. Spaces 2021, Article ID 5844741, 19 p. (2021; Zbl 1495.76132) Full Text: DOI
Siddique, Imran; Akgül, Ali; Kahsay, Hafte Amsalu; Tsegay, Teklay Hailay; Wubneh, Kahsay Godifey Applications of magnetohydrodynamic couple stress fluid flow between two parallel plates with three different kernels. (English) Zbl 1501.76092 J. Funct. Spaces 2021, Article ID 7082262, 11 p. (2021). MSC: 76W05 76A99 76M20 26A33 28A80 PDFBibTeX XMLCite \textit{I. Siddique} et al., J. Funct. Spaces 2021, Article ID 7082262, 11 p. (2021; Zbl 1501.76092) Full Text: DOI
Zhang, Zhi-Yong; Guo, Lei-Lei An alternative technique for the symmetry reduction of time-fractional partial differential equation. (English) Zbl 1484.35399 Math. Methods Appl. Sci. 44, No. 18, 14957-14962 (2021). MSC: 35R11 26A33 35C05 35C10 76M60 PDFBibTeX XMLCite \textit{Z.-Y. Zhang} and \textit{L.-L. Guo}, Math. Methods Appl. Sci. 44, No. 18, 14957--14962 (2021; Zbl 1484.35399) Full Text: DOI
Avrutskiy, V. I.; Ishkhanyan, A. M.; Krainov, V. P. Fractional derivative method for describing solitons on the surface of deep water. (English. Russian original) Zbl 1487.76021 Theor. Math. Phys. 208, No. 3, 1201-1206 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 409-415 (2021). MSC: 76B25 76M22 26A33 PDFBibTeX XMLCite \textit{V. I. Avrutskiy} et al., Theor. Math. Phys. 208, No. 3, 1201--1206 (2021; Zbl 1487.76021); translation from Teor. Mat. Fiz. 208, No. 3, 409--415 (2021) Full Text: DOI
Guan, Zhen; Wang, Xiaodong; Ouyang, Jie An improved finite difference/finite element method for the fractional Rayleigh-Stokes problem with a nonlinear source term. (English) Zbl 1481.76152 J. Appl. Math. Comput. 65, No. 1-2, 451-479 (2021). MSC: 76M20 76M10 76A10 26A33 65M12 PDFBibTeX XMLCite \textit{Z. Guan} et al., J. Appl. Math. Comput. 65, No. 1--2, 451--479 (2021; Zbl 1481.76152) Full Text: DOI
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic A finite element method for degenerate two-phase flow in porous media. II: Convergence. (English) Zbl 1481.65183 J. Numer. Math. 29, No. 3, 187-219 (2021). MSC: 65M60 65M22 65N30 65M12 65M15 35D30 76S05 76T06 76M10 35Q35 26A33 35R11 PDFBibTeX XMLCite \textit{V. Girault} et al., J. Numer. Math. 29, No. 3, 187--219 (2021; Zbl 1481.65183) Full Text: DOI
Ali, Zeeshan; Nia, Shayan Naseri; Rabiei, Faranak; Shah, Kamal; Tan, Ming Kwang A semianalytical approach to the solution of time-fractional Navier-Stokes equation. (English) Zbl 1481.76066 Adv. Math. Phys. 2021, Article ID 5547804, 13 p. (2021). MSC: 76D05 76M45 26A33 PDFBibTeX XMLCite \textit{Z. Ali} et al., Adv. Math. Phys. 2021, Article ID 5547804, 13 p. (2021; Zbl 1481.76066) Full Text: DOI
Shah, Nehad Ali; Al-Zubaidi, A.; Saleem, S. Study of magnetohydrodynamic pulsatile blood flow through an inclined porous cylindrical tube with generalized time-nonlocal shear stress. (English) Zbl 1481.76296 Adv. Math. Phys. 2021, Article ID 5546701, 11 p. (2021). MSC: 76Z05 76S05 76W05 76M99 92C35 26A33 PDFBibTeX XMLCite \textit{N. A. Shah} et al., Adv. Math. Phys. 2021, Article ID 5546701, 11 p. (2021; Zbl 1481.76296) Full Text: DOI
Sene, Ndolane A numerical algorithm applied to free convection flows of the Casson fluid along with heat and mass transfer described by the Caputo derivative. (English) Zbl 1481.76155 Adv. Math. Phys. 2021, Article ID 5225019, 11 p. (2021). MSC: 76M20 76R10 76R50 76A05 80A19 26A33 PDFBibTeX XMLCite \textit{N. Sene}, Adv. Math. Phys. 2021, Article ID 5225019, 11 p. (2021; Zbl 1481.76155) Full Text: DOI
Chi, Xiaoqing; Zhang, Hui Numerical study for the unsteady space fractional magnetohydrodynamic free convective flow and heat transfer with Hall effects. (English) Zbl 1475.76085 Appl. Math. Lett. 120, Article ID 107312, 8 p. (2021). MSC: 76R10 76W05 76M20 76M22 80A19 26A33 PDFBibTeX XMLCite \textit{X. Chi} and \textit{H. Zhang}, Appl. Math. Lett. 120, Article ID 107312, 8 p. (2021; Zbl 1475.76085) Full Text: DOI
Feng, Chenqing; Si, Xinhui; Cao, Limei; Zhu, Beibei The slip flow of generalized Maxwell fluids with time-distributed characteristics in a rotating microchannel. (English) Zbl 1475.76006 Appl. Math. Lett. 120, Article ID 107260, 8 p. (2021). MSC: 76A10 76W05 76U05 76M20 26A33 PDFBibTeX XMLCite \textit{C. Feng} et al., Appl. Math. Lett. 120, Article ID 107260, 8 p. (2021; Zbl 1475.76006) Full Text: DOI
Kania, Maria B. MHD equations in a bounded domain. (English) Zbl 1479.35672 Ann. Math. Sil. 35, No. 2, 211-235 (2021). MSC: 35Q35 35S15 35K90 35B65 76W05 76M60 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{M. B. Kania}, Ann. Math. Sil. 35, No. 2, 211--235 (2021; Zbl 1479.35672) Full Text: DOI
Riaz, Muhammad Bilal; Saeed, Syed Tauseef Comprehensive analysis of integer-order, Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent boundary condition. (English) Zbl 1480.76008 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3719-3746 (2021). MSC: 76A10 76W05 76M99 26A33 PDFBibTeX XMLCite \textit{M. B. Riaz} and \textit{S. T. Saeed}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3719--3746 (2021; Zbl 1480.76008) Full Text: DOI
Nikan, Omid; Molavi-Arabshai, Seyedeh Mahboubeh; Jafari, Hossein Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves. (English) Zbl 1480.76164 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3685-3701 (2021). MSC: 76X05 76M20 65M12 26A33 PDFBibTeX XMLCite \textit{O. Nikan} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3685--3701 (2021; Zbl 1480.76164) Full Text: DOI
Gallouët, T.; Herbin, R.; Latché, J.-C.; Therme, N. Consistent internal energy based schemes for the compressible Euler equations. (English) Zbl 1498.65141 Greiner, David (ed.) et al., Numerical simulation in physics and engineering: trends and applications. Lecture notes of the XVIII ‘Jacques-Louis Lions’ Spanish-French school, Las Palmas de Gran Canaria, Spain, June 25–29, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 24, 119-154 (2021). MSC: 65M08 65M06 65N08 35Q31 76N10 76M20 76M12 26A33 35R11 PDFBibTeX XMLCite \textit{T. Gallouët} et al., SEMA SIMAI Springer Ser. 24, 119--154 (2021; Zbl 1498.65141) Full Text: DOI arXiv
Chatibi, Youness; El Kinani, El Hassan; Ouhadan, Abdelaziz On the discrete symmetry analysis of some classical and fractional differential equations. (English) Zbl 1469.76081 Math. Methods Appl. Sci. 44, No. 4, 2868-2878 (2021). MSC: 76M60 76D10 76R50 26A33 PDFBibTeX XMLCite \textit{Y. Chatibi} et al., Math. Methods Appl. Sci. 44, No. 4, 2868--2878 (2021; Zbl 1469.76081) Full Text: DOI
Jani, Mostafa; Babolian, Esmail; Bhatta, Dambaru A Petrov-Galerkin spectral method for the numerical simulation and analysis of fractional anomalous diffusion. (English) Zbl 1486.65201 Math. Methods Appl. Sci. 44, No. 2, 2021-2032 (2021). MSC: 65M70 26A33 35R11 65M22 76M22 PDFBibTeX XMLCite \textit{M. Jani} et al., Math. Methods Appl. Sci. 44, No. 2, 2021--2032 (2021; Zbl 1486.65201) Full Text: DOI
Singla, Komal Existence of series solutions for certain nonlinear systems of time fractional partial differential equations. (English) Zbl 1469.35231 J. Geom. Phys. 167, Article ID 104301, 14 p. (2021). MSC: 35R11 35C10 26A33 34A08 76M60 PDFBibTeX XMLCite \textit{K. Singla}, J. Geom. Phys. 167, Article ID 104301, 14 p. (2021; Zbl 1469.35231) Full Text: DOI
Zhao, Jinhu Finite volume method for mixed convection boundary layer flow of viscoelastic fluid with spatial fractional derivatives over a flat plate. (English) Zbl 1465.76009 Comput. Appl. Math. 40, No. 1, Paper No. 10, 17 p. (2021). MSC: 76A10 76M12 76R05 76R10 76D10 26A33 PDFBibTeX XMLCite \textit{J. Zhao}, Comput. Appl. Math. 40, No. 1, Paper No. 10, 17 p. (2021; Zbl 1465.76009) Full Text: DOI
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. (English) Zbl 1524.65814 Comput. Math. Appl. 91, 53-66 (2021). MSC: 65N30 76M10 76S05 76D07 65N15 65F08 35R11 26A33 65F10 65N12 PDFBibTeX XMLCite \textit{K. E. Holter} et al., Comput. Math. Appl. 91, 53--66 (2021; Zbl 1524.65814) Full Text: DOI arXiv
Maarouf, Nisrine; Maadan, Hicham; Hilal, Khalid Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation. (English) Zbl 1473.76043 Int. J. Differ. Equ. 2021, Article ID 6614231, 11 p. (2021). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 76M60 76B15 76M45 26A33 PDFBibTeX XMLCite \textit{N. Maarouf} et al., Int. J. Differ. Equ. 2021, Article ID 6614231, 11 p. (2021; Zbl 1473.76043) Full Text: DOI
Keith, Brendan; Khristenko, Ustim; Wohlmuth, Barbara A fractional PDE model for turbulent velocity fields near solid walls. (English) Zbl 1485.76055 J. Fluid Mech. 916, Paper No. A21, 30 p. (2021). MSC: 76F40 76F55 76M22 26A33 PDFBibTeX XMLCite \textit{B. Keith} et al., J. Fluid Mech. 916, Paper No. A21, 30 p. (2021; Zbl 1485.76055) Full Text: DOI arXiv
Khader, M. M.; Saad, Khaled M.; Hammouch, Zakia; Baleanu, Dumitru A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. (English) Zbl 1457.76114 Appl. Numer. Math. 161, 137-146 (2021). MSC: 76M22 76M20 76B15 65M15 26A33 PDFBibTeX XMLCite \textit{M. M. Khader} et al., Appl. Numer. Math. 161, 137--146 (2021; Zbl 1457.76114) Full Text: DOI
Singla, Komal; Gupta, R. K. Symmetry classification and exact solutions of \((3+1)\)-dimensional fractional nonlinear incompressible non-hydrostatic coupled Boussinesq equations. (English) Zbl 1456.76024 J. Math. Phys. 62, No. 1, Article ID 011504, 17 p. (2021). MSC: 76B15 76M60 76M55 26A33 PDFBibTeX XMLCite \textit{K. Singla} and \textit{R. K. Gupta}, J. Math. Phys. 62, No. 1, Article ID 011504, 17 p. (2021; Zbl 1456.76024) Full Text: DOI
Singla, Komal; Rana, M. Exact solutions and conservation laws of multi Kaup-Boussinesq system with fractional order. (English) Zbl 1456.35221 Anal. Math. Phys. 11, No. 1, Paper No. 30, 15 p. (2021). MSC: 35R11 35B06 26A33 34A08 76M60 70S10 PDFBibTeX XMLCite \textit{K. Singla} and \textit{M. Rana}, Anal. Math. Phys. 11, No. 1, Paper No. 30, 15 p. (2021; Zbl 1456.35221) Full Text: DOI
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. (English) Zbl 1452.76227 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105454, 22 p. (2021). MSC: 76R50 76M20 26A33 PDFBibTeX XMLCite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105454, 22 p. (2021; Zbl 1452.76227) Full Text: DOI
Khan, Muhammad Asim; Ali, Norhashidah Hj. Mohd High-order compact scheme for the two-dimensional fractional Rayleigh-Stokes problem for a heated generalized second-grade fluid. (English) Zbl 1482.76086 Adv. Difference Equ. 2020, Paper No. 233, 21 p. (2020). MSC: 76M20 65M06 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{M. A. Khan} and \textit{N. Hj. M. Ali}, Adv. Difference Equ. 2020, Paper No. 233, 21 p. (2020; Zbl 1482.76086) Full Text: DOI
Abro, Kashif Ali; Khan, Ilyas; Sooppy Nisar, Kottakkaran The role of Fox-H function in analytic and fractional modeling of helicity of cylinder: fractional generalized Burger fluid. (English) Zbl 1482.76005 Fractals 28, No. 8, Article ID 2040050, 13 p. (2020). MSC: 76A05 76M45 26A33 PDFBibTeX XMLCite \textit{K. A. Abro} et al., Fractals 28, No. 8, Article ID 2040050, 13 p. (2020; Zbl 1482.76005) Full Text: DOI
Yue, Chen; Lu, Dianchen; Khater, Mostafa M. A.; Abdel-Aty, Abdel-Haleem; Alharbi, W.; Attia, Raghda A. M. On explicit wave solutions of the fractional nonlinear DSW system via the modified Khater method. (English) Zbl 1482.76026 Fractals 28, No. 8, Article ID 2040034, 10 p. (2020). MSC: 76B15 76B25 76M99 26A33 PDFBibTeX XMLCite \textit{C. Yue} et al., Fractals 28, No. 8, Article ID 2040034, 10 p. (2020; Zbl 1482.76026) Full Text: DOI
Asjad, Muhammad Imran Novel fractional differential operator and its application in fluid dynamics. (English) Zbl 1490.76065 J. Prime Res. Math. 16, No. 2, 67-79 (2020). MSC: 76D05 76M45 26A33 PDFBibTeX XMLCite \textit{M. I. Asjad}, J. Prime Res. Math. 16, No. 2, 67--79 (2020; Zbl 1490.76065) Full Text: Link
Liu, Qingxia; Zhuang, Pinghui; Liu, Fawang; Lai, Junjiang; Anh, Vo; Chen, Shanzhen An investigation of radial basis functions for fractional derivatives and their applications. (English) Zbl 1496.76111 Comput. Mech. 65, No. 2, 475-486 (2020). MSC: 76M99 74S40 26A33 PDFBibTeX XMLCite \textit{Q. Liu} et al., Comput. Mech. 65, No. 2, 475--486 (2020; Zbl 1496.76111) Full Text: DOI
Khan, Abdul Quayam; Rasheed, Amer Effects of exponential variable viscosity on heat transfer flow of MHD fractional Maxwell fluid. (English) Zbl 1469.76148 Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 136, 16 p. (2020). Reviewer: W. Sridhar (Vaddeswaram) MSC: 76W05 76A10 76M20 80A19 26A33 PDFBibTeX XMLCite \textit{A. Q. Khan} and \textit{A. Rasheed}, Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 136, 16 p. (2020; Zbl 1469.76148) Full Text: DOI
Li, Junfeng; Si, Xinhui; Li, Botong; Cao, Limei; Zhang, Peipei The effects of depletion layer for electro-osmotic flow of fractional second-grade viscoelastic fluid in a micro-rectangle channel. (English) Zbl 1465.76111 Appl. Math. Comput. 385, Article ID 125409, 11 p. (2020). MSC: 76W05 76A10 76M20 26A33 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Comput. 385, Article ID 125409, 11 p. (2020; Zbl 1465.76111) Full Text: DOI
Saeed, Syed Tauseef; Khan, Ilyas; Riaz, Muhammad Bilal; Husnine, Syed Muhammad Study of heat transfer under the impact of thermal radiation, ramped velocity, and ramped temperature on the MHD Oldroyd-B fluid subject to noninteger differentiable operators. (English) Zbl 1466.76050 J. Math. 2020, Article ID 8890820, 14 p. (2020). MSC: 76W05 76A10 76S05 76M99 80A21 26A33 PDFBibTeX XMLCite \textit{S. T. Saeed} et al., J. Math. 2020, Article ID 8890820, 14 p. (2020; Zbl 1466.76050) Full Text: DOI
Bulavatsky, V. M.; Bohaienko, V. O. Some consolidation dynamics problems within the framework of the biparabolic mathematical model and its fractional-differential analog. (English. Russian original) Zbl 1459.76145 Cybern. Syst. Anal. 56, No. 5, 770-783 (2020); translation from Kibern. Sist. Anal. 2020, No. 5, 100-114 (2020). MSC: 76S05 76M21 35Q35 26A33 86A05 PDFBibTeX XMLCite \textit{V. M. Bulavatsky} and \textit{V. O. Bohaienko}, Cybern. Syst. Anal. 56, No. 5, 770--783 (2020; Zbl 1459.76145); translation from Kibern. Sist. Anal. 2020, No. 5, 100--114 (2020) Full Text: DOI
Shi, Jiankang; Chen, Minghua Correction of high-order BDF convolution quadrature for fractional Feynman-Kac equation with Lévy flight. (English) Zbl 1480.76088 J. Sci. Comput. 85, No. 2, Paper No. 28, 22 p. (2020). MSC: 76M22 76R99 26A33 PDFBibTeX XMLCite \textit{J. Shi} and \textit{M. Chen}, J. Sci. Comput. 85, No. 2, Paper No. 28, 22 p. (2020; Zbl 1480.76088) Full Text: DOI arXiv
Lin, Zeng; Wang, Dongdong; Qi, Dongliang; Deng, Like A Petrov-Galerkin finite element-meshfree formulation for multi-dimensional fractional diffusion equations. (English) Zbl 1465.76052 Comput. Mech. 66, No. 2, 323-350 (2020). MSC: 76M10 76R50 26A33 PDFBibTeX XMLCite \textit{Z. Lin} et al., Comput. Mech. 66, No. 2, 323--350 (2020; Zbl 1465.76052) Full Text: DOI
Akgül, Ali; Cordero, Alicia; Torregrosa, Juan Ramon Solutions of fractional gas dynamics equation by a new technique. (English) Zbl 1461.76363 Math. Methods Appl. Sci. 43, No. 3, 1349-1358 (2020). MSC: 76M99 76N15 26A33 PDFBibTeX XMLCite \textit{A. Akgül} et al., Math. Methods Appl. Sci. 43, No. 3, 1349--1358 (2020; Zbl 1461.76363) Full Text: DOI
Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian W. Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients. (English) Zbl 1446.65082 Appl. Numer. Math. 157, 55-68 (2020). MSC: 65M06 65M12 65H10 35R11 26A33 76S05 60K35 76M20 35R05 PDFBibTeX XMLCite \textit{S. Yang} et al., Appl. Numer. Math. 157, 55--68 (2020; Zbl 1446.65082) Full Text: DOI
Wang, Xiaoping; Xu, Huanying; Qi, Haitao Numerical analysis for rotating electro-osmotic flow of fractional Maxwell fluids. (English) Zbl 1450.76039 Appl. Math. Lett. 103, Article ID 106179, 8 p. (2020). MSC: 76U05 76W05 76A10 76M20 26A33 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Lett. 103, Article ID 106179, 8 p. (2020; Zbl 1450.76039) Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states. (English) Zbl 1444.76070 J. Sci. Comput. 83, No. 2, Paper No. 33, 29 p. (2020). MSC: 76M10 76M99 76R50 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{D. Nie} et al., J. Sci. Comput. 83, No. 2, Paper No. 33, 29 p. (2020; Zbl 1444.76070) Full Text: DOI arXiv
Li, Botong; Liu, Fawang Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface. (English) Zbl 1437.65104 Comput. Math. Appl. 79, No. 8, 2376-2387 (2020). MSC: 65M06 65M12 76M20 26A33 35R11 76A10 PDFBibTeX XMLCite \textit{B. Li} and \textit{F. Liu}, Comput. Math. Appl. 79, No. 8, 2376--2387 (2020; Zbl 1437.65104) Full Text: DOI
Cesbron, L.; Mellet, A.; Puel, M. Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in the upper-half space. (English) Zbl 1481.76185 Arch. Ration. Mech. Anal. 235, No. 2, 1245-1288 (2020). MSC: 76P05 76R50 76M45 26A33 PDFBibTeX XMLCite \textit{L. Cesbron} et al., Arch. Ration. Mech. Anal. 235, No. 2, 1245--1288 (2020; Zbl 1481.76185) Full Text: DOI arXiv
Liu, Huan; Cheng, Aijie; Wang, Hong A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation. (English) Zbl 1459.76081 J. Comput. Appl. Math. 368, Article ID 112482, 18 p. (2020). MSC: 76M10 76T99 26A33 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Comput. Appl. Math. 368, Article ID 112482, 18 p. (2020; Zbl 1459.76081) Full Text: DOI
Du, Rui; Liu, Zixuan A lattice Boltzmann model for the fractional advection-diffusion equation coupled with incompressible Navier-Stokes equation. (English) Zbl 1431.35097 Appl. Math. Lett. 101, Article ID 106074, 6 p. (2020). MSC: 35Q20 35R11 26A33 35Q30 76M28 82C40 76D05 PDFBibTeX XMLCite \textit{R. Du} and \textit{Z. Liu}, Appl. Math. Lett. 101, Article ID 106074, 6 p. (2020; Zbl 1431.35097) Full Text: DOI
Chauhan, Astha; Arora, Rajan Time fractional Kupershmidt equation: symmetry analysis and explicit series solution with convergence analysis. (English) Zbl 1464.34018 Commun. Math. 27, No. 2, 171-185 (2019). MSC: 34A08 26A33 76M60 PDFBibTeX XMLCite \textit{A. Chauhan} and \textit{R. Arora}, Commun. Math. 27, No. 2, 171--185 (2019; Zbl 1464.34018) Full Text: DOI
Thirumalai, Sagithya; Seshadri, Rajeswari Spectral solutions of fractional differential equation modelling electrohydrodynamics flow in a cylindrical conduit. (English) Zbl 1460.76645 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104931, 15 p. (2019). MSC: 76M22 76W05 26A33 PDFBibTeX XMLCite \textit{S. Thirumalai} and \textit{R. Seshadri}, Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104931, 15 p. (2019; Zbl 1460.76645) Full Text: DOI
Zhang, Jun Numerical method for MHD flows of fractional viscous equation. (Chinese. English summary) Zbl 1449.65211 J. Sichuan Norm. Univ., Nat. Sci. 42, No. 5, 654-658 (2019). MSC: 65M06 65M70 65M12 65M15 35R11 26A33 65N35 76W05 76M20 76M22 35Q35 PDFBibTeX XMLCite \textit{J. Zhang}, J. Sichuan Norm. Univ., Nat. Sci. 42, No. 5, 654--658 (2019; Zbl 1449.65211)
Kumar, Sunil; Kumar, Amit; Nieto, J. J.; Sharma, B. Atangana-Baleanu derivative with fractional order applied to the gas dynamics equations. (English) Zbl 1440.76132 Gómez, José Francisco (ed.) et al., Fractional derivatives with Mittag-Leffler kernel. Trends and applications in science and engineering. Cham: Springer. Stud. Syst. Decis. Control 194, 235-251 (2019). MSC: 76M45 76N15 26A33 PDFBibTeX XMLCite \textit{S. Kumar} et al., Stud. Syst. Decis. Control 194, 235--251 (2019; Zbl 1440.76132) Full Text: DOI
Feulefack, Pierre Aime; Djida, Jean Daniel; Abdon, Atangana A new model of groundwater flow within an unconfined aquifer: application of Caputo-Fabrizio fractional derivative. (English) Zbl 1416.76175 Discrete Contin. Dyn. Syst., Ser. B 24, No. 7, 3227-3247 (2019). MSC: 76M20 76S05 26A33 PDFBibTeX XMLCite \textit{P. A. Feulefack} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 7, 3227--3247 (2019; Zbl 1416.76175) Full Text: DOI
Liu, Q. X.; Chen, Y. M.; Liu, J. K. An improved Yuan-Agrawal method with rapid convergence rate for fractional differential equations. (English) Zbl 1470.74068 Comput. Mech. 63, No. 4, 713-723 (2019). MSC: 74S40 76M99 65L20 26A33 PDFBibTeX XMLCite \textit{Q. X. Liu} et al., Comput. Mech. 63, No. 4, 713--723 (2019; Zbl 1470.74068) Full Text: DOI
Li, Xiaoli; Rui, Hongxing; Chen, Shuangshuang Stability and superconvergence of efficient MAC schemes for fractional Stokes equation on non-uniform grids. (English) Zbl 1435.76051 Appl. Numer. Math. 138, 30-53 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 76M20 76D07 65M06 65M12 26A33 PDFBibTeX XMLCite \textit{X. Li} et al., Appl. Numer. Math. 138, 30--53 (2019; Zbl 1435.76051) Full Text: DOI
Liu, XiaoTing; Sun, HongGuang; Zhang, Yong; Fu, Zhuojia A scale-dependent finite difference approximation for time fractional differential equation. (English) Zbl 1467.76038 Comput. Mech. 63, No. 3, 429-442 (2019). MSC: 76M20 76R50 26A33 PDFBibTeX XMLCite \textit{X. Liu} et al., Comput. Mech. 63, No. 3, 429--442 (2019; Zbl 1467.76038) Full Text: DOI
Hasan, Mohammad Tanzil; Lin, Yumin A numerical method for the time fractional model of generalised second grade fluid through porous media. (English) Zbl 1462.76132 East Asian J. Appl. Math. 8, No. 4, 809-833 (2018). MSC: 76M20 76M22 76A10 76S05 65M12 26A33 PDFBibTeX XMLCite \textit{M. T. Hasan} and \textit{Y. Lin}, East Asian J. Appl. Math. 8, No. 4, 809--833 (2018; Zbl 1462.76132) Full Text: DOI
Yang, Shuai; Wang, Liping; Zhang, Shuqin Conformable derivative: application to non-Darcian flow in low-permeability porous media. (English) Zbl 1459.76154 Appl. Math. Lett. 79, 105-110 (2018). MSC: 76S05 76M99 26A33 PDFBibTeX XMLCite \textit{S. Yang} et al., Appl. Math. Lett. 79, 105--110 (2018; Zbl 1459.76154) Full Text: DOI
Liu, Lin; Liu, Fawang Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness. (English) Zbl 1460.76028 Appl. Math. Lett. 79, 92-99 (2018). MSC: 76A10 76D10 76M20 26A33 PDFBibTeX XMLCite \textit{L. Liu} and \textit{F. Liu}, Appl. Math. Lett. 79, 92--99 (2018; Zbl 1460.76028) Full Text: DOI Link
Lin, Shimin; Azaïez, Mejdi; Xu, Chuanju A fractional Stokes equation and its spectral approximation. (English) Zbl 1410.35097 Int. J. Numer. Anal. Model. 15, No. 1-2, 170-192 (2018). MSC: 35Q30 26A33 49K40 76M22 35R11 35D30 35A15 65N35 65N15 PDFBibTeX XMLCite \textit{S. Lin} et al., Int. J. Numer. Anal. Model. 15, No. 1--2, 170--192 (2018; Zbl 1410.35097) Full Text: Link
Shivanian, Elyas; Jafarabadi, Ahmad Analysis of the spectral meshless radial point interpolation for solving fractional reaction-subdiffusion equation. (English) Zbl 1462.76134 J. Comput. Appl. Math. 336, 98-113 (2018). MSC: 76M22 76R50 76V05 26A33 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, J. Comput. Appl. Math. 336, 98--113 (2018; Zbl 1462.76134) Full Text: DOI
Ahmadian, A.; Ismail, F.; Salahshour, S.; Baleanu, Dumitru; Ghaemi, F. Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution. (English) Zbl 1455.76014 Commun. Nonlinear Sci. Numer. Simul. 53, 44-64 (2017). MSC: 76A10 76M22 26A33 PDFBibTeX XMLCite \textit{A. Ahmadian} et al., Commun. Nonlinear Sci. Numer. Simul. 53, 44--64 (2017; Zbl 1455.76014) Full Text: DOI Link
Singla, Komal; Gupta, R. K. Conservation laws for certain time fractional nonlinear systems of partial differential equations. (English) Zbl 07261234 Commun. Nonlinear Sci. Numer. Simul. 53, 10-21 (2017). MSC: 35R11 26A33 34A08 76M60 70S10 PDFBibTeX XMLCite \textit{K. Singla} and \textit{R. K. Gupta}, Commun. Nonlinear Sci. Numer. Simul. 53, 10--21 (2017; Zbl 07261234) Full Text: DOI
Martelloni, Gianluca; Bagnoli, Franco; Guarino, Alessio A 3D model for rain-induced landslides based on molecular dynamics with fractal and fractional water diffusion. (English) Zbl 1459.76140 Commun. Nonlinear Sci. Numer. Simul. 50, 311-329 (2017). MSC: 76R50 76T99 76M99 74L05 74A25 26A33 PDFBibTeX XMLCite \textit{G. Martelloni} et al., Commun. Nonlinear Sci. Numer. Simul. 50, 311--329 (2017; Zbl 1459.76140) Full Text: DOI arXiv
Cao, Wen; Xu, Qinwu; Zheng, Zhoushun Solution of two-dimensional time-fractional Burgers equation with high and low Reynolds numbers. (English) Zbl 1444.35145 Adv. Difference Equ. 2017, Paper No. 338, 14 p. (2017). MSC: 35R11 35Q35 26A33 76M20 PDFBibTeX XMLCite \textit{W. Cao} et al., Adv. Difference Equ. 2017, Paper No. 338, 14 p. (2017; Zbl 1444.35145) Full Text: DOI
Raza, Nauman; Shahid, Iqra; Abdullah, M. A hybrid technique for the solution of unsteady Maxwell fluid with fractional derivatives due to tangential shear stress. (English. Russian original) Zbl 1384.76009 Fluid Dyn. 52, No. 6, 713-721 (2017); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2017, No. 6, 3-12 (2017). MSC: 76A10 76M25 26A33 PDFBibTeX XMLCite \textit{N. Raza} et al., Fluid Dyn. 52, No. 6, 713--721 (2017; Zbl 1384.76009); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2017, No. 6, 3--12 (2017) Full Text: DOI
Qin, Chun-Yan; Tian, Shou-Fu; Wang, Xiu-Bin; Zhang, Tian-Tian Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation. (English) Zbl 1366.35224 Waves Random Complex Media 27, No. 2, 308-324 (2017). MSC: 35R11 76M60 35B06 26A33 34A08 PDFBibTeX XMLCite \textit{C.-Y. Qin} et al., Waves Random Complex Media 27, No. 2, 308--324 (2017; Zbl 1366.35224) Full Text: DOI