Yang, Guang; Wu, Guo-Cheng; Fu, Hui Discrete fractional calculus with exponential memory: propositions, numerical schemes and asymptotic stability. (English) Zbl 07824367 Nonlinear Anal., Model. Control 29, No. 1, 32-52 (2024). MSC: 39A13 39A30 39A70 26A33 PDFBibTeX XMLCite \textit{G. Yang} et al., Nonlinear Anal., Model. Control 29, No. 1, 32--52 (2024; Zbl 07824367) Full Text: DOI
Zhang, Jichao; Bu, Shangquan Maximal regularity for fractional difference equations of order \(2<\alpha<3\) on UMD spaces. (English) Zbl 07823673 Electron. J. Differ. Equ. 2024, Paper No. 20, 17 p. (2024). MSC: 47A10 35R11 35R20 43A22 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{S. Bu}, Electron. J. Differ. Equ. 2024, Paper No. 20, 17 p. (2024; Zbl 07823673) Full Text: Link
Gopal, N. S.; Jonnalagadda, J. M. Application of Avery-type fixed point theorems for nabla fractional boundary value problems. (English) Zbl 07822738 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 1, 1-19 (2024). MSC: 39A27 39A12 47H10 PDFBibTeX XMLCite \textit{N. S. Gopal} and \textit{J. M. Jonnalagadda}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 1, 1--19 (2024; Zbl 07822738) Full Text: Link Link
Singh, Anshima; Kumar, Sunil; Vigo-Aguiar, Jesus On new approximations of Caputo-Prabhakar fractional derivative and their application to reaction-diffusion problems with variable coefficients. (English) Zbl 07822429 Math. Methods Appl. Sci. 47, No. 1, 268-296 (2024). MSC: 65M06 65M12 65M70 35R11 PDFBibTeX XMLCite \textit{A. Singh} et al., Math. Methods Appl. Sci. 47, No. 1, 268--296 (2024; Zbl 07822429) Full Text: DOI
Aniley, Worku Tilahun; Duressa, Gemechis File Nonstandard finite difference method for time-fractional singularly perturbed convection-diffusion problems with a delay in time. (English) Zbl 07820993 Results Appl. Math. 21, Article ID 100432, 13 p. (2024). MSC: 65M06 65N06 65M12 65M15 35B25 26A33 35R11 35R07 PDFBibTeX XMLCite \textit{W. T. Aniley} and \textit{G. F. Duressa}, Results Appl. Math. 21, Article ID 100432, 13 p. (2024; Zbl 07820993) Full Text: DOI
Wu, Yixuan; Zhang, Yanzhi Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods. (English) Zbl 07818683 J. Sci. Comput. 99, No. 1, Paper No. 18, 26 p. (2024). MSC: 65M70 65M06 65N35 65D12 65R20 41A05 35R11 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{Y. Zhang}, J. Sci. Comput. 99, No. 1, Paper No. 18, 26 p. (2024; Zbl 07818683) Full Text: DOI arXiv
Huang, Weizhang; Shen, Jinye A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains. (English) Zbl 07816751 SIAM J. Sci. Comput. 46, No. 2, A744-A769 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N06 65N50 65F08 65F50 65T50 65M12 65M15 15B05 26A33 35R11 PDFBibTeX XMLCite \textit{W. Huang} and \textit{J. Shen}, SIAM J. Sci. Comput. 46, No. 2, A744--A769 (2024; Zbl 07816751) Full Text: DOI arXiv
Xia, Xiaoyu; Yan, Litan; Yang, Qing The long time behavior of the fractional Ornstein-Uhlenbeck process with linear self-repelling drift. (English) Zbl 07815364 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 671-685 (2024). MSC: 60G22 39A50 41A25 35B40 PDFBibTeX XMLCite \textit{X. Xia} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 671--685 (2024; Zbl 07815364) Full Text: DOI
Tamboli, Vahisht K.; Tandel, Priti V. Solution of the non-linear time-fractional Kudryashov-Sinelshchikov equation using fractional reduced differential transform method. (English) Zbl 07815048 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 24, 31 p. (2024). MSC: 26A33 35C07 35G25 35Q35 35R11 39A14 PDFBibTeX XMLCite \textit{V. K. Tamboli} and \textit{P. V. Tandel}, Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 24, 31 p. (2024; Zbl 07815048) Full Text: DOI
Mehrez, Sana; Miraoui, Mohsen; Agarwal, Praveen Expansion formulas for a class of function related to incomplete Fox-Wright function. (English) Zbl 07815046 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 22, 18 p. (2024). MSC: 33C47 33E12 33E30 30C45 26A33 PDFBibTeX XMLCite \textit{S. Mehrez} et al., Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 22, 18 p. (2024; Zbl 07815046) Full Text: DOI
Feng, Xiaoli; Yuan, Xiaoyu; Zhao, Meixia; Qian, Zhi Numerical methods for the forward and backward problems of a time-space fractional diffusion equation. (English) Zbl 07814910 Calcolo 61, No. 1, Paper No. 16, 37 p. (2024). MSC: 65L10 65K10 PDFBibTeX XMLCite \textit{X. Feng} et al., Calcolo 61, No. 1, Paper No. 16, 37 p. (2024; Zbl 07814910) Full Text: DOI
Wang, Yihong; Sun, Tao Two linear finite difference schemes based on exponential basis for two-dimensional time fractional Burgers equation. (English) Zbl 07814535 Physica D 459, Article ID 134024, 16 p. (2024). MSC: 65M06 65N06 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{T. Sun}, Physica D 459, Article ID 134024, 16 p. (2024; Zbl 07814535) Full Text: DOI
Sakariya, Harshad; Kumar, Sushil Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions. (English) Zbl 07812592 J. Math. Chem. 62, No. 4, 836-864 (2024). MSC: 65M70 65M06 65N35 65D12 35K57 80A32 26A33 35R11 35Q79 PDFBibTeX XMLCite \textit{H. Sakariya} and \textit{S. Kumar}, J. Math. Chem. 62, No. 4, 836--864 (2024; Zbl 07812592) Full Text: DOI
Kim, Jeongho; Moon, Bora Finite difference time domain methods for the Dirac equation coupled with the Chern-Simons gauge field. (English) Zbl 07812563 J. Sci. Comput. 99, No. 1, Paper No. 9, 42 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M12 65M15 35Q41 82D55 81V70 26A33 35R11 81T13 35A01 35A02 PDFBibTeX XMLCite \textit{J. Kim} and \textit{B. Moon}, J. Sci. Comput. 99, No. 1, Paper No. 9, 42 p. (2024; Zbl 07812563) Full Text: DOI
Choi, Q-Heung; Jung, Tacksun A weak solution for the fractional \(N\)-Laplacian flow. (English) Zbl 07811282 Anal. Math. Phys. 14, No. 1, Paper No. 8, 30 p. (2024). MSC: 35R11 35A25 35B50 35D30 35K59 46E30 PDFBibTeX XMLCite \textit{Q-H. Choi} and \textit{T. Jung}, Anal. Math. Phys. 14, No. 1, Paper No. 8, 30 p. (2024; Zbl 07811282) Full Text: DOI
Zhang, Yuting; Feng, Xinlong; Qian, Lingzhi A second-order \(L2\)-\(1_\sigma\) difference scheme for the nonlinear time-space fractional Schrödinger equation. (English) Zbl 07810037 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024). MSC: 65M06 65N06 65M12 65M15 65B05 26A33 35R11 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024; Zbl 07810037) Full Text: DOI
Tan, Zhijun \(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations. (English) Zbl 07810028 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107830, 21 p. (2024). MSC: 65M55 65M60 65M06 65N55 65N30 65N50 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Tan}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107830, 21 p. (2024; Zbl 07810028) Full Text: DOI
Yang, Xuehua; Zhang, Zhimin On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations. (English) Zbl 07809671 Appl. Math. Lett. 150, Article ID 108972, 6 p. (2024). MSC: 65M08 65M06 65N08 65H10 35A21 35B09 26A33 35R11 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Yang} and \textit{Z. Zhang}, Appl. Math. Lett. 150, Article ID 108972, 6 p. (2024; Zbl 07809671) Full Text: DOI
Xing, Zhiyong; Zhang, Haiqing; Liu, Nan Asymptotically compatible energy of two variable-step fractional BDF2 schemes for the time fractional Allen-Cahn model. (English) Zbl 07809650 Appl. Math. Lett. 150, Article ID 108942, 6 p. (2024). MSC: 65M70 65M06 65N35 37C25 35B40 35R09 26A33 35R11 35Q56 PDFBibTeX XMLCite \textit{Z. Xing} et al., Appl. Math. Lett. 150, Article ID 108942, 6 p. (2024; Zbl 07809650) Full Text: DOI
Wu, Guo-Cheng; Wei, Jia-Li; Xia, Tie-Cheng Multi-layer neural networks for data-driven learning of fractional difference equations’ stability, periodicity and chaos. (English) Zbl 07808034 Physica D 457, Article ID 133980, 8 p. (2024). MSC: 39A30 39A23 39A33 39A13 26A33 68T07 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Physica D 457, Article ID 133980, 8 p. (2024; Zbl 07808034) Full Text: DOI
Fan, Enyu; Li, Changpin Diffusion in Allen-Cahn equation: normal vs anomalous. (English) Zbl 07808027 Physica D 457, Article ID 133973, 15 p. (2024). MSC: 65M60 65M06 65N30 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{E. Fan} and \textit{C. Li}, Physica D 457, Article ID 133973, 15 p. (2024; Zbl 07808027) Full Text: DOI
Taneja, Komal; Deswal, Komal; Kumar, Devendra; Baleanu, Dumitru Novel numerical approach for time fractional equations with nonlocal condition. (English) Zbl 07807008 Numer. Algorithms 95, No. 3, 1413-1433 (2024). MSC: 65J15 34K37 35R11 35F16 65M06 PDFBibTeX XMLCite \textit{K. Taneja} et al., Numer. Algorithms 95, No. 3, 1413--1433 (2024; Zbl 07807008) Full Text: DOI
Khibiev, Aslanbek; Alikhanov, Anatoly; Huang, Chengming A second-order difference scheme for generalized time-fractional diffusion equation with smooth solutions. (English) Zbl 07804036 Comput. Methods Appl. Math. 24, No. 1, 101-117 (2024). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{A. Khibiev} et al., Comput. Methods Appl. Math. 24, No. 1, 101--117 (2024; Zbl 07804036) Full Text: DOI arXiv
Thomas, Reetha; Bakkyaraj, T. Exact solution of time-fractional differential-difference equations: invariant subspace, partially invariant subspace, generalized separation of variables. (English) Zbl 07803459 Comput. Appl. Math. 43, No. 1, Paper No. 51, 25 p. (2024). MSC: 35R11 33E30 65L12 83C15 PDFBibTeX XMLCite \textit{R. Thomas} and \textit{T. Bakkyaraj}, Comput. Appl. Math. 43, No. 1, Paper No. 51, 25 p. (2024; Zbl 07803459) Full Text: DOI
Liao, Hong-Lin; Tang, Tao; Zhou, Tao Positive definiteness of real quadratic forms resulting from the variable-step \(\mathrm{L}1\)-type approximations of convolution operators. (English) Zbl 07803265 Sci. China, Math. 67, No. 2, 237-252 (2024). MSC: 65M06 65N06 65M12 35R09 45D05 26A33 35R11 PDFBibTeX XMLCite \textit{H.-L. Liao} et al., Sci. China, Math. 67, No. 2, 237--252 (2024; Zbl 07803265) Full Text: DOI arXiv
Salehi Shayegan, Amir Hossein; Zakeri, Ali; Salehi Shayegan, Adib Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant. (English) Zbl 07803165 J. Inverse Ill-Posed Probl. 32, No. 1, 107-126 (2024). MSC: 65M32 65M30 65M60 65M06 65N30 65H10 65K10 47A52 35R30 35R25 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{A. H. Salehi Shayegan} et al., J. Inverse Ill-Posed Probl. 32, No. 1, 107--126 (2024; Zbl 07803165) 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
Trofimowicz, Damian; Stefański, Tomasz P.; Gulgowski, Jacek; Talaśka, Tomasz Modelling and simulations in time-fractional electrodynamics based on control engineering methods. (English) Zbl 07801786 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107720, 20 p. (2024). MSC: 78M20 78A25 78A40 35A20 93C20 49M41 33E12 65F15 35Q61 26A33 35R11 PDFBibTeX XMLCite \textit{D. Trofimowicz} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107720, 20 p. (2024; Zbl 07801786) Full Text: DOI
Antoine, Xavier; Gaidamour, Jérémie; Lorin, Emmanuel Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 07801761 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N35 65M12 65N06 65F10 49M41 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024; Zbl 07801761) Full Text: DOI
Qi, Ren-jun; Zhao, Xuan A unified design of energy stable schemes with variable steps for fractional gradient flows and nonlinear integro-differential equations. (English) Zbl 07801541 SIAM J. Sci. Comput. 46, No. 1, A130-A155 (2024). MSC: 35Q99 26A33 35R11 35R09 65M70 65M06 65N35 65N50 65M12 PDFBibTeX XMLCite \textit{R.-j. Qi} and \textit{X. Zhao}, SIAM J. Sci. Comput. 46, No. 1, A130--A155 (2024; Zbl 07801541) Full Text: DOI
Cabada, Alberto; Dimitrov, Nikolay D.; Jonnalagadda, Jagan Mohan Green’s functions and existence of solutions of nonlinear fractional implicit difference equations with Dirichlet boundary conditions. (English) Zbl 07797535 Opusc. Math. 44, No. 2, 167-195 (2024). MSC: 39A27 39A12 39A13 26A33 PDFBibTeX XMLCite \textit{A. Cabada} et al., Opusc. Math. 44, No. 2, 167--195 (2024; Zbl 07797535) Full Text: DOI arXiv
Zhou, Han; Tian, Wenyi Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time. (English) Zbl 07794705 J. Sci. Comput. 98, No. 2, Paper No. 50, 24 p. (2024). MSC: 65M60 65M06 65N30 65M15 44A10 35B65 26A33 35R11 35R05 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{W. Tian}, J. Sci. Comput. 98, No. 2, Paper No. 50, 24 p. (2024; Zbl 07794705) Full Text: DOI arXiv
Kumari, Sarita; Pandey, Rajesh K. Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems. (English) Zbl 07793575 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107769, 25 p. (2024). MSC: 65M06 65N06 65M12 65M15 35B65 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{S. Kumari} and \textit{R. K. Pandey}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107769, 25 p. (2024; Zbl 07793575) Full Text: DOI
Amilo, David; Sadri, Khadijeh; Kaymakamzade, Bilgen; Hincal, Evren A mathematical model with fractional-order dynamics for the combined treatment of metastatic colorectal cancer. (English) Zbl 07793563 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107756, 29 p. (2024). MSC: 81T80 65N06 93C20 PDFBibTeX XMLCite \textit{D. Amilo} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107756, 29 p. (2024; Zbl 07793563) Full Text: DOI
Elmahdi, Emadidin Gahalla Mohmed; Arshad, Sadia; Huang, Jianfei A compact difference scheme for time-space fractional nonlinear diffusion-wave equations with initial singularity. (English) Zbl 07792919 Adv. Appl. Math. Mech. 16, No. 1, 146-163 (2024). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{E. G. M. Elmahdi} et al., Adv. Appl. Math. Mech. 16, No. 1, 146--163 (2024; Zbl 07792919) Full Text: DOI
Wang, Qiu-Ya; She, Zi-Hang; Lao, Cheng-Xue; Lin, Fu-Rong Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations. (English) Zbl 07792403 Numer. Algorithms 95, No. 2, 859-895 (2024). MSC: 65M06 65N06 65F08 65F10 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Q.-Y. Wang} et al., Numer. Algorithms 95, No. 2, 859--895 (2024; Zbl 07792403) Full Text: DOI
Zhou, Yongtao; Li, Cui; Stynes, Martin A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 07792397 Numer. Algorithms 95, No. 2, 693-720 (2024). MSC: 65L05 65L12 65L70 65M06 65M15 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Numer. Algorithms 95, No. 2, 693--720 (2024; Zbl 07792397) Full Text: DOI
Alsaedi, Ahmed; Ahmad, Bashir; Al-Hutami, Hana Nonlinear multi-term impulsive fractional \(q\)-difference equations with closed boundary conditions. (English) Zbl 07790250 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 67, 24 p. (2024). MSC: 39A13 39A27 26A33 PDFBibTeX XMLCite \textit{A. Alsaedi} et al., Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 67, 24 p. (2024; Zbl 07790250) Full Text: DOI
Wang, Yibo; Cao, Wanrong Strong \(1.5\) order scheme for fractional Langevin equation based on spectral approximation of white noise. (English) Zbl 07785653 Numer. Algorithms 95, No. 1, 423-450 (2024). MSC: 65C30 26A33 41A25 44A10 60H10 60H35 65L70 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Cao}, Numer. Algorithms 95, No. 1, 423--450 (2024; Zbl 07785653) Full Text: DOI
Kazmi, Kamran A fast and high-order IMEX method for non-linear time-space-fractional reaction-diffusion equations. (English) Zbl 07785647 Numer. Algorithms 95, No. 1, 243-266 (2024). MSC: 65M06 65N06 65M70 65T50 65B05 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{K. Kazmi}, Numer. Algorithms 95, No. 1, 243--266 (2024; Zbl 07785647) Full Text: DOI
Jacobson, Alon; Hu, Xiaozhe Structure-preserving discretization of fractional vector calculus using discrete exterior calculus. (English) Zbl 07784335 Comput. Math. Appl. 153, 186-196 (2024). MSC: 65-XX 35R11 26A33 65N06 65M06 34A08 PDFBibTeX XMLCite \textit{A. Jacobson} and \textit{X. Hu}, Comput. Math. Appl. 153, 186--196 (2024; Zbl 07784335) Full Text: DOI arXiv
Yang, Zhengya; Chen, Xuejuan; Chen, Yanping; Wang, Jing Accurate numerical simulations for fractional diffusion equations using spectral deferred correction methods. (English) Zbl 07784331 Comput. Math. Appl. 153, 123-129 (2024). MSC: 65-XX 35R11 65M70 26A33 65M12 65M06 PDFBibTeX XMLCite \textit{Z. Yang} et al., Comput. Math. Appl. 153, 123--129 (2024; Zbl 07784331) Full Text: DOI
Li, Yu; Li, Boxiao High-order exponential integrators for the Riesz space-fractional telegraph equation. (English) Zbl 07784264 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107607, 16 p. (2024). MSC: 65L10 65L60 PDFBibTeX XMLCite \textit{Y. Li} and \textit{B. Li}, Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107607, 16 p. (2024; Zbl 07784264) Full Text: DOI
Jiang, Huiling; Hu, Dongdong Energy dissipation-preserving GSAV-Fourier-Galerkin spectral schemes for space-fractional nonlinear wave equations in multiple dimensions. (English) Zbl 07784247 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107587, 19 p. (2024). MSC: 65M06 65M12 65T50 35R11 PDFBibTeX XMLCite \textit{H. Jiang} and \textit{D. Hu}, Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107587, 19 p. (2024; Zbl 07784247) Full Text: DOI
Yang, Jinping; Green, Charles Wing Ho; Pani, Amiya K.; Yan, Yubin Unconditionally stable and convergent difference scheme for superdiffusion with extrapolation. (English) Zbl 07784046 J. Sci. Comput. 98, No. 1, Paper No. 12, 27 p. (2024). MSC: 65M06 65N06 65D05 65B05 65M15 65M12 45K05 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Sci. Comput. 98, No. 1, Paper No. 12, 27 p. (2024; Zbl 07784046) Full Text: DOI OA License
Yang, Yuhui; Green, Charles Wing Ho; Pani, Amiya K.; Yan, Yubin High-order schemes based on extrapolation for semilinear fractional differential equation. (English) Zbl 07783086 Calcolo 61, No. 1, Paper No. 2, 40 p. (2024). MSC: 65M06 65D32 41A55 65B05 65D05 65M15 65M12 35R09 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Yang} et al., Calcolo 61, No. 1, Paper No. 2, 40 p. (2024; Zbl 07783086) Full Text: DOI OA License
Qi, Ren-jun; Zhang, Wei; Zhao, Xuan Variable-step numerical schemes and energy dissipation laws for time fractional Cahn-Hilliard model. (English) Zbl 07782670 Appl. Math. Lett. 149, Article ID 108929, 6 p. (2024). MSC: 65M06 65N06 65M70 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{R.-j. Qi} et al., Appl. Math. Lett. 149, Article ID 108929, 6 p. (2024; Zbl 07782670) Full Text: DOI
Zhang, Xue; Gu, Xian-Ming; Zhao, Yong-Liang; Li, Hu; Gu, Chuan-Yun Two fast and unconditionally stable finite difference methods for Riesz fractional diffusion equations with variable coefficients. (English) Zbl 07764042 Appl. Math. Comput. 462, Article ID 128335, 19 p. (2024). MSC: 65Mxx 35Rxx 65Fxx PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. Comput. 462, Article ID 128335, 19 p. (2024; Zbl 07764042) Full Text: DOI
Tang, Shi-Ping; Huang, Yu-Mei A fast preconditioning iterative method for solving the discretized second-order space-fractional advection-diffusion equations. (English) Zbl 07756734 J. Comput. Appl. Math. 438, Article ID 115513, 26 p. (2024). MSC: 65Mxx 35Rxx 65Fxx PDFBibTeX XMLCite \textit{S.-P. Tang} and \textit{Y.-M. Huang}, J. Comput. Appl. Math. 438, Article ID 115513, 26 p. (2024; Zbl 07756734) Full Text: DOI
Macías-Díaz, J. E.; Serna-Reyes, Adán J.; Flores-Oropeza, Luis A. A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs’ free energy for a nonlinear combustion equation. (English) Zbl 07750661 J. Comput. Appl. Math. 437, Article ID 115492, 13 p. (2024). MSC: 65-XX 35R11 26A33 65M06 65M12 34A08 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} et al., J. Comput. Appl. Math. 437, Article ID 115492, 13 p. (2024; Zbl 07750661) Full Text: DOI
Nasiri, T.; Zakeri, A.; Aminataei, A. A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation. (English) Zbl 1527.65088 J. Comput. Appl. Math. 437, Article ID 115441, 20 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65M32 65M30 65M06 65T60 65K10 65J20 65F22 65M12 65M15 60G22 35A15 41A50 35A01 35A02 35R30 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{T. Nasiri} et al., J. Comput. Appl. Math. 437, Article ID 115441, 20 p. (2024; Zbl 1527.65088) Full Text: DOI
Abbas, Saïd; Ahmad, Bashir; Benchohra, Mouffak; Salim, Abdelkrim Fractional difference, differential equations, and inclusions. Analysis and stability. (English) Zbl 07707421 Amsterdam: Elsevier/Morgan Kaufmann (ISBN 978-0-443-23601-3/pbk; 978-0-443-23602-0/ebook). 300 p. (2024). MSC: 26-01 39-01 34-01 35-01 26A33 34A08 35R11 PDFBibTeX XMLCite \textit{S. Abbas} et al., Fractional difference, differential equations, and inclusions. Analysis and stability. Amsterdam: Elsevier/Morgan Kaufmann (2024; Zbl 07707421)
Zheng, Rumeng; Zhang, Hui Unconditionally convergent numerical method for the fractional activator-inhibitor system with anomalous diffusion. (English) Zbl 07824682 ZAMM, Z. Angew. Math. Mech. 103, No. 6, Article ID e202100546, 16 p. (2023). MSC: 65M70 65M06 65N35 65M15 42C10 35K57 26A33 35R11 PDFBibTeX XMLCite \textit{R. Zheng} and \textit{H. Zhang}, ZAMM, Z. Angew. Math. Mech. 103, No. 6, Article ID e202100546, 16 p. (2023; Zbl 07824682) Full Text: DOI
Tvërdyĭ, Dmitriĭ Aleksandrovich; Parovik, Roman Ivanovich; Khaëtov, Abdullo Rakhmonovich; Boltaev, Aziz Kozievich Parallelization of a numerical algorithm for solving the Cauchy problem for a nonlinear differential equation of fractional variable order using OpenMP technology. (English) Zbl 07823377 Vestn. KRAUNTS, Fiz.-Mat. Nauki 43, No. 2, 87-110 (2023). MSC: 34A08 65Y05 65M06 PDFBibTeX XMLCite \textit{D. A. Tvërdyĭ} et al., Vestn. KRAUNTS, Fiz.-Mat. Nauki 43, No. 2, 87--110 (2023; Zbl 07823377) Full Text: DOI MNR
Xiao, Liuchao; Li, Wenbo; Wei, Leilei; Zhang, Xindong A fully discrete local discontinuous Galerkin method for variable-order fourth-order equation with Caputo-Fabrizio derivative based on generalized numerical fluxes. (English) Zbl 07818887 Netw. Heterog. Media 18, No. 2, 532-546 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{L. Xiao} et al., Netw. Heterog. Media 18, No. 2, 532--546 (2023; Zbl 07818887) Full Text: DOI
Li, Peiluan; Peng, Xueqing; Xu, Changjin; Han, Liqin; Shi, Sairu Novel extended mixed controller design for bifurcation control of fractional-order Myc/E2F/miR-17-92 network model concerning delay. (English) Zbl 07816034 Math. Methods Appl. Sci. 46, No. 18, 18878-18898 (2023). MSC: 34C23 34K18 37G15 39A11 92B20 PDFBibTeX XMLCite \textit{P. Li} et al., Math. Methods Appl. Sci. 46, No. 18, 18878--18898 (2023; Zbl 07816034) Full Text: DOI
Gao, Yijin; Xie, Bowen Numerical analysis for fractional Bratu type equation with explicit and implicit methods. (English) Zbl 07816011 Math. Methods Appl. Sci. 46, No. 17, 18447-18457 (2023). MSC: 34A08 65M06 65N06 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{B. Xie}, Math. Methods Appl. Sci. 46, No. 17, 18447--18457 (2023; Zbl 07816011) Full Text: DOI
Ji, Cui-Cui; Dai, Weizhong Numerical algorithm with fourth-order spatial accuracy for solving the time-fractional dual-phase-lagging nanoscale heat conduction equation. (English) Zbl 07814766 Numer. Math., Theory Methods Appl. 16, No. 2, 511-540 (2023). MSC: 35R11 65M06 65M12 80A20 PDFBibTeX XMLCite \textit{C.-C. Ji} and \textit{W. Dai}, Numer. Math., Theory Methods Appl. 16, No. 2, 511--540 (2023; Zbl 07814766) Full Text: DOI
Abbas, Saïd; Benchohra, Mouffak; Cabada, Alberto Implicit Caputo fractional \(q\)-difference equations with non instantaneous impulses. (English) Zbl 07812188 Differ. Equ. Appl. 15, No. 3, 215-234 (2023). MSC: 26A33 34A37 34G20 PDFBibTeX XMLCite \textit{S. Abbas} et al., Differ. Equ. Appl. 15, No. 3, 215--234 (2023; Zbl 07812188) Full Text: DOI
Hajinezhad, Haniye; Soheili, Ali R. A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach. (English) Zbl 07809627 Comput. Methods Differ. Equ. 11, No. 4, 716-726 (2023). MSC: 35R11 65M06 65M70 PDFBibTeX XMLCite \textit{H. Hajinezhad} and \textit{A. R. Soheili}, Comput. Methods Differ. Equ. 11, No. 4, 716--726 (2023; Zbl 07809627) Full Text: DOI
Qi, Ren-Jun; Sun, Zhi-Zhong A fast temporal second order difference scheme for the fractional sub-diffusion equations on one dimensional space unbounded domain. (English) Zbl 07809588 J. Math. Study 56, No. 2, 173-205 (2023). MSC: 65M06 65M12 65M15 65M99 PDFBibTeX XMLCite \textit{R.-J. Qi} and \textit{Z.-Z. Sun}, J. Math. Study 56, No. 2, 173--205 (2023; Zbl 07809588) Full Text: DOI
Melliani, Said; Zamtain, Fouziya; Elomari, M’hamed; Chadli, Lalla Saadia Solving fuzzy fractional Atangana-Baleanu differential equation using Adams-Bashforth-Moulton method. (English) Zbl 07805689 Bol. Soc. Parana. Mat. (3) 41, Paper No. 131, 12 p. (2023). MSC: 26A33 03E72 65L05 PDFBibTeX XMLCite \textit{S. Melliani} et al., Bol. Soc. Parana. Mat. (3) 41, Paper No. 131, 12 p. (2023; Zbl 07805689) Full Text: DOI
Amilo, David; Kaymakamzade, Bilgen; Hınçal, Evren A study on lung cancer using nabla discrete fractional-order model. (English) Zbl 07804658 Math. Morav. 27, No. 2, 55-76 (2023). MSC: 39A12 92C50 92C60 92-08 34A34 PDFBibTeX XMLCite \textit{D. Amilo} et al., Math. Morav. 27, No. 2, 55--76 (2023; Zbl 07804658) Full Text: DOI
Bhatt, Harish Second-order time integrators with the Fourier spectral method in application to multidimensional space-fractional Fitzhugh-Nagumo model. (English) Zbl 07804452 Electron. Res. Arch. 31, No. 12, 7284-7306 (2023). MSC: 65M70 65M06 65N35 65B05 65D05 41A21 26A33 35R11 92C20 92C37 92C17 35Q92 PDFBibTeX XMLCite \textit{H. Bhatt}, Electron. Res. Arch. 31, No. 12, 7284--7306 (2023; Zbl 07804452) Full Text: DOI
Pan, Jun; Tang, Yuelong Two-grid \(H^1 \)-Galerkin mixed finite elements combined with \(L1\) scheme for nonlinear time fractional parabolic equations. (English) Zbl 07804448 Electron. Res. Arch. 31, No. 12, 7207-7223 (2023). MSC: 65M55 65M50 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{J. Pan} and \textit{Y. Tang}, Electron. Res. Arch. 31, No. 12, 7207--7223 (2023; Zbl 07804448) Full Text: DOI
Hérard, Jean-Marc; Jomée, Guillaume Relaxation process in an immiscible three-phase flow model. (English) Zbl 07802988 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 191-200 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 65M15 76T30 76N15 76L05 26A33 35R11 PDFBibTeX XMLCite \textit{J.-M. Hérard} and \textit{G. Jomée}, Springer Proc. Math. Stat. 433, 191--200 (2023; Zbl 07802988) 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
Ahmad, Hijaz; Jassim, Hassan Kamil Solving Burger’s and coupled Burger’s equations with Caputo-Fabrizio fractional operator. (English) Zbl 07800644 Facta Univ., Ser. Math. Inf. 38, No. 2, 241-252 (2023). MSC: 39A14 35C07 PDFBibTeX XMLCite \textit{H. Ahmad} and \textit{H. K. Jassim}, Facta Univ., Ser. Math. Inf. 38, No. 2, 241--252 (2023; Zbl 07800644) Full Text: DOI
Gu, Jie; Nong, Lijuan; Yi, Qian; Chen, An Two high-order compact difference schemes with temporal graded meshes for time-fractional Black-Scholes equation. (English) Zbl 07798677 Netw. Heterog. Media 18, No. 4, 1692-1712 (2023). MSC: 91G60 65M06 35R11 PDFBibTeX XMLCite \textit{J. Gu} et al., Netw. Heterog. Media 18, No. 4, 1692--1712 (2023; Zbl 07798677) Full Text: DOI
Li, Kexin; Chen, Hu; Xie, Shusen Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation. (English) Zbl 07798667 Netw. Heterog. Media 18, No. 4, 1454-1470 (2023). MSC: 65L05 65L12 PDFBibTeX XMLCite \textit{K. Li} et al., Netw. Heterog. Media 18, No. 4, 1454--1470 (2023; Zbl 07798667) Full Text: DOI
Li, Min; Ming, Ju; Qin, Tingting; Zhou, Boya Convergence of an energy-preserving finite difference method for the nonlinear coupled space-fractional Klein-Gordon equations. (English) Zbl 07798645 Netw. Heterog. Media 18, No. 3, 957-981 (2023). MSC: 65M06 65N06 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{M. Li} et al., Netw. Heterog. Media 18, No. 3, 957--981 (2023; Zbl 07798645) Full Text: DOI
Wang, Junjie; Zhang, Yaping; Zhai, Liangliang Structure-preserving scheme for one dimension and two dimension fractional KGS equations. (English) Zbl 07798642 Netw. Heterog. Media 18, No. 1, 463-493 (2023). MSC: 65L70 35Q55 PDFBibTeX XMLCite \textit{J. Wang} et al., Netw. Heterog. Media 18, No. 1, 463--493 (2023; Zbl 07798642) Full Text: DOI
Sun, L. L.; Chang, M. L. Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem. (English) Zbl 07798631 Netw. Heterog. Media 18, No. 1, 212-243 (2023). MSC: 65L05 65L10 PDFBibTeX XMLCite \textit{L. L. Sun} and \textit{M. L. Chang}, Netw. Heterog. Media 18, No. 1, 212--243 (2023; Zbl 07798631) Full Text: DOI
Baroudi, Sami; Elomari, M.’hamed; El Mfadel, Ali; Kassidi, Abderrazak Numerical solutions of the integro-partial fractional diffusion heat equation involving tempered \(\psi \)-Caputo fractional derivative. (English) Zbl 07798149 J. Math. Sci., New York 271, No. 4, Series A, 555-567 (2023). MSC: 65L05 26A33 PDFBibTeX XMLCite \textit{S. Baroudi} et al., J. Math. Sci., New York 271, No. 4, 555--567 (2023; Zbl 07798149) Full Text: DOI
Wang, Yue; Zhu, Beibei; Chen, Hu \(\alpha\)-robust \(H^1\)-norm convergence analysis of L1FEM-ADI scheme for 2D/3D subdiffusion equation with initial singularity. (English) Zbl 07795468 Math. Methods Appl. Sci. 46, No. 15, 16144-16155 (2023). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Wang} et al., Math. Methods Appl. Sci. 46, No. 15, 16144--16155 (2023; Zbl 07795468) Full Text: DOI
Choudhary, Renu; Singh, Satpal; Kumar, Devendra A high-order numerical technique for generalized time-fractional Fisher’s equation. (English) Zbl 07795463 Math. Methods Appl. Sci. 46, No. 15, 16050-16071 (2023). MSC: 65M06 65N06 65M12 26A33 35R11 35Qxx PDFBibTeX XMLCite \textit{R. Choudhary} et al., Math. Methods Appl. Sci. 46, No. 15, 16050--16071 (2023; Zbl 07795463) Full Text: DOI
Beshtokov, Murat Khamidbievich Numerical methods for solving nonlocal boundary value problems for generalized loaded hallaire equations. (Russian. English summary) Zbl 07793862 Vladikavkaz. Mat. Zh. 25, No. 3, 15-35 (2023). MSC: 65N06 65N12 PDFBibTeX XMLCite \textit{M. K. Beshtokov}, Vladikavkaz. Mat. Zh. 25, No. 3, 15--35 (2023; Zbl 07793862) Full Text: DOI MNR
Yousuf, M.; Khaliq, A. Q. M. Pricing American option using a modified fractional Black-Scholes model under multi-state regime switching. (English) Zbl 07793177 Int. J. Theor. Appl. Finance 26, No. 4-5, Article ID 2350019, 21 p. (2023). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G60 65M06 35R11 91G20 60G40 PDFBibTeX XMLCite \textit{M. Yousuf} and \textit{A. Q. M. Khaliq}, Int. J. Theor. Appl. Finance 26, No. 4--5, Article ID 2350019, 21 p. (2023; Zbl 07793177) Full Text: DOI
Weber, Franziska; Yue, Yukun On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system. (English) Zbl 07792487 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3275-3302 (2023). MSC: 65M06 65M12 76D05 76A15 26A33 35D30 35Q35 PDFBibTeX XMLCite \textit{F. Weber} and \textit{Y. Yue}, ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3275--3302 (2023; Zbl 07792487) Full Text: DOI arXiv
Taghipour, Fatemeh; Shirzadi, Ahmad; Safarpoor, Mansour An RBF-FD method for numerical solutions of 2D diffusion-wave and diffusion equations of distributed fractional order. (English) Zbl 07792182 J. Nonlinear Math. Phys. 30, No. 4, 1357-1374 (2023). MSC: 65M06 35R11 65M12 65M60 26A33 PDFBibTeX XMLCite \textit{F. Taghipour} et al., J. Nonlinear Math. Phys. 30, No. 4, 1357--1374 (2023; Zbl 07792182) Full Text: DOI OA License
Ali, Khalid K.; Raslan, K. R.; Ibrahim, Amira Abd-Elall; Mohamed, Mohamed S. On study the existence and uniqueness of the solution of the Caputo-Fabrizio coupled system of nonlocal fractional \(q\)-integro differential equations. (English) Zbl 1528.34062 Math. Methods Appl. Sci. 46, No. 12, 13226-13242 (2023). MSC: 34K37 34B10 39A13 PDFBibTeX XMLCite \textit{K. K. Ali} et al., Math. Methods Appl. Sci. 46, No. 12, 13226--13242 (2023; Zbl 1528.34062) Full Text: DOI
Ghosh, Bappa; Mohapatra, Jugal A novel numerical technique for solving time fractional nonlinear diffusion equations involving weak singularities. (English) Zbl 07790758 Math. Methods Appl. Sci. 46, No. 12, 12811-12825 (2023). MSC: 65M06 65N06 65M12 65M15 35A21 35R10 26A33 35R11 35Q35 35Q92 PDFBibTeX XMLCite \textit{B. Ghosh} and \textit{J. Mohapatra}, Math. Methods Appl. Sci. 46, No. 12, 12811--12825 (2023; Zbl 07790758) Full Text: DOI
Liu, Ze-Yu; Xia, Tie-Cheng; Hu, Ye Dynamic analysis of new two-dimensional fractional-order discrete chaotic map and its application in cryptosystem. (English) Zbl 1528.37077 Math. Methods Appl. Sci. 46, No. 12, 12319-12339 (2023). MSC: 37N35 34F10 39A10 94A60 PDFBibTeX XMLCite \textit{Z.-Y. Liu} et al., Math. Methods Appl. Sci. 46, No. 12, 12319--12339 (2023; Zbl 1528.37077) Full Text: DOI
Vabishchevich, Petr N. Nonlinear approximation of functions based on nonnegative least squares solver. (English) Zbl 07790639 Numer. Linear Algebra Appl. 30, No. 6, e2522, 11 p. (2023). MSC: 26A33 35R11 65F60 65M06 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Numer. Linear Algebra Appl. 30, No. 6, e2522, 11 p. (2023; Zbl 07790639) Full Text: DOI arXiv
Alzabut, Jehad; Grace, Said Rezk; Selvam, A. George Maria; Janagaraj, Rajendran Nonoscillatory solutions of discrete fractional order equations with positive and negative terms. (English) Zbl 07790597 Math. Bohem. 148, No. 4, 461-479 (2023). MSC: 26A33 39A10 39A13 39A21 PDFBibTeX XMLCite \textit{J. Alzabut} et al., Math. Bohem. 148, No. 4, 461--479 (2023; Zbl 07790597) Full Text: DOI
Singh, Anshima; Kumar, Sunil; Vigo-Aguiar, Jesus High-order schemes and their error analysis for generalized variable coefficients fractional reaction-diffusion equations. (English) Zbl 07789794 Math. Methods Appl. Sci. 46, No. 16, 16521-16541 (2023). MSC: 65M06 65M12 65M70 35R11 PDFBibTeX XMLCite \textit{A. Singh} et al., Math. Methods Appl. Sci. 46, No. 16, 16521--16541 (2023; Zbl 07789794) Full Text: DOI
Gautam, Ganga Ram; Pinelas, Sandra; Kumar, Manoj; Arya, Namrata; Bishnoi, Jaimala On the solution of \(\mathcal{T}\)-controllable abstract fractional differential equations with impulsive effects. (English) Zbl 07788520 Cubo 25, No. 3, 363-386 (2023). MSC: 34A08 34K37 34A12 37H10 93B05 PDFBibTeX XMLCite \textit{G. R. Gautam} et al., Cubo 25, No. 3, 363--386 (2023; Zbl 07788520) Full Text: DOI
Jonnalagadda, Jagan Mohan Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps. (English) Zbl 07787964 Topol. Methods Nonlinear Anal. 61, No. 2, 869-888 (2023). MSC: 39A27 39A13 26A33 PDFBibTeX XMLCite \textit{J. M. Jonnalagadda}, Topol. Methods Nonlinear Anal. 61, No. 2, 869--888 (2023; Zbl 07787964) Full Text: DOI Link
Hosseini, Kamyar; Sadri, Khadijeh; Mirzazadeh, Mohammad; Ahmadian, Ali; Chu, Yu-Ming; Salahshour, Soheil Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative. (English) Zbl 07787284 Math. Methods Appl. Sci. 46, No. 10, 11342-11354 (2023). MSC: 34A08 37M99 PDFBibTeX XMLCite \textit{K. Hosseini} et al., Math. Methods Appl. Sci. 46, No. 10, 11342--11354 (2023; Zbl 07787284) Full Text: DOI
Kumar, Dinesh; Ayant, Frédéric Certain integral equation of Fredholm type with special functions. (English) Zbl 07787012 São Paulo J. Math. Sci. 17, No. 2, 957-968 (2023). MSC: 45B05 33E30 33C60 26A33 33E20 PDFBibTeX XMLCite \textit{D. Kumar} and \textit{F. Ayant}, São Paulo J. Math. Sci. 17, No. 2, 957--968 (2023; Zbl 07787012) Full Text: DOI
Schäfer, Moritz; Götz, Thomas A numerical method for space-fractional diffusion models with mass-conserving boundary conditions. (English) Zbl 1528.65052 Math. Methods Appl. Sci. 46, No. 13, 14145-14163 (2023). MSC: 65M06 35R11 92D30 PDFBibTeX XMLCite \textit{M. Schäfer} and \textit{T. Götz}, Math. Methods Appl. Sci. 46, No. 13, 14145--14163 (2023; Zbl 1528.65052) Full Text: DOI OA License
Allouch, Nadia; Hamani, Samira Boundary value problem for fractional \(q\)-difference equations in Banach space. (English) Zbl 07784528 Rocky Mt. J. Math. 53, No. 4, 1001-1010 (2023). MSC: 39A27 39A13 47H10 47H08 26A33 PDFBibTeX XMLCite \textit{N. Allouch} and \textit{S. Hamani}, Rocky Mt. J. Math. 53, No. 4, 1001--1010 (2023; Zbl 07784528) Full Text: DOI Link
Sun, Lu-Yao; Lei, Siu-Long; Sun, Hai-Wei Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation. (English) Zbl 07784413 Comput. Appl. Math. 42, No. 8, Paper No. 362, 14 p. (2023). MSC: 65-XX 35R11 65M15 65M06 PDFBibTeX XMLCite \textit{L.-Y. Sun} et al., Comput. Appl. Math. 42, No. 8, Paper No. 362, 14 p. (2023; Zbl 07784413) Full Text: DOI
Alavi, Javad; Aminikhah, Hossein An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation. (English) Zbl 07784401 Comput. Appl. Math. 42, No. 8, Paper No. 350, 25 p. (2023). MSC: 65M06 65D07 34K37 45K05 PDFBibTeX XMLCite \textit{J. Alavi} and \textit{H. Aminikhah}, Comput. Appl. Math. 42, No. 8, Paper No. 350, 25 p. (2023; Zbl 07784401) Full Text: DOI
Liu, Yi; Liu, Fawang; Jiang, Xiaoyun Numerical calculation and fast method for the magnetohydrodynamic flow and heat transfer of fractional Jeffrey fluid on a two-dimensional irregular convex domain. (English) Zbl 07783955 Comput. Math. Appl. 151, 473-490 (2023). MSC: 65M06 35R11 65M12 26A33 65M60 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 151, 473--490 (2023; Zbl 07783955) Full Text: DOI
Kumari, Sarita; Pandey, Rajesh K. Single-term and multi-term nonuniform time-stepping approximation methods for two-dimensional time-fractional diffusion-wave equation. (English) Zbl 07783947 Comput. Math. Appl. 151, 359-383 (2023). MSC: 65M06 35R11 65M12 26A33 65M15 PDFBibTeX XMLCite \textit{S. Kumari} and \textit{R. K. Pandey}, Comput. Math. Appl. 151, 359--383 (2023; Zbl 07783947) Full Text: DOI
Liu, Nabing; Zhu, Lin; Sheng, Qin A semi-adaptive preservative scheme for a fractional quenching convective-diffusion problem. (English) Zbl 07783941 Comput. Math. Appl. 151, 288-299 (2023). MSC: 65M06 65M12 35K57 65M20 35K65 PDFBibTeX XMLCite \textit{N. Liu} et al., Comput. Math. Appl. 151, 288--299 (2023; Zbl 07783941) Full Text: DOI
Li, Qing; Chen, Huanzhen An efficient compact difference-proper orthogonal decomposition algorithm for fractional viscoelastic plate vibration model. (English) Zbl 07783935 Comput. Math. Appl. 151, 190-214 (2023). MSC: 65M06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{Q. Li} and \textit{H. Chen}, Comput. Math. Appl. 151, 190--214 (2023; Zbl 07783935) Full Text: DOI
Yousuf, M.; Furati, K. M.; Khaliq, A. Q. M. A hybrid fourth order time stepping method for space distributed order nonlinear reaction-diffusion equations. (English) Zbl 07783929 Comput. Math. Appl. 151, 116-126 (2023). MSC: 65M12 65M06 26A33 35R11 65M15 PDFBibTeX XMLCite \textit{M. Yousuf} et al., Comput. Math. Appl. 151, 116--126 (2023; Zbl 07783929) Full Text: DOI
Ma, Lei; Li, Rongxin; Zeng, Fanhai; Guo, Ling; Karniadakis, George Em Bi-orthogonal fPINN: a physics-informed neural network method for solving time-dependent stochastic fractional PDEs. (English) Zbl 07783920 Commun. Comput. Phys. 34, No. 4, 1133-1176 (2023). MSC: 65M32 68T07 68Q32 65C05 65M06 65D32 49M41 65M12 65M15 35R30 35R60 26A33 35R11 PDFBibTeX XMLCite \textit{L. Ma} et al., Commun. Comput. Phys. 34, No. 4, 1133--1176 (2023; Zbl 07783920) Full Text: DOI arXiv