Guidotti, Nicolas L.; Acebrón, Juan A.; Monteiro, José A stochastic method for solving time-fractional differential equations. (English) Zbl 07824632 Comput. Math. Appl. 159, 240-253 (2024). MSC: 65-XX 60-XX PDFBibTeX XMLCite \textit{N. L. Guidotti} et al., Comput. Math. Appl. 159, 240--253 (2024; Zbl 07824632) Full Text: DOI arXiv
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
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
Sahoo, Sanjay Ku; Gupta, Vikas A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem. (English) Zbl 07674330 Comput. Math. Appl. 137, 126-146 (2023). MSC: 65M06 65M12 35B25 34E15 26A33 PDFBibTeX XMLCite \textit{S. K. Sahoo} and \textit{V. Gupta}, Comput. Math. Appl. 137, 126--146 (2023; Zbl 07674330) Full Text: DOI
Toprakseven, Şuayip A weak Galerkin finite element method on temporal graded meshes for the multi-term time fractional diffusion equations. (English) Zbl 1504.65214 Comput. Math. Appl. 128, 108-120 (2022). MSC: 65M60 35R11 65M12 65M15 65R20 PDFBibTeX XMLCite \textit{Ş. Toprakseven}, Comput. Math. Appl. 128, 108--120 (2022; Zbl 1504.65214) Full Text: DOI
Zhang, Haixiang; Yang, Xuehua; Tang, Qiong; Xu, Da A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation. (English) Zbl 1524.65694 Comput. Math. Appl. 109, 180-190 (2022). MSC: 65M70 35R11 65M06 65M12 65M15 65D07 35B45 PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Math. Appl. 109, 180--190 (2022; Zbl 1524.65694) Full Text: DOI
Wang, Lin; Stynes, Martin An \(\alpha \)-robust finite difference method for a time-fractional radially symmetric diffusion problem. (English) Zbl 1524.65411 Comput. Math. Appl. 97, 386-393 (2021). MSC: 65M06 35R11 65M15 65M60 26A33 35B06 74F05 80A19 65N06 PDFBibTeX XMLCite \textit{L. Wang} and \textit{M. Stynes}, Comput. Math. Appl. 97, 386--393 (2021; Zbl 1524.65411) 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
Trong, Dang Duc; Hai, Dinh Nguyen Duy Backward problem for time-space fractional diffusion equations in Hilbert scales. (English) Zbl 1524.35722 Comput. Math. Appl. 93, 253-264 (2021). MSC: 35R11 35R30 35R25 65M32 35K05 PDFBibTeX XMLCite \textit{D. D. Trong} and \textit{D. N. D. Hai}, Comput. Math. Appl. 93, 253--264 (2021; Zbl 1524.35722) Full Text: DOI
Guo, Shimin; Chen, Yaping; Mei, Liquan; Song, Yining Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains. (English) Zbl 1524.65652 Comput. Math. Appl. 93, 1-19 (2021). MSC: 65M70 35R11 65M12 65M06 65M15 26A33 65D32 33C45 65N35 PDFBibTeX XMLCite \textit{S. Guo} et al., Comput. Math. Appl. 93, 1--19 (2021; Zbl 1524.65652) Full Text: DOI
Yang, Xuehua; Zhang, Haixiang; Tang, Jie The OSC solver for the fourth-order sub-diffusion equation with weakly singular solutions. (English) Zbl 1524.65691 Comput. Math. Appl. 82, 1-12 (2021). MSC: 65M70 35R11 65M15 65M06 65D07 26A33 35B44 35B65 65N35 PDFBibTeX XMLCite \textit{X. Yang} et al., Comput. Math. Appl. 82, 1--12 (2021; Zbl 1524.65691) 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
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
Chen, Hu; Stynes, Martin A discrete comparison principle for the time-fractional diffusion equation. (English) Zbl 1447.65018 Comput. Math. Appl. 80, No. 5, 917-922 (2020). MSC: 65M06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{H. Chen} and \textit{M. Stynes}, Comput. Math. Appl. 80, No. 5, 917--922 (2020; Zbl 1447.65018) Full Text: DOI
Zhang, Mengmeng; Liu, Jijun Identification of a time-dependent source term in a distributed-order time-fractional equation from a nonlocal integral observation. (English) Zbl 1443.35200 Comput. Math. Appl. 78, No. 10, 3375-3389 (2019). MSC: 35R30 35K20 35R11 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{J. Liu}, Comput. Math. Appl. 78, No. 10, 3375--3389 (2019; Zbl 1443.35200) 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
Povstenko, Yuriy Generalized theory of diffusive stresses associated with the time-fractional diffusion equation and nonlocal constitutive equations for the stress tensor. (English) Zbl 1442.74006 Comput. Math. Appl. 78, No. 6, 1819-1825 (2019). MSC: 74A10 74F25 PDFBibTeX XMLCite \textit{Y. Povstenko}, Comput. Math. Appl. 78, No. 6, 1819--1825 (2019; Zbl 1442.74006) Full Text: DOI
Sidi Ammi, Moulay Rchid; Torres, Delfim F. M. Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives. (English) Zbl 1442.49027 Comput. Math. Appl. 78, No. 5, 1507-1516 (2019). MSC: 49K21 49J21 35R11 80A05 PDFBibTeX XMLCite \textit{M. R. Sidi Ammi} and \textit{D. F. M. Torres}, Comput. Math. Appl. 78, No. 5, 1507--1516 (2019; Zbl 1442.49027) Full Text: DOI arXiv
He, Jia Wei; Peng, Li Approximate controllability for a class of fractional stochastic wave equations. (English) Zbl 1442.93007 Comput. Math. Appl. 78, No. 5, 1463-1476 (2019). MSC: 93B05 93E03 35R11 35R60 60H15 PDFBibTeX XMLCite \textit{J. W. He} and \textit{L. Peng}, Comput. Math. Appl. 78, No. 5, 1463--1476 (2019; Zbl 1442.93007) Full Text: DOI
Tuan, Nguyen Huy; Debbouche, Amar; Ngoc, Tran Bao Existence and regularity of final value problems for time fractional wave equations. (English) Zbl 1442.35528 Comput. Math. Appl. 78, No. 5, 1396-1414 (2019). MSC: 35R11 35A01 35B65 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Comput. Math. Appl. 78, No. 5, 1396--1414 (2019; Zbl 1442.35528) Full Text: DOI
Povstenko, Yuriy; Kyrylych, Tamara Time-fractional heat conduction in an infinite plane containing an external crack under heat flux loading. (English) Zbl 1442.74060 Comput. Math. Appl. 78, No. 5, 1386-1395 (2019). MSC: 74F05 35R11 PDFBibTeX XMLCite \textit{Y. Povstenko} and \textit{T. Kyrylych}, Comput. Math. Appl. 78, No. 5, 1386--1395 (2019; Zbl 1442.74060) Full Text: DOI
Sidi Ammi, Moulay Rchid; Jamiai, Ismail; Torres, Delfim F. M. A finite element approximation for a class of Caputo time-fractional diffusion equations. (English) Zbl 1442.65274 Comput. Math. Appl. 78, No. 5, 1334-1344 (2019). MSC: 65M60 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{M. R. Sidi Ammi} et al., Comput. Math. Appl. 78, No. 5, 1334--1344 (2019; Zbl 1442.65274) Full Text: DOI arXiv
Zhang, Houchao; Yang, Xiaoxia Superconvergence analysis of nonconforming finite element method for time-fractional nonlinear parabolic equations on anisotropic meshes. (English) Zbl 1442.65285 Comput. Math. Appl. 77, No. 10, 2707-2724 (2019). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{X. Yang}, Comput. Math. Appl. 77, No. 10, 2707--2724 (2019; Zbl 1442.65285) Full Text: DOI
Ruan, Zhousheng; Zhang, Sen; Zhang, Wen Numerical solution of time-dependent component with sparse structure of source term for a time fractional diffusion equation. (English) Zbl 1442.65235 Comput. Math. Appl. 77, No. 5, 1408-1422 (2019). MSC: 65M32 65M12 PDFBibTeX XMLCite \textit{Z. Ruan} et al., Comput. Math. Appl. 77, No. 5, 1408--1422 (2019; Zbl 1442.65235) Full Text: DOI
Saha Ray, S.; Sahoo, S. Invariant analysis and conservation laws of \((2+1)\) dimensional time-fractional ZK-BBM equation in gravity water waves. (English) Zbl 1409.35226 Comput. Math. Appl. 75, No. 7, 2271-2279 (2018). MSC: 35R11 35A30 35Q53 76B15 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{S. Sahoo}, Comput. Math. Appl. 75, No. 7, 2271--2279 (2018; Zbl 1409.35226) Full Text: DOI
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
Bazhlekova, Emilia; Bazhlekov, Ivan Unidirectional flows of fractional Jeffreys’ fluids: thermodynamic constraints and subordination. (English) Zbl 1409.76009 Comput. Math. Appl. 73, No. 6, 1363-1376 (2017). MSC: 76A10 80A10 PDFBibTeX XMLCite \textit{E. Bazhlekova} and \textit{I. Bazhlekov}, Comput. Math. Appl. 73, No. 6, 1363--1376 (2017; Zbl 1409.76009) 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
Tuan, Nguyen Huy; Kirane, Mokhtar; Bin-Mohsin, Bandar; Tam, Pham Thi Minh Filter regularization for final value fractional diffusion problem with deterministic and random noise. (English) Zbl 1394.35567 Comput. Math. Appl. 74, No. 6, 1340-1361 (2017). MSC: 35R11 35R30 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Comput. Math. Appl. 74, No. 6, 1340--1361 (2017; Zbl 1394.35567) 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
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
Liu, Yikan Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem. (English) Zbl 1368.35273 Comput. Math. Appl. 73, No. 1, 96-108 (2017). MSC: 35R11 35B50 35R30 PDFBibTeX XMLCite \textit{Y. Liu}, Comput. Math. Appl. 73, No. 1, 96--108 (2017; Zbl 1368.35273) 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
Wu, Bin; Wu, Siyuan Existence and uniqueness of an inverse source problem for a fractional integrodifferential equation. (English) Zbl 1367.35196 Comput. Math. Appl. 68, No. 10, 1123-1136 (2014). MSC: 35R30 35R11 35R09 35A01 35A02 PDFBibTeX XMLCite \textit{B. Wu} and \textit{S. Wu}, Comput. Math. Appl. 68, No. 10, 1123--1136 (2014; Zbl 1367.35196) 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
Gazizov, R. K.; Kasatkin, A. A. Construction of exact solutions for fractional order differential equations by the invariant subspace method. (English) Zbl 1348.34012 Comput. Math. Appl. 66, No. 5, 576-584 (2013). MSC: 34A08 34C14 34A05 35R11 PDFBibTeX XMLCite \textit{R. K. Gazizov} and \textit{A. A. Kasatkin}, Comput. Math. Appl. 66, No. 5, 576--584 (2013; Zbl 1348.34012) Full Text: DOI
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
Povstenko, Yuriy Neumann boundary-value problems for a time-fractional diffusion-wave equation in a half-plane. (English) Zbl 1268.35125 Comput. Math. Appl. 64, No. 10, 3183-3192 (2012). MSC: 35R11 PDFBibTeX XMLCite \textit{Y. Povstenko}, Comput. Math. Appl. 64, No. 10, 3183--3192 (2012; Zbl 1268.35125) 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
Esmaeili, Shahrokh; Shamsi, M.; Luchko, Yury Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials. (English) Zbl 1228.65132 Comput. Math. Appl. 62, No. 3, 918-929 (2011). MSC: 65L70 34A08 26A33 45J05 PDFBibTeX XMLCite \textit{S. Esmaeili} et al., Comput. Math. Appl. 62, No. 3, 918--929 (2011; Zbl 1228.65132) 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
Yang, Shuiping; Xiao, Aiguo; Su, Hong Convergence of the variational iteration method for solving multi-order fractional differential equations. (English) Zbl 1207.65109 Comput. Math. Appl. 60, No. 10, 2871-2879 (2010). MSC: 65L99 34A08 26A33 45J05 PDFBibTeX XMLCite \textit{S. Yang} et al., Comput. Math. Appl. 60, No. 10, 2871--2879 (2010; Zbl 1207.65109) Full Text: DOI
Jafari, H.; Golbabai, A.; Seifi, S.; Sayevand, K. Homotopy analysis method for solving multi-term linear and nonlinear diffusion-wave equations of fractional order. (English) Zbl 1189.65250 Comput. Math. Appl. 59, No. 3, 1337-1344 (2010). MSC: 65M99 26A33 35R11 45K05 PDFBibTeX XMLCite \textit{H. Jafari} et al., Comput. Math. Appl. 59, No. 3, 1337--1344 (2010; Zbl 1189.65250) 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
Kiryakova, Virginia The special functions of fractional calculus as generalized fractional calculus operators of some basic functions. (English) Zbl 1189.26007 Comput. Math. Appl. 59, No. 3, 1128-1141 (2010). MSC: 26A33 33E12 33C99 PDFBibTeX XMLCite \textit{V. Kiryakova}, Comput. Math. Appl. 59, No. 3, 1128--1141 (2010; Zbl 1189.26007) Full Text: DOI
Kiryakova, V. The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus. (English) Zbl 1189.33034 Comput. Math. Appl. 59, No. 5, 1885-1895 (2010). MSC: 33E10 26A33 33-02 PDFBibTeX XMLCite \textit{V. Kiryakova}, Comput. Math. Appl. 59, No. 5, 1885--1895 (2010; Zbl 1189.33034) 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