Obembe, Abiola D.; Hossain, M. Enamul; Mustapha, Kassem; Abu-Khamsin, Sidqi A. A modified memory-based mathematical model describing fluid flow in porous media. (English) Zbl 1409.76141 Comput. Math. Appl. 73, No. 6, 1385-1402 (2017). MSC: 76S05 35Q35 PDFBibTeX XMLCite \textit{A. D. Obembe} et al., Comput. Math. Appl. 73, No. 6, 1385--1402 (2017; Zbl 1409.76141) Full Text: DOI
Xu, Huanying; Jiang, Xiaoyun Creep constitutive models for viscoelastic materials based on fractional derivatives. (English) Zbl 1458.74027 Comput. Math. Appl. 73, No. 6, 1377-1384 (2017). MSC: 74D99 74S40 26A33 PDFBibTeX XMLCite \textit{H. Xu} and \textit{X. Jiang}, Comput. Math. Appl. 73, No. 6, 1377--1384 (2017; Zbl 1458.74027) 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
Zhou, Yong; Zhang, Lu Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems. (English) Zbl 1409.35232 Comput. Math. Appl. 73, No. 6, 1325-1345 (2017). MSC: 35R11 35A15 35B38 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{L. Zhang}, Comput. Math. Appl. 73, No. 6, 1325--1345 (2017; Zbl 1409.35232) Full Text: DOI
Angstmann, C. N.; Henry, B. I.; Ortega-Piwonka, I. Generalized master equations and fractional Fokker-Planck equations from continuous time random walks with arbitrary initial conditions. (English) Zbl 1412.35333 Comput. Math. Appl. 73, No. 6, 1315-1324 (2017). MSC: 35Q84 82C31 82C41 PDFBibTeX XMLCite \textit{C. N. Angstmann} et al., Comput. Math. Appl. 73, No. 6, 1315--1324 (2017; Zbl 1412.35333) Full Text: DOI
Liu, Yang; Zhang, Min; Li, Hong; Li, Jichun High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation. (English) Zbl 1412.65150 Comput. Math. Appl. 73, No. 6, 1298-1314 (2017). MSC: 65M60 65M12 65M15 35R11 65M06 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 73, No. 6, 1298--1314 (2017; Zbl 1412.65150) Full Text: DOI
Song, Fangying; Zeng, Fanhai; Cai, Wei; Chen, Wen; Karniadakis, George Em Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. (English) Zbl 1412.65091 Comput. Math. Appl. 73, No. 6, 1286-1297 (2017). MSC: 65M06 65M12 35R11 35Q35 76Q05 PDFBibTeX XMLCite \textit{F. Song} et al., Comput. Math. Appl. 73, No. 6, 1286--1297 (2017; Zbl 1412.65091) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. (English) Zbl 1412.65138 Comput. Math. Appl. 73, No. 6, 1270-1285 (2017). MSC: 65M60 65M12 65M15 35R11 65M06 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 73, No. 6, 1270--1285 (2017; Zbl 1412.65138) Full Text: DOI
Moghaddam, B. P.; Machado, J. A. T. A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations. (English) Zbl 1412.65084 Comput. Math. Appl. 73, No. 6, 1262-1269 (2017). MSC: 65M06 65M12 35R11 65D07 PDFBibTeX XMLCite \textit{B. P. Moghaddam} and \textit{J. A. T. Machado}, Comput. Math. Appl. 73, No. 6, 1262--1269 (2017; Zbl 1412.65084) Full Text: DOI
Abu Arqub, Omar Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions. (English) Zbl 1412.65174 Comput. Math. Appl. 73, No. 6, 1243-1261 (2017). MSC: 65M99 35R11 35Q53 35Q84 65M12 65M15 82C31 PDFBibTeX XMLCite \textit{O. Abu Arqub}, Comput. Math. Appl. 73, No. 6, 1243--1261 (2017; Zbl 1412.65174) Full Text: DOI
Fu, Hongfei; Ng, Michael K.; Wang, Hong A divide-and-conquer fast finite difference method for space-time fractional partial differential equation. (English) Zbl 1412.65073 Comput. Math. Appl. 73, No. 6, 1233-1242 (2017). MSC: 65M06 35R11 65F10 PDFBibTeX XMLCite \textit{H. Fu} et al., Comput. Math. Appl. 73, No. 6, 1233--1242 (2017; Zbl 1412.65073) Full Text: DOI
Yang, Yin; Chen, Yanping; Huang, Yunqing; Wei, Huayi Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis. (English) Zbl 1412.65168 Comput. Math. Appl. 73, No. 6, 1218-1232 (2017). MSC: 65M70 65M12 35R11 65D05 PDFBibTeX XMLCite \textit{Y. Yang} et al., Comput. Math. Appl. 73, No. 6, 1218--1232 (2017; Zbl 1412.65168) Full Text: DOI
Aboelenen, Tarek; El-Hawary, H. M. A high-order nodal discontinuous Galerkin method for a linearized fractional Cahn-Hilliard equation. (English) Zbl 1412.65132 Comput. Math. Appl. 73, No. 6, 1197-1217 (2017). MSC: 65M60 65M12 65M15 35R11 65M06 42C10 PDFBibTeX XMLCite \textit{T. Aboelenen} and \textit{H. M. El-Hawary}, Comput. Math. Appl. 73, No. 6, 1197--1217 (2017; Zbl 1412.65132) Full Text: DOI
Wang, Jinfeng; Liu, Tianqi; Li, Hong; Liu, Yang; He, Siriguleng Second-order approximation scheme combined with \(H^1\)-Galerkin MFE method for nonlinear time fractional convection-diffusion equation. (English) Zbl 1412.65157 Comput. Math. Appl. 73, No. 6, 1182-1196 (2017). MSC: 65M60 65M12 35R11 65M15 65M06 PDFBibTeX XMLCite \textit{J. Wang} et al., Comput. Math. Appl. 73, No. 6, 1182--1196 (2017; Zbl 1412.65157) Full Text: DOI
Chen, S.; Jiang, X. Y. Parameters estimation for a new anomalous thermal diffusion model in layered media. (English) Zbl 1409.35235 Comput. Math. Appl. 73, No. 6, 1172-1181 (2017). MSC: 35R30 35R11 35Q79 PDFBibTeX XMLCite \textit{S. Chen} and \textit{X. Y. Jiang}, Comput. Math. Appl. 73, No. 6, 1172--1181 (2017; Zbl 1409.35235) Full Text: DOI
Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J. A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. (English) Zbl 1412.65072 Comput. Math. Appl. 73, No. 6, 1155-1171 (2017). MSC: 65M06 65M12 35R11 65F10 PDFBibTeX XMLCite \textit{L. B. Feng} et al., Comput. Math. Appl. 73, No. 6, 1155--1171 (2017; Zbl 1412.65072) Full Text: DOI
Abdel-Rehim, E. A.; El-Sayed, A. M. A.; Hashem, A. S. Simulation of the approximate solutions of the time-fractional multi-term wave equations. (English) Zbl 1409.35207 Comput. Math. Appl. 73, No. 6, 1134-1154 (2017). MSC: 35R11 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim} et al., Comput. Math. Appl. 73, No. 6, 1134--1154 (2017; Zbl 1409.35207) Full Text: DOI
Saha Ray, S.; Gupta, A. K. Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation. (English) Zbl 1412.65166 Comput. Math. Appl. 73, No. 6, 1118-1133 (2017). MSC: 65M70 65T60 35Q53 35R11 65M99 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{A. K. Gupta}, Comput. Math. Appl. 73, No. 6, 1118--1133 (2017; Zbl 1412.65166) Full Text: DOI
Bhrawy, A. H.; Zaky, M. A. Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. (English) Zbl 1412.65162 Comput. Math. Appl. 73, No. 6, 1100-1117 (2017). MSC: 65M70 65M12 35R11 35Q55 65L06 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Comput. Math. Appl. 73, No. 6, 1100--1117 (2017; Zbl 1412.65162) Full Text: DOI
Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V. Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. (English) Zbl 1412.65159 Comput. Math. Appl. 73, No. 6, 1087-1099 (2017). MSC: 65M60 65M12 35R11 65D05 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Comput. Math. Appl. 73, No. 6, 1087--1099 (2017; Zbl 1412.65159) Full Text: DOI Link
Sidi Ammi, Moulay Rchid; Torres, Delfim F. M. Galerkin spectral method for the fractional nonlocal thermistor problem. (English) Zbl 1412.65167 Comput. Math. Appl. 73, No. 6, 1077-1086 (2017). MSC: 65M70 65M60 65M15 35R11 65M06 PDFBibTeX XMLCite \textit{M. R. Sidi Ammi} and \textit{D. F. M. Torres}, Comput. Math. Appl. 73, No. 6, 1077--1086 (2017; Zbl 1412.65167) Full Text: DOI arXiv Link
Deng, W. H.; Zhang, Z. J. Numerical schemes of the time tempered fractional Feynman-Kac equation. (English) Zbl 1412.65071 Comput. Math. Appl. 73, No. 6, 1063-1076 (2017). MSC: 65M06 65M12 35R11 35Q84 65M60 82C31 PDFBibTeX XMLCite \textit{W. H. Deng} and \textit{Z. J. Zhang}, Comput. Math. Appl. 73, No. 6, 1063--1076 (2017; Zbl 1412.65071) Full Text: DOI arXiv
Angstmann, C. N.; Henry, B. I.; Jacobs, Byron A.; McGann, A. V. Integrablization of time fractional PDEs. (English) Zbl 1412.65064 Comput. Math. Appl. 73, No. 6, 1053-1062 (2017). MSC: 65M06 65M70 65M99 35R11 26A33 44A10 PDFBibTeX XMLCite \textit{C. N. Angstmann} et al., Comput. Math. Appl. 73, No. 6, 1053--1062 (2017; Zbl 1412.65064) 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
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
Zhou, Yong; Peng, Li Weak solutions of the time-fractional Navier-Stokes equations and optimal control. (English) Zbl 1412.35233 Comput. Math. Appl. 73, No. 6, 1016-1027 (2017). MSC: 35Q30 35D30 76D05 35R11 76D55 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{L. Peng}, Comput. Math. Appl. 73, No. 6, 1016--1027 (2017; Zbl 1412.35233) Full Text: DOI
Furati, Khaled M.; Iyiola, Olaniyi S.; Mustapha, Kassem An inverse source problem for a two-parameter anomalous diffusion with local time datum. (English) Zbl 1409.35214 Comput. Math. Appl. 73, No. 6, 1008-1015 (2017). MSC: 35R11 35R30 PDFBibTeX XMLCite \textit{K. M. Furati} et al., Comput. Math. Appl. 73, No. 6, 1008--1015 (2017; Zbl 1409.35214) Full Text: DOI arXiv
Hosseini, S. M.; Asgari, Zohreh Solution of stochastic nonlinear time fractional PDEs using polynomial chaos expansion combined with an exponential integrator. (English) Zbl 1412.65170 Comput. Math. Appl. 73, No. 6, 997-1007 (2017). MSC: 65M75 35R11 65M70 42A38 65M12 65L04 65L06 35Q53 PDFBibTeX XMLCite \textit{S. M. Hosseini} and \textit{Z. Asgari}, Comput. Math. Appl. 73, No. 6, 997--1007 (2017; Zbl 1412.65170) Full Text: DOI
Mu, Jia; Ahmad, Bashir; Huang, Shuibo Existence and regularity of solutions to time-fractional diffusion equations. (English) Zbl 1409.35223 Comput. Math. Appl. 73, No. 6, 985-996 (2017). MSC: 35R11 35A01 35B65 PDFBibTeX XMLCite \textit{J. Mu} et al., Comput. Math. Appl. 73, No. 6, 985--996 (2017; Zbl 1409.35223) Full Text: DOI
Rossikhin, Yu. A.; Shitikova, M. V.; Popov, I. I. Dynamic response of a viscoelastic beam impacted by a viscoelastic sphere. (English) Zbl 1409.74024 Comput. Math. Appl. 73, No. 6, 970-984 (2017). MSC: 74K10 74D05 PDFBibTeX XMLCite \textit{Yu. A. Rossikhin} et al., Comput. Math. Appl. 73, No. 6, 970--984 (2017; Zbl 1409.74024) Full Text: DOI
Aleroev, Temirkhan S.; Aleroeva, Hedi T.; Huang, Jianfei; Tamm, Mikhail V.; Tang, Yifa; Zhao, Yue Boundary value problems of fractional Fokker-Planck equations. (English) Zbl 1409.35209 Comput. Math. Appl. 73, No. 6, 959-969 (2017). MSC: 35R11 35Q84 PDFBibTeX XMLCite \textit{T. S. Aleroev} et al., Comput. Math. Appl. 73, No. 6, 959--969 (2017; Zbl 1409.35209) Full Text: DOI
Alsaedi, Ahmed; Kirane, Mokhtar; Lassoued, Rafika Global existence and asymptotic behavior for a time fractional reaction-diffusion system. (English) Zbl 1409.35210 Comput. Math. Appl. 73, No. 6, 951-958 (2017). MSC: 35R11 35K57 35A01 35B40 PDFBibTeX XMLCite \textit{A. Alsaedi} et al., Comput. Math. Appl. 73, No. 6, 951--958 (2017; Zbl 1409.35210) Full Text: DOI
Tuan, Nguyen Huy; Kirane, Mokhtar; Hoan, Luu Vu Cam; Long, Le Dinh Identification and regularization for unknown source for a time-fractional diffusion equation. (English) Zbl 1409.35230 Comput. Math. Appl. 73, No. 6, 931-950 (2017). MSC: 35R11 35R30 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Comput. Math. Appl. 73, No. 6, 931--950 (2017; Zbl 1409.35230) Full Text: DOI
Iomin, A. Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder. (English) Zbl 1412.35308 Comput. Math. Appl. 73, No. 6, 914-930 (2017). MSC: 35Q55 35J10 81Q05 35R11 35Q84 82C31 82C41 81Q10 PDFBibTeX XMLCite \textit{A. Iomin}, Comput. Math. Appl. 73, No. 6, 914--930 (2017; Zbl 1412.35308) Full Text: DOI arXiv
Carcione, José M.; Mainardi, Francesco On the relation between sources and initial conditions for the wave and diffusion equations. (English) Zbl 1409.35130 Comput. Math. Appl. 73, No. 6, 906-913 (2017). MSC: 35L15 35R11 PDFBibTeX XMLCite \textit{J. M. Carcione} and \textit{F. Mainardi}, Comput. Math. Appl. 73, No. 6, 906--913 (2017; Zbl 1409.35130) Full Text: DOI
Alrawashdeh, Mahmoud S.; Kelly, James F.; Meerschaert, Mark M.; Scheffler, Hans-Peter Applications of inverse tempered stable subordinators. (English) Zbl 1409.60058 Comput. Math. Appl. 73, No. 6, 892-905 (2017). MSC: 60G22 60G55 35R11 PDFBibTeX XMLCite \textit{M. S. Alrawashdeh} et al., Comput. Math. Appl. 73, No. 6, 892--905 (2017; Zbl 1409.60058) Full Text: DOI
Zhou, Yong; Peng, Li On the time-fractional Navier-Stokes equations. (English) Zbl 1409.76027 Comput. Math. Appl. 73, No. 6, 874-891 (2017). MSC: 76D05 35Q30 35R11 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{L. Peng}, Comput. Math. Appl. 73, No. 6, 874--891 (2017; Zbl 1409.76027) Full Text: DOI
Zhou, Yong (ed.); Feckan, Michal (ed.); Liu, Fawang (ed.); Machado, J. A. Tenreiro (ed.) Editorial: Advances in fractional differential equations. IV: Time-fractional PDEs. (English) Zbl 1409.00116 Comput. Math. Appl. 73, No. 6, 873 (2017). MSC: 00B15 35-06 65-06 PDFBibTeX XMLCite \textit{Y. Zhou} (ed.) et al., Comput. Math. Appl. 73, No. 6, 873 (2017; Zbl 1409.00116) Full Text: DOI