Biranvand, Nader; Ebrahimijahan, Ali Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation. (English) Zbl 07803460 Comput. Appl. Math. 43, No. 1, Paper No. 52, 26 p. (2024). MSC: 34K37 65L80 PDFBibTeX XMLCite \textit{N. Biranvand} and \textit{A. Ebrahimijahan}, Comput. Appl. Math. 43, No. 1, Paper No. 52, 26 p. (2024; Zbl 07803460) Full Text: DOI
Zhou, Yan Ling; Zhou, Yong; Xi, Xuan-Xuan The well-posedness for the distributed-order wave equation on \(\mathbb{R}^N\). (English) Zbl 1528.34012 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 58, 22 p. (2024). MSC: 34A08 PDFBibTeX XMLCite \textit{Y. L. Zhou} et al., Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 58, 22 p. (2024; Zbl 1528.34012) Full Text: DOI
Hou, Yaxin; Wen, Cao; Liu, Yang; Li, Hong A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation. (English) Zbl 07818903 Netw. Heterog. Media 18, No. 2, 855-876 (2023). MSC: 65L05 26A33 PDFBibTeX XMLCite \textit{Y. Hou} et al., Netw. Heterog. Media 18, No. 2, 855--876 (2023; Zbl 07818903) Full Text: DOI
Mohammed Ghuraibawi, Amer Abdulhussein; Marasi, H. R.; Derakhshan, M. H.; Kumar, Pushpendra Numerical solution of multidimensional time-space fractional differential equations of distributed order with Riesz derivative. (English) Zbl 07793766 Math. Methods Appl. Sci. 46, No. 14, 15186-15207 (2023). MSC: 65L05 26A33 34A08 33C50 PDFBibTeX XMLCite \textit{A. A. Mohammed Ghuraibawi} et al., Math. Methods Appl. Sci. 46, No. 14, 15186--15207 (2023; Zbl 07793766) Full Text: DOI
Pskhu, Arsen Transmutation operators intertwining first-order and distributed-order derivatives. (English) Zbl 07785683 Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 93, 17 p. (2023). MSC: 35R11 26A33 34A08 34A25 PDFBibTeX XMLCite \textit{A. Pskhu}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 93, 17 p. (2023; Zbl 07785683) Full Text: DOI
Cao, Jiliang; Xiao, Aiguo; Bu, Weiping A fast Alikhanov algorithm with general nonuniform time steps for a two-dimensional distributed-order time-space fractional advection-dispersion equation. (English) Zbl 07777339 Numer. Methods Partial Differ. Equations 39, No. 4, 2885-2908 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Cao} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 2885--2908 (2023; Zbl 07777339) Full Text: DOI
Fardi, Mojtaba A kernel-based pseudo-spectral method for multi-term and distributed order time-fractional diffusion equations. (English) Zbl 07777021 Numer. Methods Partial Differ. Equations 39, No. 3, 2630-2651 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Fardi}, Numer. Methods Partial Differ. Equations 39, No. 3, 2630--2651 (2023; Zbl 07777021) Full Text: DOI
Sun, Lu-Yao; Lei, Siu-Long; Sun, Hai-Wei; Zhang, Jia-Li An \(\alpha\)-robust fast algorithm for distributed-order time-space fractional diffusion equation with weakly singular solution. (English) Zbl 07701036 Math. Comput. Simul. 207, 437-452 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{L.-Y. Sun} et al., Math. Comput. Simul. 207, 437--452 (2023; Zbl 07701036) Full Text: DOI
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
Hai, Dinh Nguyen Duy Identifying a space-dependent source term in distributed order time-fractional diffusion equations. (English) Zbl 07697854 Math. Control Relat. Fields 13, No. 3, 1008-1022 (2023). MSC: 65Nxx 26A33 35R30 47A52 65N15 PDFBibTeX XMLCite \textit{D. N. D. Hai}, Math. Control Relat. Fields 13, No. 3, 1008--1022 (2023; Zbl 07697854) Full Text: DOI
Taherkhani, Sh.; Khalilsaraye, I. Najafi; Ghayebi, B. Numerical solution of the diffusion problem of distributed order based on the sinc-collocation method. (English) Zbl 1512.65234 Math. Sci., Springer 17, No. 2, 133-144 (2023). MSC: 65M70 34K37 65L60 PDFBibTeX XMLCite \textit{Sh. Taherkhani} et al., Math. Sci., Springer 17, No. 2, 133--144 (2023; Zbl 1512.65234) Full Text: DOI
Habibirad, Ali; Hesameddini, Esmail; Azin, Hadis; Heydari, Mohammad Hossein The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional cable equation. (English) Zbl 1521.65092 Eng. Anal. Bound. Elem. 150, 342-352 (2023). MSC: 65M60 35R11 45K05 65M12 PDFBibTeX XMLCite \textit{A. Habibirad} et al., Eng. Anal. Bound. Elem. 150, 342--352 (2023; Zbl 1521.65092) Full Text: DOI
Kumar, Yashveer; Srivastava, Nikhil; Singh, Aman; Singh, Vineet Kumar Wavelets based computational algorithms for multidimensional distributed order fractional differential equations with nonlinear source term. (English) Zbl 07648417 Comput. Math. Appl. 132, 73-103 (2023). MSC: 65M70 26A33 34A08 65T60 65L60 65L05 PDFBibTeX XMLCite \textit{Y. Kumar} et al., Comput. Math. Appl. 132, 73--103 (2023; Zbl 07648417) Full Text: DOI
Broucke, Frederik; Oparnica, Ljubica Distributed-order time-fractional wave equations. (English) Zbl 1504.35613 Z. Angew. Math. Phys. 74, No. 1, Paper No. 19, 25 p. (2023). MSC: 35R11 35B65 35L05 74J05 74D05 28A25 PDFBibTeX XMLCite \textit{F. Broucke} and \textit{L. Oparnica}, Z. Angew. Math. Phys. 74, No. 1, Paper No. 19, 25 p. (2023; Zbl 1504.35613) Full Text: DOI arXiv
Heydari, M. H.; Razzaghi, M.; Baleanu, D. A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. (English) Zbl 07609370 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106873, 15 p. (2023). MSC: 65Mxx PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106873, 15 p. (2023; Zbl 07609370) Full Text: DOI
Derakhshan, Mohammad Hossein; Aminataei, Azim A numerical method for finding solution of the distributed-order time-fractional forced Korteweg-de Vries equation including the Caputo fractional derivative. (English) Zbl 1527.65071 Math. Methods Appl. Sci. 45, No. 5, 3144-3165 (2022). MSC: 65M06 65M70 35Q53 35R11 65M12 PDFBibTeX XMLCite \textit{M. H. Derakhshan} and \textit{A. Aminataei}, Math. Methods Appl. Sci. 45, No. 5, 3144--3165 (2022; Zbl 1527.65071) Full Text: DOI
Vieira, Nelson; Rodrigues, M. Manuela; Ferreira, Milton Time-fractional telegraph equation of distributed order in higher dimensions with Hilfer fractional derivatives. (English) Zbl 1512.35641 Electron. Res. Arch. 30, No. 10, 3595-3631 (2022). MSC: 35R11 35L15 PDFBibTeX XMLCite \textit{N. Vieira} et al., Electron. Res. Arch. 30, No. 10, 3595--3631 (2022; Zbl 1512.35641) Full Text: DOI
Fardi, M.; Alidousti, J. A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation. (English) Zbl 1510.65190 Math. Sci., Springer 16, No. 4, 417-430 (2022). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{M. Fardi} and \textit{J. Alidousti}, Math. Sci., Springer 16, No. 4, 417--430 (2022; Zbl 1510.65190) Full Text: DOI
Efendiev, B. I. Problem with Sturm type conditions for a second-order ordinary differential equation with a distributed differentiation operator. (English. English summary) Zbl 1525.34020 Differ. Equ. 58, No. 12, 1579-1589 (2022); translation from Differ. Uravn. 58, No. 12, 1596-1605 (2022). Reviewer: Dimplekumar Chalishajar (Lexington) MSC: 34A08 34B27 45J05 47G20 PDFBibTeX XMLCite \textit{B. I. Efendiev}, Differ. Equ. 58, No. 12, 1579--1589 (2022; Zbl 1525.34020); translation from Differ. Uravn. 58, No. 12, 1596--1605 (2022) Full Text: DOI
Jiang, Daijun; Li, Zhiyuan Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data. (English) Zbl 1498.35618 Calcolo 59, No. 4, Paper No. 34, 28 p. (2022). MSC: 35R30 35K20 35R11 26A33 PDFBibTeX XMLCite \textit{D. Jiang} and \textit{Z. Li}, Calcolo 59, No. 4, Paper No. 34, 28 p. (2022; Zbl 1498.35618) Full Text: DOI
Ansari, Alireza; Derakhshan, Mohammad Hossein; Askari, Hassan Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290 Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022). MSC: 35R11 26A33 35A08 35C15 44A10 44A20 PDFBibTeX XMLCite \textit{A. Ansari} et al., Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022; Zbl 1500.35290) Full Text: DOI
Sun, Lu-Yao; Fang, Zhi-Wei; Lei, Siu-Long; Sun, Hai-Wei; Zhang, Jia-Li A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations. (English) Zbl 1510.65210 Appl. Math. Comput. 425, Article ID 127095, 17 p. (2022). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{L.-Y. Sun} et al., Appl. Math. Comput. 425, Article ID 127095, 17 p. (2022; Zbl 1510.65210) Full Text: DOI
Hulianytskyi, Andrii Subdiffusion equations with a source term and their extensions. (English) Zbl 07505713 Rep. Math. Phys. 89, No. 1, 1-8 (2022). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{A. Hulianytskyi}, Rep. Math. Phys. 89, No. 1, 1--8 (2022; Zbl 07505713) Full Text: DOI
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng A fast numerical scheme for a variably distributed-order time-fractional diffusion equation and its analysis. (English) Zbl 1524.65552 Comput. Math. Appl. 108, 24-32 (2022). MSC: 65M60 65M06 35R11 65M12 26A33 65M15 65N30 PDFBibTeX XMLCite \textit{J. Jia} et al., Comput. Math. Appl. 108, 24--32 (2022; Zbl 1524.65552) Full Text: DOI
Jia, Jinhong; Wang, Hong Analysis of a hidden memory variably distributed-order space-fractional diffusion equation. (English) Zbl 1514.34019 Appl. Math. Lett. 124, Article ID 107617, 7 p. (2022). Reviewer: Ogbu F. Imaga (Ota) MSC: 34A08 34B15 45D05 PDFBibTeX XMLCite \textit{J. Jia} and \textit{H. Wang}, Appl. Math. Lett. 124, Article ID 107617, 7 p. (2022; Zbl 1514.34019) Full Text: DOI
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. (English) Zbl 1500.65087 J. Comput. Appl. Math. 399, Article ID 113712, 15 p. (2022). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65D32 35L05 86A05 26A33 35R11 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Comput. Appl. Math. 399, Article ID 113712, 15 p. (2022; Zbl 1500.65087) Full Text: DOI
Plekhanova, Marina Vasil’evna; Baĭbulatova, Guzel’ Damirovna; Bui Trong Kien Distributed control for semilinear equations with Gerasimov-Caputo derivatives. (Russian. English summary) Zbl 07821026 Mat. Zamet. SVFU 28, No. 2, 47-67 (2021). MSC: 49-XX 35-XX PDFBibTeX XMLCite \textit{M. V. Plekhanova} et al., Mat. Zamet. SVFU 28, No. 2, 47--67 (2021; Zbl 07821026) Full Text: DOI
Li, Jing; Yang, Yingying; Jiang, Yingjun; Feng, Libo; Guo, Boling High-order numerical method for solving a space distributed-order time-fractional diffusion equation. (English) Zbl 1513.35526 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 3, 801-826 (2021). MSC: 35R11 65N08 65N12 PDFBibTeX XMLCite \textit{J. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 3, 801--826 (2021; Zbl 1513.35526) Full Text: DOI
Ramezani, Mohammad Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline. (English) Zbl 07486479 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Ramezani}, Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021; Zbl 07486479) Full Text: DOI
Jia, Jinhong; Zheng, Xiangcheng; Wang, Hong Numerical discretization and fast approximation of a variably distributed-order fractional wave equation. (English) Zbl 07477243 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2211-2232 (2021). MSC: 65-XX 35R11 65N30 PDFBibTeX XMLCite \textit{J. Jia} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2211--2232 (2021; Zbl 07477243) Full Text: DOI
Jia, Jinhong; Zheng, Xiangcheng; Wang, Hong Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation. (English) Zbl 1498.65171 Fract. Calc. Appl. Anal. 24, No. 5, 1477-1506 (2021). MSC: 65M70 35R11 65R20 PDFBibTeX XMLCite \textit{J. Jia} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1477--1506 (2021; Zbl 1498.65171) Full Text: DOI
Oloniiju, Shina Daniel; Goqo, Sicelo Praisegod; Sibanda, Precious A pseudo-spectral method for time distributed order two-sided space fractional differential equations. (English) Zbl 1496.65183 Taiwanese J. Math. 25, No. 5, 959-979 (2021). MSC: 65M70 65M06 65N35 65D32 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{S. D. Oloniiju} et al., Taiwanese J. Math. 25, No. 5, 959--979 (2021; Zbl 1496.65183) Full Text: DOI
Mohammadi-Firouzjaei, Hadi; Adibi, Hojatollah; Dehghan, Mehdi Local discontinuous Galerkin method for distributed-order time-fractional diffusion-wave equation: application of Laplace transform. (English) Zbl 1473.65210 Math. Methods Appl. Sci. 44, No. 6, 4923-4937 (2021). MSC: 65M60 65R10 35R11 PDFBibTeX XMLCite \textit{H. Mohammadi-Firouzjaei} et al., Math. Methods Appl. Sci. 44, No. 6, 4923--4937 (2021; Zbl 1473.65210) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Xi-Le; Zhao, Yong-Liang Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations. (English) Zbl 1524.65356 Comput. Math. Appl. 94, 136-154 (2021). MSC: 65M06 35R11 65M12 65F10 65F35 26A33 65N06 15B05 65F08 15A18 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Comput. Math. Appl. 94, 136--154 (2021; Zbl 1524.65356) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. (English) Zbl 1474.65340 Appl. Math. Comput. 392, Article ID 125718, 21 p. (2021). MSC: 65M60 34A34 26A33 35R11 65M12 65M75 65M15 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Math. Comput. 392, Article ID 125718, 21 p. (2021; Zbl 1474.65340) Full Text: DOI
Yuttanan, Boonrod; Razzaghi, Mohsen; Vo, Thieu N. A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations. (English) Zbl 1461.65250 Appl. Numer. Math. 160, 349-367 (2021). MSC: 65M70 65M15 65T60 35R11 65D32 PDFBibTeX XMLCite \textit{B. Yuttanan} et al., Appl. Numer. Math. 160, 349--367 (2021; Zbl 1461.65250) Full Text: DOI
Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients. (English) Zbl 1460.65110 J. Comput. Appl. Math. 388, Article ID 113337, 16 p. (2021). MSC: 65M08 65M12 35R11 65D32 65M06 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Comput. Appl. Math. 388, Article ID 113337, 16 p. (2021; Zbl 1460.65110) Full Text: DOI
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Li, Can; Li, Mingjun; Wang, Ying A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: numerical simulations of Gordon-type solitons. (English) Zbl 07685722 Comput. Phys. Commun. 252, Article ID 107144, 14 p. (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Guo} et al., Comput. Phys. Commun. 252, Article ID 107144, 14 p. (2020; Zbl 07685722) Full Text: DOI
Fei, Mingfa; Huang, Chengming Galerkin-Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation. (English) Zbl 1483.65164 Int. J. Comput. Math. 97, No. 6, 1183-1196 (2020). MSC: 65M70 35R11 65M12 PDFBibTeX XMLCite \textit{M. Fei} and \textit{C. Huang}, Int. J. Comput. Math. 97, No. 6, 1183--1196 (2020; Zbl 1483.65164) Full Text: DOI
Fedorov, V. E.; Phuong, T. D.; Kien, B. T.; Boĭko, K. V.; Izhberdeeva, E. M. A class of distributed order semilinear equations in Banach spaces. (Russian. English summary) Zbl 1470.34158 Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 3, 342-351 (2020). MSC: 34G20 34A08 47E05 PDFBibTeX XMLCite \textit{V. E. Fedorov} et al., Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 3, 342--351 (2020; Zbl 1470.34158) Full Text: DOI MNR
Moshtaghi, Nasrin; Saadatmandi, Abbas Numerical solution for diffusion equations with distributed-order in time based on sinc-Legendre collocation method. (English) Zbl 1480.65288 Appl. Comput. Math. 19, No. 3, 317-355 (2020). MSC: 65M70 35K57 35R11 PDFBibTeX XMLCite \textit{N. Moshtaghi} and \textit{A. Saadatmandi}, Appl. Comput. Math. 19, No. 3, 317--355 (2020; Zbl 1480.65288) Full Text: Link
Zorica, Dušan Hereditariness and non-locality in wave propagation modelling. (English) Zbl 1474.35600 Theor. Appl. Mech. (Belgrade) 47, No. 1, 19-31 (2020). MSC: 35Q79 35R11 80A19 26A33 PDFBibTeX XMLCite \textit{D. Zorica}, Theor. Appl. Mech. (Belgrade) 47, No. 1, 19--31 (2020; Zbl 1474.35600) Full Text: DOI
Qiu, Wenlin; Xu, Da; Chen, Haifan; Guo, Jing An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions. (English) Zbl 1524.65584 Comput. Math. Appl. 80, No. 12, 3156-3172 (2020). MSC: 65M60 65M12 35R11 65M06 26A33 65M15 65N30 PDFBibTeX XMLCite \textit{W. Qiu} et al., Comput. Math. Appl. 80, No. 12, 3156--3172 (2020; Zbl 1524.65584) Full Text: DOI
Kumar, Yashveer; Singh, Somveer; Srivastava, Nikhil; Singh, Aman; Singh, Vineet Kumar Wavelet approximation scheme for distributed order fractional differential equations. (English) Zbl 1452.65140 Comput. Math. Appl. 80, No. 8, 1985-2017 (2020). MSC: 65L60 34A08 65L20 65T60 PDFBibTeX XMLCite \textit{Y. Kumar} et al., Comput. Math. Appl. 80, No. 8, 1985--2017 (2020; Zbl 1452.65140) Full Text: DOI
Zheng, Rumeng; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian W. Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation. (English) Zbl 1452.65285 Comput. Math. Appl. 80, No. 6, 1523-1537 (2020). MSC: 65M70 35R11 65M12 65M06 65N35 42C10 PDFBibTeX XMLCite \textit{R. Zheng} et al., Comput. Math. Appl. 80, No. 6, 1523--1537 (2020; Zbl 1452.65285) Full Text: DOI
Fedorov, Vladimir E.; Abdrakhmanova, Aliya A. A class of initial value problems for distributed order equations with a bounded operator. (English) Zbl 1455.34061 Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 251-261 (2020). MSC: 34G10 34A08 34A12 PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{A. A. Abdrakhmanova}, in: Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16--20, 2019. Cham: Springer. 251--261 (2020; Zbl 1455.34061) Full Text: DOI
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. (English) Zbl 1447.65072 Comput. Math. Appl. 80, No. 5, 923-939 (2020). MSC: 65M60 65M06 65M12 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Gao} et al., Comput. Math. Appl. 80, No. 5, 923--939 (2020; Zbl 1447.65072) Full Text: DOI
Zhao, Jingjun; Zhang, Yanming; Xu, Yang Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation. (English) Zbl 1446.65136 Appl. Numer. Math. 157, 223-235 (2020). MSC: 65M70 65N35 65L06 65D32 35R11 26A33 65M12 PDFBibTeX XMLCite \textit{J. Zhao} et al., Appl. Numer. Math. 157, 223--235 (2020; Zbl 1446.65136) Full Text: DOI
Fedorov, Vladimir E.; Abdrakhmanova, Aliya A. Distributed order equations in Banach spaces with sectorial operators. (English) Zbl 1494.34132 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 509-538 (2020). MSC: 34G10 34A08 47B12 PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{A. A. Abdrakhmanova}, in: Transmutation operators and applications. Cham: Birkhäuser. 509--538 (2020; Zbl 1494.34132) Full Text: DOI
Abdelkawy, M. A.; Babatin, Mohammed M.; Lopes, António M. Highly accurate technique for solving distributed-order time-fractional-sub-diffusion equations of fourth order. (English) Zbl 1449.65270 Comput. Appl. Math. 39, No. 2, Paper No. 65, 22 p. (2020). MSC: 65M70 41A55 35R11 26A33 65D32 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., Comput. Appl. Math. 39, No. 2, Paper No. 65, 22 p. (2020; Zbl 1449.65270) Full Text: DOI
Zhao, Jingjun; Zhang, Yanming; Xu, Yang Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation. (English) Zbl 1449.65283 Comput. Appl. Math. 39, No. 2, Paper No. 47, 27 p. (2020). MSC: 65M70 65M12 65M15 65L06 35R11 26A33 PDFBibTeX XMLCite \textit{J. Zhao} et al., Comput. Appl. Math. 39, No. 2, Paper No. 47, 27 p. (2020; Zbl 1449.65283) Full Text: DOI
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei Inverse source problem for a distributed-order time fractional diffusion equation. (English) Zbl 1509.35340 J. Inverse Ill-Posed Probl. 28, No. 1, 17-32 (2020). MSC: 35R11 35R30 45Q05 49N45 PDFBibTeX XMLCite \textit{X. Cheng} et al., J. Inverse Ill-Posed Probl. 28, No. 1, 17--32 (2020; Zbl 1509.35340) Full Text: DOI
Bu, Weiping; Ji, Lun; Tang, Yifa; Zhou, Jie Space-time finite element method for the distributed-order time fractional reaction diffusion equations. (English) Zbl 1434.65177 Appl. Numer. Math. 152, 446-465 (2020). Reviewer: Hu Chen (Beijing) MSC: 65M60 65M12 35R11 65D32 PDFBibTeX XMLCite \textit{W. Bu} et al., Appl. Numer. Math. 152, 446--465 (2020; Zbl 1434.65177) Full Text: DOI
Li, Lang; Liu, Fawang; Feng, Libo; Turner, Ian A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. (English) Zbl 1440.65142 J. Comput. Appl. Math. 368, Article ID 112589, 18 p. (2020). MSC: 65M60 65N30 65M06 65D30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{L. Li} et al., J. Comput. Appl. Math. 368, Article ID 112589, 18 p. (2020; Zbl 1440.65142) Full Text: DOI
Awad, Emad On the time-fractional Cattaneo equation of distributed order. (English) Zbl 1514.35454 Physica A 518, 210-233 (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{E. Awad}, Physica A 518, 210--233 (2019; Zbl 1514.35454) Full Text: DOI
Li, Xiaoli; Rui, Hongxing A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition. (English) Zbl 1499.65411 Int. J. Comput. Math. 96, No. 3, 622-639 (2019). MSC: 65M06 65N06 65M12 65M15 26A33 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Int. J. Comput. Math. 96, No. 3, 622--639 (2019; Zbl 1499.65411) Full Text: DOI
Fedorov, V. E.; Gordievskikh, D. M. The Cauchy problem for a semilinear equation of the distributed order. (Russian. English summary) Zbl 1473.35626 Chelyabinskiĭ Fiz.-Mat. Zh. 4, No. 4, 439-444 (2019). MSC: 35R11 35R09 PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{D. M. Gordievskikh}, Chelyabinskiĭ Fiz.-Mat. Zh. 4, No. 4, 439--444 (2019; Zbl 1473.35626) Full Text: DOI MNR
Fu, Hongfei; Liu, Huan; Zheng, Xiangcheng A preconditioned fast finite volume method for distributed-order diffusion equation and applications. (English) Zbl 1469.65140 East Asian J. Appl. Math. 9, No. 1, 28-44 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65F08 65F10 15B05 65K10 65T50 35R11 PDFBibTeX XMLCite \textit{H. Fu} et al., East Asian J. Appl. Math. 9, No. 1, 28--44 (2019; Zbl 1469.65140) Full Text: DOI
Jian, Huanyan; Huang, Tingzhu; Zhao, Xile; Zhao, Yongliang Fast second-order accurate difference schemes for time distributed-order and Riesz space fractional diffusion equations. (English) Zbl 1468.65175 J. Appl. Anal. Comput. 9, No. 4, 1359-1392 (2019). MSC: 65N06 65N12 65F08 65F10 15B05 35R11 PDFBibTeX XMLCite \textit{H. Jian} et al., J. Appl. Anal. Comput. 9, No. 4, 1359--1392 (2019; Zbl 1468.65175) Full Text: DOI arXiv
Safari, Farzaneh; Chen, Wen Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations. (English) Zbl 1442.65238 Comput. Math. Appl. 78, No. 5, 1594-1607 (2019). MSC: 65M38 35R11 PDFBibTeX XMLCite \textit{F. Safari} and \textit{W. Chen}, Comput. Math. Appl. 78, No. 5, 1594--1607 (2019; Zbl 1442.65238) Full Text: DOI
Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I. An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain. (English) Zbl 1481.65190 Appl. Math. Modelling 73, 615-636 (2019). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{Y. H. Shi} et al., Appl. Math. Modelling 73, 615--636 (2019; Zbl 1481.65190) Full Text: DOI
Gadzova, L. Kh. Nonlocal boundary-value problem for a linear ordinary differential equation with fractional discretely distributed differentiation operator. (English. Russian original) Zbl 1446.45006 Math. Notes 106, No. 6, 904-908 (2019); translation from Mat. Zametki 106, No. 6, 860-865 (2019). MSC: 45J05 34A08 PDFBibTeX XMLCite \textit{L. Kh. Gadzova}, Math. Notes 106, No. 6, 904--908 (2019; Zbl 1446.45006); translation from Mat. Zametki 106, No. 6, 860--865 (2019) Full Text: DOI
Javidi, Mohammad; Heris, Mahdi Saedshoar Analysis and numerical methods for the Riesz space distributed-order advection-diffusion equation with time delay. (English) Zbl 1446.35249 S\(\vec{\text{e}}\)MA J. 76, No. 4, 533-551 (2019). MSC: 35R11 35R09 65L06 65L20 65N06 PDFBibTeX XMLCite \textit{M. Javidi} and \textit{M. S. Heris}, S\(\vec{\text{e}}\)MA J. 76, No. 4, 533--551 (2019; Zbl 1446.35249) Full Text: DOI
Salehi, Rezvan Two implicit meshless finite point schemes for the two-dimensional distributed-order fractional equation. (English) Zbl 1434.65209 Comput. Methods Appl. Math. 19, No. 4, 813-831 (2019). MSC: 65M70 65M12 65M15 35R11 60G22 PDFBibTeX XMLCite \textit{R. Salehi}, Comput. Methods Appl. Math. 19, No. 4, 813--831 (2019; Zbl 1434.65209) Full Text: DOI
Li, Zhiyuan; Kian, Yavar; Soccorsi, Éric Initial-boundary value problem for distributed order time-fractional diffusion equations. (English) Zbl 1428.35667 Asymptotic Anal. 115, No. 1-2, 95-126 (2019). MSC: 35R11 35D30 44A10 35A01 35A02 35B65 35B35 PDFBibTeX XMLCite \textit{Z. Li} et al., Asymptotic Anal. 115, No. 1--2, 95--126 (2019; Zbl 1428.35667) Full Text: DOI arXiv
Pourbabaee, Marzieh; Saadatmandi, Abbas A novel Legendre operational matrix for distributed order fractional differential equations. (English) Zbl 1428.34021 Appl. Math. Comput. 361, 215-231 (2019). MSC: 34A08 34A25 PDFBibTeX XMLCite \textit{M. Pourbabaee} and \textit{A. Saadatmandi}, Appl. Math. Comput. 361, 215--231 (2019; Zbl 1428.34021) Full Text: DOI
Li, Xiaoli; Rui, Hongxing; Liu, Zhengguang Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation. (English) Zbl 1420.65105 Numer. Algorithms 82, No. 1, 321-347 (2019). MSC: 65M70 65M12 35R11 PDFBibTeX XMLCite \textit{X. Li} et al., Numer. Algorithms 82, No. 1, 321--347 (2019; Zbl 1420.65105) Full Text: DOI
Abdelkawy, M. A.; Lopes, António M.; Zaky, M. A. Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations. (English) Zbl 1438.65244 Comput. Appl. Math. 38, No. 2, Paper No. 81, 21 p. (2019). MSC: 65M70 74S25 26A33 35R11 33C45 65M12 65M15 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., Comput. Appl. Math. 38, No. 2, Paper No. 81, 21 p. (2019; Zbl 1438.65244) Full Text: DOI
Heris, Mahdi Saedshoar; Javidi, Mohammad Fractional backward differential formulas for the distributed-order differential equation with time delay. (English) Zbl 1477.65135 Bull. Iran. Math. Soc. 45, No. 4, 1159-1176 (2019). MSC: 65M06 35R11 65L06 65L20 PDFBibTeX XMLCite \textit{M. S. Heris} and \textit{M. Javidi}, Bull. Iran. Math. Soc. 45, No. 4, 1159--1176 (2019; Zbl 1477.65135) Full Text: DOI
Xu, Yang; Zhang, Yanming; Zhao, Jingjun Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation. (English) Zbl 1450.65134 Appl. Numer. Math. 142, 122-138 (2019). MSC: 65M70 65M12 65M15 65D32 35A01 35A02 35A09 35R11 26A33 PDFBibTeX XMLCite \textit{Y. Xu} et al., Appl. Numer. Math. 142, 122--138 (2019; Zbl 1450.65134) Full Text: DOI
Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan Distributed-order fractional constitutive stress-strain relation in wave propagation modeling. (English) Zbl 1415.35279 Z. Angew. Math. Phys. 70, No. 2, Paper No. 51, 21 p. (2019). MSC: 35R11 35Q74 74D05 74J05 PDFBibTeX XMLCite \textit{S. Konjik} et al., Z. Angew. Math. Phys. 70, No. 2, Paper No. 51, 21 p. (2019; Zbl 1415.35279) Full Text: DOI arXiv
Wei, Leilei A fully discrete LDG method for the distributed-order time-fractional reaction-diffusion equation. (English) Zbl 1420.65090 Bull. Malays. Math. Sci. Soc. (2) 42, No. 3, 979-994 (2019). Reviewer: Yajuan Sun (Beijing) MSC: 65M06 65M60 65M12 35S10 35R11 PDFBibTeX XMLCite \textit{L. Wei}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 3, 979--994 (2019; Zbl 1420.65090) Full Text: DOI
Abbaszadeh, Mostafa Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. (English) Zbl 1410.65351 Appl. Math. Lett. 88, 179-185 (2019). MSC: 65M15 65M06 65M12 35R11 35K57 PDFBibTeX XMLCite \textit{M. Abbaszadeh}, Appl. Math. Lett. 88, 179--185 (2019; Zbl 1410.65351) Full Text: DOI
Želi, Velibor; Zorica, Dušan Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law. (English) Zbl 1514.80002 Physica A 492, 2316-2335 (2018). MSC: 80A05 35Q79 35R11 80M20 PDFBibTeX XMLCite \textit{V. Želi} and \textit{D. Zorica}, Physica A 492, 2316--2335 (2018; Zbl 1514.80002) Full Text: DOI arXiv
Tomovski, Živorad; Sandev, Trifce Distributed-order wave equations with composite time fractional derivative. (English) Zbl 1513.35534 Int. J. Comput. Math. 95, No. 6-7, 1100-1113 (2018). MSC: 35R11 26A33 33E12 40E05 PDFBibTeX XMLCite \textit{Ž. Tomovski} and \textit{T. Sandev}, Int. J. Comput. Math. 95, No. 6--7, 1100--1113 (2018; Zbl 1513.35534) Full Text: DOI
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Zeng, Fanhai; Turner, Ian A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. (English) Zbl 1442.65301 Comput. Math. Appl. 76, No. 10, 2460-2476 (2018). MSC: 65M70 65M12 35R09 35R11 PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Math. Appl. 76, No. 10, 2460--2476 (2018; Zbl 1442.65301) Full Text: DOI
Almeida, Ricardo; Morgado, M. Luísa The Euler-Lagrange and Legendre equations for functionals involving distributed-order fractional derivatives. (English) Zbl 1427.49018 Appl. Math. Comput. 331, 394-403 (2018). MSC: 49K05 35R11 49M05 PDFBibTeX XMLCite \textit{R. Almeida} and \textit{M. L. Morgado}, Appl. Math. Comput. 331, 394--403 (2018; Zbl 1427.49018) Full Text: DOI
Streletskaya, E. M.; Fedorov, V. E.; Debbouche, Amar The Cauchy problem for distributed order equations in Banach spaces. (Russian) Zbl 1438.34053 Mat. Zamet. SVFU 25, No. 1, 63-72 (2018). MSC: 34A08 34G10 34A12 PDFBibTeX XMLCite \textit{E. M. Streletskaya} et al., Mat. Zamet. SVFU 25, No. 1, 63--72 (2018; Zbl 1438.34053) Full Text: DOI
Feng, Qinghua A compact finite difference scheme for space-time fractional diffusion equations with time distributed-order derivative. (English) Zbl 1424.65126 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 80, No. 4, 79-90 (2018). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Q. Feng}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 80, No. 4, 79--90 (2018; Zbl 1424.65126)
Jia, Jinhong; Wang, Hong A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains. (English) Zbl 1409.65054 Comput. Math. Appl. 75, No. 6, 2031-2043 (2018). MSC: 65M06 35R11 35R35 PDFBibTeX XMLCite \textit{J. Jia} and \textit{H. Wang}, Comput. Math. Appl. 75, No. 6, 2031--2043 (2018; Zbl 1409.65054) Full Text: DOI
Hu, Jiahui; Wang, Jungang; Nie, Yufeng Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term. (English) Zbl 1448.65130 Adv. Difference Equ. 2018, Paper No. 352, 30 p. (2018). MSC: 65M12 65M06 65M70 35R11 26A33 PDFBibTeX XMLCite \textit{J. Hu} et al., Adv. Difference Equ. 2018, Paper No. 352, 30 p. (2018; Zbl 1448.65130) Full Text: DOI
Abdelkawy, M. A. A collocation method based on Jacobi and fractional order Jacobi basis functions for multi-dimensional distributed-order diffusion equations. (English) Zbl 1461.65243 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7-8, 781-792 (2018). MSC: 65M70 35K58 35R11 PDFBibTeX XMLCite \textit{M. A. Abdelkawy}, Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7--8, 781--792 (2018; Zbl 1461.65243) Full Text: DOI
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Jiang, Yutao Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation. (English) Zbl 1404.65089 Appl. Math. Lett. 85, 157-163 (2018). MSC: 65M06 65M60 65N35 35K57 35R11 65N12 65M12 PDFBibTeX XMLCite \textit{S. Guo} et al., Appl. Math. Lett. 85, 157--163 (2018; Zbl 1404.65089) Full Text: DOI
Fedorov, Vladimir E.; Streletskaya, Elizaveta M. Initial-value problems for linear distributed-order differential equations in Banach spaces. (English) Zbl 1402.34007 Electron. J. Differ. Equ. 2018, Paper No. 176, 17 p. (2018). MSC: 34A08 34G10 47D99 34A12 PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{E. M. Streletskaya}, Electron. J. Differ. Equ. 2018, Paper No. 176, 17 p. (2018; Zbl 1402.34007) Full Text: Link
Wang, Zheng; Hu, Changliu Numerical solution of distributed order differential equation using Laplace transform. (Chinese. English summary) Zbl 1413.65474 Nat. Sci. J. Xiangtan Univ. 40, No. 1, 15-18 (2018). MSC: 65R10 44A10 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{C. Hu}, Nat. Sci. J. Xiangtan Univ. 40, No. 1, 15--18 (2018; Zbl 1413.65474) Full Text: DOI
Liu, Quanzhen; Mu, Shanjun; Liu, Qingxia; Liu, Baoquan; Bi, Xiaolei; Zhuang, Pinghui; Li, Bochen; Gao, Jian An RBF based meshless method for the distributed order time fractional advection-diffusion equation. (English) Zbl 1403.65096 Eng. Anal. Bound. Elem. 96, 55-63 (2018). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{Q. Liu} et al., Eng. Anal. Bound. Elem. 96, 55--63 (2018; Zbl 1403.65096) Full Text: DOI
Yang, Xuehua; Zhang, Haixiang; Xu, Da WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation. (English) Zbl 1397.65210 J. Sci. Comput. 76, No. 3, 1502-1520 (2018). MSC: 65M70 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{X. Yang} et al., J. Sci. Comput. 76, No. 3, 1502--1520 (2018; Zbl 1397.65210) Full Text: DOI
Li, Xuhao; Wong, Patricia J. Y. An efficient nonpolynomial spline method for distributed order fractional subdiffusion equations. (English) Zbl 1402.65097 Math. Methods Appl. Sci. 41, No. 13, 4906-4922 (2018). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65M12 35R11 65D07 65M06 PDFBibTeX XMLCite \textit{X. Li} and \textit{P. J. Y. Wong}, Math. Methods Appl. Sci. 41, No. 13, 4906--4922 (2018; Zbl 1402.65097) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation. (English) Zbl 1395.65098 Math. Methods Appl. Sci. 41, No. 9, 3476-3494 (2018). MSC: 65M70 65M06 65M12 65M60 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Math. Methods Appl. Sci. 41, No. 9, 3476--3494 (2018; Zbl 1395.65098) Full Text: DOI
Li, Xiaoli; Rui, Hongxing A block-centered finite difference method for the distributed-order time-fractional diffusion-wave equation. (English) Zbl 1395.65023 Appl. Numer. Math. 131, 123-139 (2018). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Appl. Numer. Math. 131, 123--139 (2018; Zbl 1395.65023) Full Text: DOI
Fan, Wenping; Liu, Fawang A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain. (English) Zbl 1380.65260 Appl. Math. Lett. 77, 114-121 (2018). MSC: 65M60 35K05 35R11 65M50 PDFBibTeX XMLCite \textit{W. Fan} and \textit{F. Liu}, Appl. Math. Lett. 77, 114--121 (2018; Zbl 1380.65260) Full Text: DOI Link
Mashoof, M.; Refahi Sheikhani, A. H. Simulating the solution of the distributed order fractional equations by Block-pulse wavelets. (English) Zbl 1513.35528 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 79, No. 2, 193-206 (2017). MSC: 35R11 35R09 26A33 PDFBibTeX XMLCite \textit{M. Mashoof} and \textit{A. H. Refahi Sheikhani}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 79, No. 2, 193--206 (2017; Zbl 1513.35528)
Zaky, M. A.; Tenreiro Machado, J. A. On the formulation and numerical simulation of distributed-order fractional optimal control problems. (English) Zbl 1510.49018 Commun. Nonlinear Sci. Numer. Simul. 52, 177-189 (2017). MSC: 49K21 49M20 PDFBibTeX XMLCite \textit{M. A. Zaky} and \textit{J. A. Tenreiro Machado}, Commun. Nonlinear Sci. Numer. Simul. 52, 177--189 (2017; Zbl 1510.49018) Full Text: DOI
Li, J.; Liu, F.; Feng, L.; Turner, I. A novel finite volume method for the Riesz space distributed-order advection-diffusion equation. (English) Zbl 1443.65162 Appl. Math. Modelling 46, 536-553 (2017). MSC: 65M08 35R11 65M12 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Modelling 46, 536--553 (2017; Zbl 1443.65162) Full Text: DOI
Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. (English) Zbl 1409.35221 Comput. Math. Appl. 73, No. 6, 1041-1052 (2017). MSC: 35R11 35B65 35R30 PDFBibTeX XMLCite \textit{Z. Li} et al., Comput. Math. Appl. 73, No. 6, 1041--1052 (2017; Zbl 1409.35221) Full Text: DOI
Bhrawy, A. H.; Zaky, M. A. Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations. (English) Zbl 1448.65180 Nonlinear Dyn. 89, No. 2, 1415-1432 (2017). MSC: 65M70 35R11 26A33 35Q55 65M15 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Nonlinear Dyn. 89, No. 2, 1415--1432 (2017; Zbl 1448.65180) Full Text: DOI
Li, J.; Liu, F.; Feng, L.; Turner, I. A novel finite volume method for the Riesz space distributed-order diffusion equation. (English) Zbl 1384.65059 Comput. Math. Appl. 74, No. 4, 772-783 (2017). MSC: 65M08 35K05 65M12 35R11 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Math. Appl. 74, No. 4, 772--783 (2017; Zbl 1384.65059) Full Text: DOI
Gao, Guang-hua; Alikhanov, Anatoly A.; Sun, Zhi-zhong The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations. (English) Zbl 1381.65064 J. Sci. Comput. 73, No. 1, 93-121 (2017). MSC: 65M06 35K20 35R11 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., J. Sci. Comput. 73, No. 1, 93--121 (2017; Zbl 1381.65064) Full Text: DOI
Bu, Weiping; Xiao, Aiguo; Zeng, Wei Finite difference/finite element methods for distributed-order time fractional diffusion equations. (English) Zbl 1375.65110 J. Sci. Comput. 72, No. 1, 422-441 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M06 65M60 35K05 35R11 65M20 65M12 PDFBibTeX XMLCite \textit{W. Bu} et al., J. Sci. Comput. 72, No. 1, 422--441 (2017; Zbl 1375.65110) Full Text: DOI
Magdziarz, M.; Teuerle, M. Fractional diffusion equation with distributed-order material derivative. Stochastic foundations. (English) Zbl 1372.60097 J. Phys. A, Math. Theor. 50, No. 18, Article ID 184005, 13 p. (2017). MSC: 60H30 60J60 35K57 35R11 60G51 60G50 60F05 60G22 PDFBibTeX XMLCite \textit{M. Magdziarz} and \textit{M. Teuerle}, J. Phys. A, Math. Theor. 50, No. 18, Article ID 184005, 13 p. (2017; Zbl 1372.60097) Full Text: DOI arXiv