Kumar, Saurabh; Gupta, Vikas Collocation method with Lagrange polynomials for variable-order time-fractional advection-diffusion problems. (English) Zbl 07823736 Math. Methods Appl. Sci. 47, No. 2, 1113-1131 (2024). MSC: 35R11 65M12 65N35 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{V. Gupta}, Math. Methods Appl. Sci. 47, No. 2, 1113--1131 (2024; Zbl 07823736) Full Text: DOI
Yu, Boyang; Li, Yonghai; Liu, Jiangguo A positivity-preserving and robust fast solver for time-fractional convection-diffusion problems. (English) Zbl 07802478 J. Sci. Comput. 98, No. 3, Paper No. 59, 26 p. (2024). MSC: 65M08 65M06 65N08 65H10 65M12 65M15 76R50 41A25 26A33 35R11 PDFBibTeX XMLCite \textit{B. Yu} et al., J. Sci. Comput. 98, No. 3, Paper No. 59, 26 p. (2024; Zbl 07802478) Full Text: DOI
Liu, Jianming; Li, Xin Kai; Hu, Xiuling A novel local Hermite radial basis function-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation with Neumann boundary conditions. (English) Zbl 07777344 Numer. Methods Partial Differ. Equations 39, No. 4, 2998-3019 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Liu} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 2998--3019 (2023; Zbl 07777344) Full Text: DOI OA License
Yue, Zihan; Jiang, Wei; Liu, Zhuoyue; Zhang, Biao A meshless method for solving two-dimensional distributed-order time-fractional cable equation. (English) Zbl 1517.65076 Appl. Math. Lett. 140, Article ID 108565, 8 p. (2023). MSC: 65M06 65K10 65N15 35A01 35A02 35R09 92C20 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Yue} et al., Appl. Math. Lett. 140, Article ID 108565, 8 p. (2023; Zbl 1517.65076) Full Text: DOI
Saha Ray, S. Two competent novel techniques based on two-dimensional wavelets for nonlinear variable-order Riesz space-fractional Schrödinger equations. (English) Zbl 07697400 J. Comput. Appl. Math. 424, Article ID 114971, 30 p. (2023). MSC: 65M70 26A33 65N35 PDFBibTeX XMLCite \textit{S. Saha Ray}, J. Comput. Appl. Math. 424, Article ID 114971, 30 p. (2023; Zbl 07697400) Full Text: DOI
Jiang, Tao; Wang, Xing-Chi; Ren, Jin-Lian; Huang, Jin-Jing; Yuan, Jin-Yun A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers’ problems. (English) Zbl 07692049 Comput. Math. Appl. 140, 260-281 (2023). MSC: 35R11 65M12 76M99 65M70 35L67 PDFBibTeX XMLCite \textit{T. Jiang} et al., Comput. Math. Appl. 140, 260--281 (2023; Zbl 07692049) Full Text: DOI
Xu, Yi; Sun, HongGuang; Zhang, Yuhui; Sun, Hai-Wei; Lin, Ji A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems. (English) Zbl 07691989 Comput. Math. Appl. 142, 107-120 (2023). MSC: 65-XX 35R11 65M70 26A33 65M06 65N35 PDFBibTeX XMLCite \textit{Y. Xu} et al., Comput. Math. Appl. 142, 107--120 (2023; Zbl 07691989) Full Text: DOI
Bahmani, Erfan; Shokri, Ali Numerical study of the variable-order time-fractional mobile/immobile advection-diffusion equation using direct meshless local Petrov-Galerkin methods. (English) Zbl 07667339 Comput. Math. Appl. 135, 111-123 (2023). MSC: 65-XX 35R11 65M06 65M60 65M12 26A33 PDFBibTeX XMLCite \textit{E. Bahmani} and \textit{A. Shokri}, Comput. Math. Appl. 135, 111--123 (2023; Zbl 07667339) Full Text: DOI
Wei, Leilei; Wang, Huanhuan Local discontinuous Galerkin method for multi-term variable-order time fractional diffusion equation. (English) Zbl 07594654 Math. Comput. Simul. 203, 685-698 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{L. Wei} and \textit{H. Wang}, Math. Comput. Simul. 203, 685--698 (2023; Zbl 07594654) Full Text: DOI
Wang, Zhen High-order numerical algorithms for the time-fractional convection-diffusion equation. (English) Zbl 1513.65388 Int. J. Comput. Math. 99, No. 11, 2327-2348 (2022). MSC: 65M60 65M06 65N30 65M12 76R50 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Wang}, Int. J. Comput. Math. 99, No. 11, 2327--2348 (2022; Zbl 1513.65388) Full Text: DOI
Hu, Wen; Fu, Zhuojia; Tang, Zhuochao; Gu, Yan A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials. (English) Zbl 1521.74416 Eng. Anal. Bound. Elem. 140, 132-144 (2022). MSC: 74S99 65M32 35R11 65M70 74A15 PDFBibTeX XMLCite \textit{W. Hu} et al., Eng. Anal. Bound. Elem. 140, 132--144 (2022; Zbl 1521.74416) Full Text: DOI
Bhardwaj, Akanksha; Kumar, Alpesh; Tiwari, Awanish Kumar An RBF based finite difference method for the numerical approximation of multi-term nonlinear time fractional two dimensional diffusion-wave equation. (English) Zbl 1499.65553 Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 84, 25 p. (2022). MSC: 65M70 35R11 65D12 65M12 PDFBibTeX XMLCite \textit{A. Bhardwaj} et al., Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 84, 25 p. (2022; Zbl 1499.65553) Full Text: DOI
Derakhshan, M. H. Existence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanics. (English) Zbl 07534934 J. Appl. Math. Comput. 68, No. 1, 403-429 (2022). MSC: 65Mxx 26A33 34A08 65M70 65N12 PDFBibTeX XMLCite \textit{M. H. Derakhshan}, J. Appl. Math. Comput. 68, No. 1, 403--429 (2022; Zbl 07534934) Full Text: DOI
Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, Dumitru The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. (English) Zbl 07533815 Appl. Numer. Math. 178, 25-40 (2022). MSC: 65Mxx 35Rxx 35Kxx PDFBibTeX XMLCite \textit{F. Kheirkhah} et al., Appl. Numer. Math. 178, 25--40 (2022; Zbl 07533815) Full Text: DOI
Du, Rui-lian; Sun, Zhi-zhong; Wang, Hong Temporal second-order finite difference schemes for variable-order time-fractional wave equations. (English) Zbl 1481.65128 SIAM J. Numer. Anal. 60, No. 1, 104-132 (2022). MSC: 65M06 65N06 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{R.-l. Du} et al., SIAM J. Numer. Anal. 60, No. 1, 104--132 (2022; Zbl 1481.65128) Full Text: DOI
Thieu N. Vo; Razzaghi, Mohsen; Phan Thanh Toan A numerical method for solving variable-order fractional diffusion equations using fractional-order Taylor wavelets. (English) Zbl 07776091 Numer. Methods Partial Differ. Equations 37, No. 3, 2668-2686 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Thieu N. Vo} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2668--2686 (2021; Zbl 07776091) Full Text: DOI
Dwivedi, Kushal Dhar; Rajeev; Das, S.; Gomez-Aguilar, José Francisco Finite difference/collocation method to solve multi term variable-order fractional reaction-advection-diffusion equation in heterogeneous medium. (English) Zbl 07776058 Numer. Methods Partial Differ. Equations 37, No. 3, 2031-2045 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. D. Dwivedi} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2031--2045 (2021; Zbl 07776058) Full Text: DOI
Soradi-Zeid, Samaneh; Mesrizadeh, Mehdi; Cattani, Carlo Radial basis solutions of second-order quasi-linear hyperbolic boundary value problem. (English) Zbl 07776051 Numer. Methods Partial Differ. Equations 37, No. 3, 1916-1927 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Soradi-Zeid} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 1916--1927 (2021; Zbl 07776051) Full Text: DOI
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Cattani, Carlo A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation. (English) Zbl 1484.42032 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2273-2295 (2021). MSC: 42C40 26A33 35J10 65T60 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2273--2295 (2021; Zbl 1484.42032) Full Text: DOI
Li, Changpin; Wang, Zhen Numerical methods for the time fractional convection-diffusion-reaction equation. (English) Zbl 07431314 Numer. Funct. Anal. Optim. 42, No. 10, 1115-1153 (2021). MSC: 65M60 35R11 35K57 PDFBibTeX XMLCite \textit{C. Li} and \textit{Z. Wang}, Numer. Funct. Anal. Optim. 42, No. 10, 1115--1153 (2021; Zbl 07431314) Full Text: DOI
Wei, Leilei; Li, Wenbo Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo-Fabrizio fractional derivative. (English) Zbl 07429001 Math. Comput. Simul. 188, 280-290 (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{L. Wei} and \textit{W. Li}, Math. Comput. Simul. 188, 280--290 (2021; Zbl 07429001) Full Text: DOI
Du, Hong; Chen, Zhong; Yang, Tiejun A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain. (English) Zbl 1468.65172 Appl. Math. Lett. 116, Article ID 107014, 7 p. (2021). MSC: 65M99 35K10 35R11 PDFBibTeX XMLCite \textit{H. Du} et al., Appl. Math. Lett. 116, Article ID 107014, 7 p. (2021; Zbl 1468.65172) Full Text: DOI
Li, Changpin; Wang, Zhen Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution. (English) Zbl 1524.65564 Math. Comput. Simul. 182, 838-857 (2021). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{C. Li} and \textit{Z. Wang}, Math. Comput. Simul. 182, 838--857 (2021; Zbl 1524.65564) Full Text: DOI
Nandal, Sarita; Pandey, Dwijendra Narain Numerical technique for fractional variable-order differential equation of fourth-order with delay. (English) Zbl 1460.65130 Appl. Numer. Math. 161, 391-407 (2021). MSC: 65M70 65M12 65N12 65D07 35R11 35R07 PDFBibTeX XMLCite \textit{S. Nandal} and \textit{D. N. Pandey}, Appl. Numer. Math. 161, 391--407 (2021; Zbl 1460.65130) Full Text: DOI
Bhardwaj, Akanksha; Kumar, Alpesh A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation. (English) Zbl 1459.65137 Appl. Numer. Math. 160, 146-165 (2021). MSC: 65M06 65N35 65M12 65D12 35R11 PDFBibTeX XMLCite \textit{A. Bhardwaj} and \textit{A. Kumar}, Appl. Numer. Math. 160, 146--165 (2021; Zbl 1459.65137) Full Text: DOI
Wei, Leilei; Yang, Yanfang Optimal order finite difference/local discontinuous Galerkin method for variable-order time-fractional diffusion equation. (English) Zbl 1452.65253 J. Comput. Appl. Math. 383, Article ID 113129, 10 p. (2021). MSC: 65M60 65M06 65N30 65M15 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{L. Wei} and \textit{Y. Yang}, J. Comput. Appl. Math. 383, Article ID 113129, 10 p. (2021; Zbl 1452.65253) Full Text: DOI
Azin, H.; Mohammadi, F.; Heydari, M. H. A hybrid method for solving time fractional advection-diffusion equation on unbounded space domain. (English) Zbl 1486.65186 Adv. Difference Equ. 2020, Paper No. 596, 9 p. (2020). MSC: 65M70 65M12 65M06 35R11 35K57 PDFBibTeX XMLCite \textit{H. Azin} et al., Adv. Difference Equ. 2020, Paper No. 596, 9 p. (2020; Zbl 1486.65186) Full Text: DOI
Uddin, Marjan; Ud Din, Islam A numerical method for solving variable-order solute transport models. (English) Zbl 1461.65249 Comput. Appl. Math. 39, No. 4, Paper No. 320, 10 p. (2020). MSC: 65M70 35R15 65D12 65M12 PDFBibTeX XMLCite \textit{M. Uddin} and \textit{I. Ud Din}, Comput. Appl. Math. 39, No. 4, Paper No. 320, 10 p. (2020; Zbl 1461.65249) Full Text: DOI
Gharian, D.; Ghaini, F. M. Maalek; Heydari, M. H.; Avazzadeh, Z. A meshless solution for the variable-order time fractional nonlinear Klein-Gordon equation. (English) Zbl 1461.65245 Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 130, 16 p. (2020). MSC: 65M70 65M12 34K37 65D12 65M06 PDFBibTeX XMLCite \textit{D. Gharian} et al., Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 130, 16 p. (2020; Zbl 1461.65245) Full Text: DOI
Wang, Xiaoping; Xu, Huanying; Qi, Haitao Analytical and numerical analysis of time fractional dual-phase-lag heat conduction during short-pulse laser heating. (English) Zbl 1456.65078 Numer. Algorithms 85, No. 4, 1385-1408 (2020). MSC: 65M06 35R11 78A60 65Z05 PDFBibTeX XMLCite \textit{X. Wang} et al., Numer. Algorithms 85, No. 4, 1385--1408 (2020; Zbl 1456.65078) Full Text: DOI
Kumar, Alpesh; Bhardwaj, Akanksha A local meshless method for time fractional nonlinear diffusion wave equation. (English) Zbl 1455.65192 Numer. Algorithms 85, No. 4, 1311-1334 (2020). MSC: 65M70 65M12 65D12 35R11 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{A. Bhardwaj}, Numer. Algorithms 85, No. 4, 1311--1334 (2020; Zbl 1455.65192) Full Text: DOI
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z. A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. (English) Zbl 1464.65143 Eng. Anal. Bound. Elem. 120, 166-179 (2020). MSC: 65M70 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Eng. Anal. Bound. Elem. 120, 166--179 (2020; Zbl 1464.65143) Full Text: DOI
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
Jiang, Tao; Wang, Xing-Chi; Huang, Jin-Jing; Ren, Jin-Lian An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry. (English) Zbl 1464.65145 Eng. Anal. Bound. Elem. 118, 265-276 (2020). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{T. Jiang} et al., Eng. Anal. Bound. Elem. 118, 265--276 (2020; Zbl 1464.65145) Full Text: DOI
Bhardwaj, Akanksha; Kumar, Alpesh Numerical solution of time fractional Tricomi-type equation by an RBF based meshless method. (English) Zbl 1464.65136 Eng. Anal. Bound. Elem. 118, 96-107 (2020). MSC: 65M70 65D12 65M12 PDFBibTeX XMLCite \textit{A. Bhardwaj} and \textit{A. Kumar}, Eng. Anal. Bound. Elem. 118, 96--107 (2020; Zbl 1464.65136) Full Text: DOI
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
Gu, Yan; Sun, HongGuang A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives. (English) Zbl 1481.65130 Appl. Math. Modelling 78, 539-549 (2020). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Y. Gu} and \textit{H. Sun}, Appl. Math. Modelling 78, 539--549 (2020; Zbl 1481.65130) Full Text: DOI
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin; Cattani, Carlo A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. (English) Zbl 1449.35437 Comput. Appl. Math. 39, No. 1, Paper No. 2, 21 p. (2020). MSC: 35R11 26A33 65M70 33C47 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Comput. Appl. Math. 39, No. 1, Paper No. 2, 21 p. (2020; Zbl 1449.35437) Full Text: DOI
Hafez, Ramy Mahmoud; Youssri, Youssri Hassan Legendre-collocation spectral solver for variable-order fractional functional differential equations. (English) Zbl 1463.65169 Comput. Methods Differ. Equ. 8, No. 1, 99-110 (2020). MSC: 65L03 34K37 65L60 65L70 PDFBibTeX XMLCite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Comput. Methods Differ. Equ. 8, No. 1, 99--110 (2020; Zbl 1463.65169) Full Text: DOI
Heydari, M. H.; Atangana, A. A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative. (English) Zbl 1483.65165 Chaos Solitons Fractals 128, 339-348 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{A. Atangana}, Chaos Solitons Fractals 128, 339--348 (2019; Zbl 1483.65165) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Roohi, R.; Avazzadeh, Z. A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. (English) Zbl 1452.65196 J. Comput. Phys. 395, 1-18 (2019). MSC: 65M12 92C50 35R11 65Z05 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., J. Comput. Phys. 395, 1--18 (2019; Zbl 1452.65196) Full Text: DOI
Liu, Jianming; Li, Xinkai; Hu, Xiuling A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation. (English) Zbl 1451.65131 J. Comput. Phys. 384, 222-238 (2019). MSC: 65M15 35R11 65D12 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Phys. 384, 222--238 (2019; Zbl 1451.65131) Full Text: DOI arXiv Link
Hosseininia, M.; Heydari, M. H. Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel. (English) Zbl 1448.65104 Chaos Solitons Fractals 127, 400-407 (2019). MSC: 65M06 35K57 35R11 PDFBibTeX XMLCite \textit{M. Hosseininia} and \textit{M. H. Heydari}, Chaos Solitons Fractals 127, 400--407 (2019; Zbl 1448.65104) Full Text: DOI
Hosseininia, M.; Heydari, M. H. Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel. (English) Zbl 1448.65103 Chaos Solitons Fractals 127, 389-399 (2019). MSC: 65M06 35R11 26A33 PDFBibTeX XMLCite \textit{M. Hosseininia} and \textit{M. H. Heydari}, Chaos Solitons Fractals 127, 389--399 (2019; Zbl 1448.65103) Full Text: DOI
Zeid, Samaneh Soradi Approximation methods for solving fractional equations. (English) Zbl 1448.65059 Chaos Solitons Fractals 125, 171-193 (2019). MSC: 65L03 65M06 65-02 35R11 34K37 45J05 PDFBibTeX XMLCite \textit{S. S. Zeid}, Chaos Solitons Fractals 125, 171--193 (2019; Zbl 1448.65059) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z. A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. (English) Zbl 1443.65449 Comput. Math. Appl. 78, No. 12, 3713-3730 (2019). MSC: 65T60 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Comput. Math. Appl. 78, No. 12, 3713--3730 (2019; Zbl 1443.65449) Full Text: DOI
Kumar, Alpesh; Bhardwaj, Akanksha; Kumar, B. V. Rathish A meshless local collocation method for time fractional diffusion wave equation. (English) Zbl 1442.65293 Comput. Math. Appl. 78, No. 6, 1851-1861 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. Kumar} et al., Comput. Math. Appl. 78, No. 6, 1851--1861 (2019; Zbl 1442.65293) Full Text: DOI
Abdolahzadeh, Mohsen; Tayebi, Ali; Omidvar, Pourya Mixing process of two-phase non-Newtonian fluids in 2D using smoothed particle hydrodynamics. (English) Zbl 1442.76006 Comput. Math. Appl. 78, No. 1, 110-122 (2019). MSC: 76A05 76M28 PDFBibTeX XMLCite \textit{M. Abdolahzadeh} et al., Comput. Math. Appl. 78, No. 1, 110--122 (2019; Zbl 1442.76006) Full Text: DOI
Shekari, Younes; Tayebi, Ali; Heydari, Mohammad Hossein A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation. (English) Zbl 1441.65079 Comput. Methods Appl. Mech. Eng. 350, 154-168 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{Y. Shekari} et al., Comput. Methods Appl. Mech. Eng. 350, 154--168 (2019; Zbl 1441.65079) Full Text: DOI
Qin, Xinqiang; Yang, Xin A finite point method for solving the time fractional Richards’ equation. (English) Zbl 1435.65177 Math. Probl. Eng. 2019, Article ID 8358176, 14 p. (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{X. Qin} and \textit{X. Yang}, Math. Probl. Eng. 2019, Article ID 8358176, 14 p. (2019; Zbl 1435.65177) Full Text: DOI
Hassani, H.; Machado, J. A. Tenreiro; Avazzadeh, Z. An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. (English) Zbl 1430.34005 Nonlinear Dyn. 97, No. 4, 2041-2054 (2019). MSC: 34A08 34B99 26A33 49K15 PDFBibTeX XMLCite \textit{H. Hassani} et al., Nonlinear Dyn. 97, No. 4, 2041--2054 (2019; Zbl 1430.34005) Full Text: DOI
Hassani, Hossein; Avazzadeh, Zakieh Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems. (English) Zbl 1433.49044 Appl. Math. Comput. 362, Article ID 124563, 10 p. (2019). MSC: 49M25 34A08 49K15 PDFBibTeX XMLCite \textit{H. Hassani} and \textit{Z. Avazzadeh}, Appl. Math. Comput. 362, Article ID 124563, 10 p. (2019; Zbl 1433.49044) Full Text: DOI
Haq, Sirajul; Ghafoor, Abdul; Hussain, Manzoor Numerical solutions of variable order time fractional \((1+1)\)- and \((1+2)\)-dimensional advection dispersion and diffusion models. (English) Zbl 1429.65238 Appl. Math. Comput. 360, 107-121 (2019). MSC: 65M70 35R11 65T60 65M06 PDFBibTeX XMLCite \textit{S. Haq} et al., Appl. Math. Comput. 360, 107--121 (2019; Zbl 1429.65238) Full Text: DOI
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin A computational method for solving variable-order fractional nonlinear diffusion-wave equation. (English) Zbl 1429.65240 Appl. Math. Comput. 352, 235-248 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Appl. Math. Comput. 352, 235--248 (2019; Zbl 1429.65240) Full Text: DOI
Heydari, M. H. A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems. (English) Zbl 1451.49044 J. Franklin Inst. 356, No. 15, 8216-8236 (2019). MSC: 49S05 74B05 49J52 PDFBibTeX XMLCite \textit{M. H. Heydari}, J. Franklin Inst. 356, No. 15, 8216--8236 (2019; Zbl 1451.49044) 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
Heydari, Mohammad Hossein Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations. (English) Zbl 1433.65352 Appl. Numer. Math. 144, 190-203 (2019). MSC: 65R20 45G10 65T60 PDFBibTeX XMLCite \textit{M. H. Heydari}, Appl. Numer. Math. 144, 190--203 (2019; Zbl 1433.65352) Full Text: DOI
Zaky, Mahmoud A.; Doha, Eid H.; Taha, Taha M.; Baleanu, Dumitru New recursive approximations for variable-order fractional operators with applications. (English) Zbl 1488.42118 Math. Model. Anal. 23, No. 2, 227-239 (2018). MSC: 42C05 65D99 35R11 65N35 PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Math. Model. Anal. 23, No. 2, 227--239 (2018; Zbl 1488.42118) Full Text: DOI arXiv
Mardani, A.; Hooshmandasl, M. R.; Heydari, M. H.; Cattani, C. A meshless method for solving the time fractional advection-diffusion equation with variable coefficients. (English) Zbl 1418.65144 Comput. Math. Appl. 75, No. 1, 122-133 (2018). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. Mardani} et al., Comput. Math. Appl. 75, No. 1, 122--133 (2018; Zbl 1418.65144) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M. Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. (English) Zbl 1461.65247 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7-8, 793-802 (2018). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7--8, 793--802 (2018; Zbl 1461.65247) Full Text: DOI
Zaky, Mahmoud A. A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. (English) Zbl 1404.65204 Comput. Appl. Math. 37, No. 3, 3525-3538 (2018). MSC: 65M70 34A08 33C45 11B83 65M12 35R11 PDFBibTeX XMLCite \textit{M. A. Zaky}, Comput. Appl. Math. 37, No. 3, 3525--3538 (2018; Zbl 1404.65204) Full Text: DOI
Salehi, Farideh; Saeedi, Habibollah; Mohseni Moghadam, Mahmood A Hahn computational operational method for variable order fractional mobile-immobile advection-dispersion equation. (English) Zbl 1417.65179 Math. Sci., Springer 12, No. 2, 91-101 (2018). MSC: 65M70 65M06 35R11 PDFBibTeX XMLCite \textit{F. Salehi} et al., Math. Sci., Springer 12, No. 2, 91--101 (2018; Zbl 1417.65179) Full Text: DOI
Heydari, Mohammad Hossein; Avazzadeh, Zakieh Legendre wavelets optimization method for variable-order fractional Poisson equation. (English) Zbl 1398.65316 Chaos Solitons Fractals 112, 180-190 (2018). MSC: 65N35 35R11 65K10 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{Z. Avazzadeh}, Chaos Solitons Fractals 112, 180--190 (2018; Zbl 1398.65316) Full Text: DOI
Ghehsareh, Hadi Roohani; Zaghian, Ali; Raei, M. A local weak form meshless method to simulate a variable order time-fractional mobile-immobile transport model. (English) Zbl 1403.65089 Eng. Anal. Bound. Elem. 90, 63-75 (2018). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{H. R. Ghehsareh} et al., Eng. Anal. Bound. Elem. 90, 63--75 (2018; Zbl 1403.65089) Full Text: DOI