Yang, Jiye; Li, Yuqing; Liu, Zhiyong A finite difference/Kansa method for the two-dimensional time and space fractional Bloch-Torrey equation. (English) Zbl 07801626 Comput. Math. Appl. 156, 1-15 (2024). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 156, 1--15 (2024; Zbl 07801626) Full Text: DOI
Sana, Soura; Mandal, Bankim C. Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for heterogeneous sub-diffusion and diffusion-wave equations. (English) Zbl 07772638 Comput. Math. Appl. 150, 102-124 (2023). MSC: 65M12 65M55 65Y05 26A33 65M06 PDFBibTeX XMLCite \textit{S. Sana} and \textit{B. C. Mandal}, Comput. Math. Appl. 150, 102--124 (2023; Zbl 07772638) Full Text: DOI arXiv
Derakhshan, Mohammad Hossein Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model. (English) Zbl 07731302 Comput. Math. Appl. 144, 150-163 (2023). MSC: 65-XX 35R11 65M12 26A33 65M06 65M60 PDFBibTeX XMLCite \textit{M. H. Derakhshan}, Comput. Math. Appl. 144, 150--163 (2023; Zbl 07731302) 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
Chou, Lot-Kei; Lei, Siu-Long Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations. (English) Zbl 1524.65451 Comput. Math. Appl. 89, 116-126 (2021). MSC: 65M08 35R11 65M06 65M12 26A33 15B05 65N08 65F55 PDFBibTeX XMLCite \textit{L.-K. Chou} and \textit{S.-L. Lei}, Comput. Math. Appl. 89, 116--126 (2021; Zbl 1524.65451) Full Text: DOI
Zaky, Mahmoud A.; Machado, J. Tenreiro Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. (English) Zbl 1443.65257 Comput. Math. Appl. 79, No. 2, 476-488 (2020). MSC: 65M70 PDFBibTeX XMLCite \textit{M. A. Zaky} and \textit{J. T. Machado}, Comput. Math. Appl. 79, No. 2, 476--488 (2020; Zbl 1443.65257) 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
Sin, Chung-Sik; O, Hyong-Chol; Kim, Sang-Mun Diffusion equations with general nonlocal time and space derivatives. (English) Zbl 1443.60076 Comput. Math. Appl. 78, No. 10, 3268-3284 (2019). MSC: 60J60 35R11 60G51 60J70 PDFBibTeX XMLCite \textit{C.-S. Sin} et al., Comput. Math. Appl. 78, No. 10, 3268--3284 (2019; Zbl 1443.60076) Full Text: DOI arXiv
Zhang, Jun; Chen, Hu; Lin, Shimin; Wang, Jinrong Finite difference/spectral approximation for a time-space fractional equation on two and three space dimensions. (English) Zbl 1442.65185 Comput. Math. Appl. 78, No. 6, 1937-1946 (2019). MSC: 65M06 35R11 65M70 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Math. Appl. 78, No. 6, 1937--1946 (2019; Zbl 1442.65185) Full Text: DOI
Xu, Qinwu; Xu, Yufeng Quenching study of two-dimensional fractional reaction-diffusion equation from combustion process. (English) Zbl 1442.80006 Comput. Math. Appl. 78, No. 5, 1490-1506 (2019). MSC: 80A25 92E20 35R11 65M60 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{Y. Xu}, Comput. Math. Appl. 78, No. 5, 1490--1506 (2019; Zbl 1442.80006) Full Text: DOI
Padgett, Joshua L. The quenching of solutions to time-space fractional Kawarada problems. (English) Zbl 1430.35259 Comput. Math. Appl. 76, No. 7, 1583-1592 (2018). MSC: 35R11 PDFBibTeX XMLCite \textit{J. L. Padgett}, Comput. Math. Appl. 76, No. 7, 1583--1592 (2018; Zbl 1430.35259) Full Text: DOI arXiv
Duo, Siwei; Ju, Lili; Zhang, Yanzhi A fast algorithm for solving the space-time fractional diffusion equation. (English) Zbl 1409.65053 Comput. Math. Appl. 75, No. 6, 1929-1941 (2018). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{S. Duo} et al., Comput. Math. Appl. 75, No. 6, 1929--1941 (2018; Zbl 1409.65053) Full Text: DOI
Zheng, Rumeng; Jiang, Xiaoyun; Zhang, Hui L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusion equations. (English) Zbl 1409.65082 Comput. Math. Appl. 75, No. 5, 1515-1530 (2018). MSC: 65M70 65M12 35R11 PDFBibTeX XMLCite \textit{R. Zheng} et al., Comput. Math. Appl. 75, No. 5, 1515--1530 (2018; Zbl 1409.65082) Full Text: DOI
Evans, Ryan M.; Katugampola, Udita N.; Edwards, David A. Applications of fractional calculus in solving Abel-type integral equations: surface-volume reaction problem. (English) Zbl 1409.65114 Comput. Math. Appl. 73, No. 6, 1346-1362 (2017). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{R. M. Evans} et al., Comput. Math. Appl. 73, No. 6, 1346--1362 (2017; Zbl 1409.65114) Full Text: DOI arXiv
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
Sandev, Trifce; Tomovski, Zivorad; Crnkovic, Bojan Generalized distributed order diffusion equations with composite time fractional derivative. (English) Zbl 1409.35227 Comput. Math. Appl. 73, No. 6, 1028-1040 (2017). MSC: 35R11 PDFBibTeX XMLCite \textit{T. Sandev} et al., Comput. Math. Appl. 73, No. 6, 1028--1040 (2017; Zbl 1409.35227) Full Text: DOI arXiv
Abdulhameed, M.; Vieru, D.; Roslan, R. Magnetohydrodynamic electroosmotic flow of Maxwell fluids with Caputo-Fabrizio derivatives through circular tubes. (English) Zbl 1394.76143 Comput. Math. Appl. 74, No. 10, 2503-2519 (2017). MSC: 76W05 PDFBibTeX XMLCite \textit{M. Abdulhameed} et al., Comput. Math. Appl. 74, No. 10, 2503--2519 (2017; Zbl 1394.76143) Full Text: DOI
Boyadjiev, Lyubomir; Luchko, Yuri Multi-dimensional \(\alpha\)-fractional diffusion-wave equation and some properties of its fundamental solution. (English) Zbl 1386.35427 Comput. Math. Appl. 73, No. 12, 2561-2572 (2017). MSC: 35R11 35A08 PDFBibTeX XMLCite \textit{L. Boyadjiev} and \textit{Y. Luchko}, Comput. Math. Appl. 73, No. 12, 2561--2572 (2017; Zbl 1386.35427) Full Text: DOI
Li, Kexue A characteristic of local existence for nonlinear fractional heat equations in Lebesgue spaces. (English) Zbl 1386.35447 Comput. Math. Appl. 73, No. 4, 653-665 (2017). MSC: 35R11 35K15 35K90 35A01 PDFBibTeX XMLCite \textit{K. Li}, Comput. Math. Appl. 73, No. 4, 653--665 (2017; Zbl 1386.35447) Full Text: DOI arXiv
Dou, F. F.; Hon, Y. C. Fundamental kernel-based method for backward space-time fractional diffusion problem. (English) Zbl 1443.65174 Comput. Math. Appl. 71, No. 1, 356-367 (2016). MSC: 65M30 65M80 35R11 PDFBibTeX XMLCite \textit{F. F. Dou} and \textit{Y. C. Hon}, Comput. Math. Appl. 71, No. 1, 356--367 (2016; Zbl 1443.65174) Full Text: DOI
Gao, Guang-hua; Sun, Zhi-zhong Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. (English) Zbl 1443.65124 Comput. Math. Appl. 69, No. 9, 926-948 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{G.-h. Gao} and \textit{Z.-z. Sun}, Comput. Math. Appl. 69, No. 9, 926--948 (2015; Zbl 1443.65124) Full Text: DOI
Luchko, Yuri; Mainardi, Francesco; Povstenko, Yuriy Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation. (English) Zbl 1381.35226 Comput. Math. Appl. 66, No. 5, 774-784 (2013). MSC: 35R11 35A08 PDFBibTeX XMLCite \textit{Y. Luchko} et al., Comput. Math. Appl. 66, No. 5, 774--784 (2013; Zbl 1381.35226) Full Text: DOI arXiv
Jiang, H.; Liu, Fawang; Turner, I.; Burrage, K. Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. (English) Zbl 1268.35124 Comput. Math. Appl. 64, No. 10, 3377-3388 (2012). MSC: 35R11 35C10 PDFBibTeX XMLCite \textit{H. Jiang} et al., Comput. Math. Appl. 64, No. 10, 3377--3388 (2012; Zbl 1268.35124) Full Text: DOI
Povstenko, Yuriy Theories of thermal stresses based on space-time-fractional telegraph equations. (English) Zbl 1268.74018 Comput. Math. Appl. 64, No. 10, 3321-3328 (2012). MSC: 74F05 35R11 35Q79 74D05 35Q74 80A17 PDFBibTeX XMLCite \textit{Y. Povstenko}, Comput. Math. Appl. 64, No. 10, 3321--3328 (2012; Zbl 1268.74018) Full Text: DOI
Liu, F.; Zhuang, P.; Burrage, K. Numerical methods and analysis for a class of fractional advection-dispersion models. (English) Zbl 1268.65124 Comput. Math. Appl. 64, No. 10, 2990-3007 (2012). MSC: 65M12 35R11 45K05 PDFBibTeX XMLCite \textit{F. Liu} et al., Comput. Math. Appl. 64, No. 10, 2990--3007 (2012; Zbl 1268.65124) Full Text: DOI
Dorville, René; Mophou, Gisèle M.; Valmorin, Vincent S. Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. (English) Zbl 1228.35263 Comput. Math. Appl. 62, No. 3, 1472-1481 (2011). MSC: 35R11 49J20 PDFBibTeX XMLCite \textit{R. Dorville} et al., Comput. Math. Appl. 62, No. 3, 1472--1481 (2011; Zbl 1228.35263) Full Text: DOI
Mophou, Gisèle M.; N’guérékata, Gaston M. Optimal control of a fractional diffusion equation with state constraints. (English) Zbl 1228.49003 Comput. Math. Appl. 62, No. 3, 1413-1426 (2011). MSC: 49J15 35R11 PDFBibTeX XMLCite \textit{G. M. Mophou} and \textit{G. M. N'guérékata}, Comput. Math. Appl. 62, No. 3, 1413--1426 (2011; Zbl 1228.49003) Full Text: DOI
Lukashchuk, S. Yu. Estimation of parameters in fractional subdiffusion equations by the time integral characteristics method. (English) Zbl 1228.35265 Comput. Math. Appl. 62, No. 3, 834-844 (2011). MSC: 35R11 26A33 35K20 45K05 65M32 PDFBibTeX XMLCite \textit{S. Yu. Lukashchuk}, Comput. Math. Appl. 62, No. 3, 834--844 (2011; Zbl 1228.35265) Full Text: DOI
Mophou, Gisèle. M. Optimal control of fractional diffusion equation. (English) Zbl 1207.49006 Comput. Math. Appl. 61, No. 1, 68-78 (2011). MSC: 49J20 45K05 49K20 PDFBibTeX XMLCite \textit{Gisèle. M. Mophou}, Comput. Math. Appl. 61, No. 1, 68--78 (2011; Zbl 1207.49006) Full Text: DOI
Odibat, Zaid M. Analytic study on linear systems of fractional differential equations. (English) Zbl 1189.34017 Comput. Math. Appl. 59, No. 3, 1171-1183 (2010). MSC: 34A08 26A33 34A30 34D20 45J05 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Comput. Math. Appl. 59, No. 3, 1171--1183 (2010; Zbl 1189.34017) Full Text: DOI
Luchko, Yury Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation. (English) Zbl 1189.35360 Comput. Math. Appl. 59, No. 5, 1766-1772 (2010). MSC: 35R11 26A33 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Luchko}, Comput. Math. Appl. 59, No. 5, 1766--1772 (2010; Zbl 1189.35360) Full Text: DOI
Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean Anomalous diffusion modeling by fractal and fractional derivatives. (English) Zbl 1189.35355 Comput. Math. Appl. 59, No. 5, 1754-1758 (2010). MSC: 35R11 26A33 35A08 PDFBibTeX XMLCite \textit{W. Chen} et al., Comput. Math. Appl. 59, No. 5, 1754--1758 (2010; Zbl 1189.35355) Full Text: DOI
Odibat, Zaid; Momani, Shaher The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. (English) Zbl 1189.65254 Comput. Math. Appl. 58, No. 11-12, 2199-2208 (2009). MSC: 65M99 26A33 76A02 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{S. Momani}, Comput. Math. Appl. 58, No. 11--12, 2199--2208 (2009; Zbl 1189.65254) Full Text: DOI