Tawfik, Ashraf M.; Abdelhamid, Hamdi M. Generalized fractional diffusion equation with arbitrary time varying diffusivity. (English) Zbl 1510.35152 Appl. Math. Comput. 410, Article ID 126449, 10 p. (2021). MSC: 35K57 35R11 PDFBibTeX XMLCite \textit{A. M. Tawfik} and \textit{H. M. Abdelhamid}, Appl. Math. Comput. 410, Article ID 126449, 10 p. (2021; Zbl 1510.35152) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Ostermann, Alexander; Gu, Xian-Ming; Zhao, Yong-Liang Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods. (English) Zbl 1510.65196 Appl. Math. Comput. 408, Article ID 126360, 17 p. (2021). MSC: 65M06 35K57 35R11 65M22 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Appl. Math. Comput. 408, Article ID 126360, 17 p. (2021; Zbl 1510.65196) Full Text: DOI
Qu, Haidong; She, Zihang; Liu, Xuan Neural network method for solving fractional diffusion equations. (English) Zbl 1470.65182 Appl. Math. Comput. 391, Article ID 125635, 25 p. (2021). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{H. Qu} et al., Appl. Math. Comput. 391, Article ID 125635, 25 p. (2021; Zbl 1470.65182) Full Text: DOI
Lopushansky, Andriy; Lopushansky, Oleh; Sharyn, Sergii Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation. (English) Zbl 1474.49082 Appl. Math. Comput. 390, Article ID 125589, 9 p. (2021). MSC: 49N45 35C05 35R11 35R30 49M41 PDFBibTeX XMLCite \textit{A. Lopushansky} et al., Appl. Math. Comput. 390, Article ID 125589, 9 p. (2021; Zbl 1474.49082) Full Text: DOI
Nandal, Sarita; Pandey, Dwijendra Narain Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay. (English) Zbl 1433.65163 Appl. Math. Comput. 369, Article ID 124900, 14 p. (2020). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{S. Nandal} and \textit{D. N. Pandey}, Appl. Math. Comput. 369, Article ID 124900, 14 p. (2020; Zbl 1433.65163) Full Text: DOI
Cai, Ruiyang; Ge, Fudong; Chen, YangQuan; Kou, Chunhai Regional observability for Hadamard-Caputo time fractional distributed parameter systems. (English) Zbl 1428.34011 Appl. Math. Comput. 360, 190-202 (2019). MSC: 34A08 93B07 93C20 PDFBibTeX XMLCite \textit{R. Cai} et al., Appl. Math. Comput. 360, 190--202 (2019; Zbl 1428.34011) Full Text: DOI
Zahra, W. K.; Nasr, M. A.; Van Daele, M. Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation. (English) Zbl 1429.65206 Appl. Math. Comput. 358, 468-490 (2019). MSC: 65M06 65M12 35R11 35K57 PDFBibTeX XMLCite \textit{W. K. Zahra} et al., Appl. Math. Comput. 358, 468--490 (2019; Zbl 1429.65206) Full Text: DOI
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Nguyen, Dang Minh Optimal regularization for an unknown source of space-fractional diffusion equation. (English) Zbl 1429.65221 Appl. Math. Comput. 349, 184-206 (2019). MSC: 65M32 35R11 47A52 PDFBibTeX XMLCite \textit{D. D. Trong} et al., Appl. Math. Comput. 349, 184--206 (2019; Zbl 1429.65221) Full Text: DOI
Lenzi, E. K.; de Castro, A. S. M.; Mendes, R. S. Time dependent solutions for fractional coupled Schrödinger equations. (English) Zbl 1428.35664 Appl. Math. Comput. 346, 622-632 (2019). MSC: 35R11 35Q41 81Q05 PDFBibTeX XMLCite \textit{E. K. Lenzi} et al., Appl. Math. Comput. 346, 622--632 (2019; Zbl 1428.35664) Full Text: DOI
Padgett, Joshua L.; Sheng, Qin Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach. (English) Zbl 1428.60098 Appl. Math. Comput. 325, 210-226 (2018). MSC: 60H35 35R60 35K57 35K65 65M20 65C30 PDFBibTeX XMLCite \textit{J. L. Padgett} and \textit{Q. Sheng}, Appl. Math. Comput. 325, 210--226 (2018; Zbl 1428.60098) Full Text: DOI arXiv
Yang, Dan; Wang, JinRong; O’Regan, D. A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order. (English) Zbl 1426.34021 Appl. Math. Comput. 321, 654-671 (2018). MSC: 34A08 34A37 34G20 PDFBibTeX XMLCite \textit{D. Yang} et al., Appl. Math. Comput. 321, 654--671 (2018; Zbl 1426.34021) Full Text: DOI
Abrarov, Sanjar M.; Quine, Brendan M. A rational approximation of the Dawson’s integral for efficient computation of the complex error function. (English) Zbl 1426.65031 Appl. Math. Comput. 321, 526-543 (2018). MSC: 65D20 33B15 33B20 PDFBibTeX XMLCite \textit{S. M. Abrarov} and \textit{B. M. Quine}, Appl. Math. Comput. 321, 526--543 (2018; Zbl 1426.65031) Full Text: DOI arXiv
Darwish, Mohamed Abdalla On Erdélyi-Kober fractional Urysohn-Volterra quadratic integral equations. (English) Zbl 1410.45007 Appl. Math. Comput. 273, 562-569 (2016). MSC: 45G10 45M05 47H09 PDFBibTeX XMLCite \textit{M. A. Darwish}, Appl. Math. Comput. 273, 562--569 (2016; Zbl 1410.45007) Full Text: DOI
Wang, JinRong; Zhang, Yuruo Nonlocal initial value problems for differential equations with Hilfer fractional derivative. (English) Zbl 1410.34032 Appl. Math. Comput. 266, 850-859 (2015). MSC: 34A08 34B10 45G05 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Zhang}, Appl. Math. Comput. 266, 850--859 (2015; Zbl 1410.34032) Full Text: DOI
Žecová, Monika; Terpák, Ján Heat conduction modeling by using fractional-order derivatives. (English) Zbl 1338.80012 Appl. Math. Comput. 257, 365-373 (2015). MSC: 80A20 35R11 PDFBibTeX XMLCite \textit{M. Žecová} and \textit{J. Terpák}, Appl. Math. Comput. 257, 365--373 (2015; Zbl 1338.80012) Full Text: DOI
Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. (English) Zbl 1338.35471 Appl. Math. Comput. 257, 381-397 (2015). MSC: 35R11 PDFBibTeX XMLCite \textit{Z. Li} et al., Appl. Math. Comput. 257, 381--397 (2015; Zbl 1338.35471) Full Text: DOI arXiv
Mophou, G.; Tao, S.; Joseph, C. Initial value/boundary value problem for composite fractional relaxation equation. (English) Zbl 1338.35475 Appl. Math. Comput. 257, 134-144 (2015). MSC: 35R11 PDFBibTeX XMLCite \textit{G. Mophou} et al., Appl. Math. Comput. 257, 134--144 (2015; Zbl 1338.35475) Full Text: DOI
Bu, Weiping; Tang, Yifa; Wu, Yingchuan; Yang, Jiye Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model. (English) Zbl 1339.65170 Appl. Math. Comput. 257, 355-364 (2015). MSC: 65M60 65M12 92C20 PDFBibTeX XMLCite \textit{W. Bu} et al., Appl. Math. Comput. 257, 355--364 (2015; Zbl 1339.65170) Full Text: DOI
Al-Zhour, Zeyad Abdel Aziz RETRACTED: The general (vector) solutions of such linear (coupled) matrix fractional differential equations by using Kronecker structures. (English) Zbl 1410.34012 Appl. Math. Comput. 232, 498-510 (2014); retraction notice ibid 361, 889 (2019). MSC: 34A08 PDFBibTeX XMLCite \textit{Z. A. A. Al-Zhour}, Appl. Math. Comput. 232, 498--510 (2014; Zbl 1410.34012) Full Text: DOI
Garra, Roberto; Gorenflo, Rudolf; Polito, Federico; Tomovski, Živorad Hilfer-Prabhakar derivatives and some applications. (English) Zbl 1334.26008 Appl. Math. Comput. 242, 576-589 (2014). MSC: 26A33 PDFBibTeX XMLCite \textit{R. Garra} et al., Appl. Math. Comput. 242, 576--589 (2014; Zbl 1334.26008) Full Text: DOI arXiv
Martins, J.; Ribeiro, H. V.; Evangelista, L. R.; da Silva, L. R.; Lenzi, E. K. Fractional Schrödinger equation with noninteger dimensions. (English) Zbl 1297.26017 Appl. Math. Comput. 219, No. 4, 2313-2319 (2012). MSC: 26A33 35R11 PDFBibTeX XMLCite \textit{J. Martins} et al., Appl. Math. Comput. 219, No. 4, 2313--2319 (2012; Zbl 1297.26017) Full Text: DOI
Chen, J.; Liu, Fawang; Anh, V.; Shen, S.; Liu, Q.; Liao, C. The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. (English) Zbl 1290.35306 Appl. Math. Comput. 219, No. 4, 1737-1748 (2012). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Math. Comput. 219, No. 4, 1737--1748 (2012; Zbl 1290.35306) Full Text: DOI Link
Tomovski, Živorad; Sandev, Trifce Fractional wave equation with a frictional memory kernel of Mittag-Leffler type. (English) Zbl 1246.35204 Appl. Math. Comput. 218, No. 20, 10022-10031 (2012). MSC: 35R11 74H45 74K05 33E15 PDFBibTeX XMLCite \textit{Ž. Tomovski} and \textit{T. Sandev}, Appl. Math. Comput. 218, No. 20, 10022--10031 (2012; Zbl 1246.35204) Full Text: DOI
Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru Higher order fractional variational optimal control problems with delayed arguments. (English) Zbl 1244.49028 Appl. Math. Comput. 218, No. 18, 9234-9240 (2012). MSC: 49J99 26A33 PDFBibTeX XMLCite \textit{F. Jarad} et al., Appl. Math. Comput. 218, No. 18, 9234--9240 (2012; Zbl 1244.49028) Full Text: DOI arXiv
Saxena, Ram K.; Pogány, Tibor K. On fractional integration formulae for Aleph functions. (English) Zbl 1242.33021 Appl. Math. Comput. 218, No. 3, 985-990 (2011). MSC: 33C60 26A33 PDFBibTeX XMLCite \textit{R. K. Saxena} and \textit{T. K. Pogány}, Appl. Math. Comput. 218, No. 3, 985--990 (2011; Zbl 1242.33021) Full Text: DOI
Zheng, G. H.; Wei, T. Spectral regularization method for solving a time-fractional inverse diffusion problem. (English) Zbl 1228.65187 Appl. Math. Comput. 218, No. 2, 396-405 (2011). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M32 65M70 65M30 35R11 35R25 35R30 35K20 PDFBibTeX XMLCite \textit{G. H. Zheng} and \textit{T. Wei}, Appl. Math. Comput. 218, No. 2, 396--405 (2011; Zbl 1228.65187) Full Text: DOI
Mophou, Gisèle M. Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations. (English) Zbl 1221.34015 Appl. Math. Comput. 217, No. 19, 7579-7587 (2011). Reviewer: Gaston M. N’Guerekata (Baltimore) MSC: 34A08 34G20 43A60 35R11 PDFBibTeX XMLCite \textit{G. M. Mophou}, Appl. Math. Comput. 217, No. 19, 7579--7587 (2011; Zbl 1221.34015) Full Text: DOI
Amairi, M.; Aoun, M.; Najar, S.; Abdelkrim, M. N. A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation. (English) Zbl 1250.34006 Appl. Math. Comput. 217, No. 5, 2162-2168 (2010). MSC: 34A08 34A12 65L05 PDFBibTeX XMLCite \textit{M. Amairi} et al., Appl. Math. Comput. 217, No. 5, 2162--2168 (2010; Zbl 1250.34006) Full Text: DOI
Ilic, M.; Turner, I. W.; Liu, Fawang; Anh, V. Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. (English) Zbl 1193.65168 Appl. Math. Comput. 216, No. 8, 2248-2262 (2010). MSC: 65M55 35K20 65M70 35R11 PDFBibTeX XMLCite \textit{M. Ilic} et al., Appl. Math. Comput. 216, No. 8, 2248--2262 (2010; Zbl 1193.65168) Full Text: DOI
Wu, Chunhong; Lu, Linzhang Implicit numerical approximation scheme for the fractional Fokker-Planck equation. (English) Zbl 1196.82101 Appl. Math. Comput. 216, No. 7, 1945-1955 (2010). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 82C80 PDFBibTeX XMLCite \textit{C. Wu} and \textit{L. Lu}, Appl. Math. Comput. 216, No. 7, 1945--1955 (2010; Zbl 1196.82101) Full Text: DOI
Abdel-Gawad, H. I. Approximate solutions of nonlinear fractional equations. (English) Zbl 1247.65132 Appl. Math. Comput. 215, No. 12, 4094-4100 (2010). Reviewer: Raytcho D. Lazarov (College Station) MSC: 65M70 PDFBibTeX XMLCite \textit{H. I. Abdel-Gawad}, Appl. Math. Comput. 215, No. 12, 4094--4100 (2010; Zbl 1247.65132) Full Text: DOI
Su, Ninghu \(N\)-dimensional fractional Fokker-Planck equation and its solutions for anomalous radial two-phase flow in porous media. (English) Zbl 1166.76053 Appl. Math. Comput. 213, No. 2, 506-515 (2009). MSC: 76S05 76T10 26A33 PDFBibTeX XMLCite \textit{N. Su}, Appl. Math. Comput. 213, No. 2, 506--515 (2009; Zbl 1166.76053) Full Text: DOI
Ray, Santanu Saha A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends. (English) Zbl 1147.65107 Appl. Math. Comput. 202, No. 2, 544-549 (2008). MSC: 65R20 45K05 35K05 65M70 26A33 PDFBibTeX XMLCite \textit{S. S. Ray}, Appl. Math. Comput. 202, No. 2, 544--549 (2008; Zbl 1147.65107) Full Text: DOI
Ray, S. Saha; Chaudhuri, K. S.; Bera, R. K. Application of modified decomposition method for the analytical solution of space fractional diffusion equation. (English) Zbl 1133.65119 Appl. Math. Comput. 196, No. 1, 294-302 (2008). MSC: 65R20 26A33 45K05 35K15 65M70 PDFBibTeX XMLCite \textit{S. S. Ray} et al., Appl. Math. Comput. 196, No. 1, 294--302 (2008; Zbl 1133.65119) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf Some aspects of fractional diffusion equations of single and distributed order. (English) Zbl 1122.26004 Appl. Math. Comput. 187, No. 1, 295-305 (2007). Reviewer: K. C. Gupta (Jaipur) MSC: 26A33 45K05 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Appl. Math. Comput. 187, No. 1, 295--305 (2007; Zbl 1122.26004) Full Text: DOI arXiv
Odibat, Zaid M.; Momani, Shaher Approximate solutions for boundary value problems of time-fractional wave equation. (English) Zbl 1148.65100 Appl. Math. Comput. 181, No. 1, 767-774 (2006). MSC: 65R20 45K05 65M70 26A33 35L05 PDFBibTeX XMLCite \textit{Z. M. Odibat} and \textit{S. Momani}, Appl. Math. Comput. 181, No. 1, 767--774 (2006; Zbl 1148.65100) Full Text: DOI
Odibat, Zaid M. A reliable modification of the rectangular decomposition method. (English) Zbl 1109.65118 Appl. Math. Comput. 183, No. 2, 1226-1234 (2006). MSC: 65R20 45K05 26A33 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Appl. Math. Comput. 183, No. 2, 1226--1234 (2006; Zbl 1109.65118) Full Text: DOI
Saxena, R. K.; Kalla, S. L. On a unified mixture distribution. (English) Zbl 1106.60016 Appl. Math. Comput. 182, No. 1, 325-332 (2006). MSC: 60E05 PDFBibTeX XMLCite \textit{R. K. Saxena} and \textit{S. L. Kalla}, Appl. Math. Comput. 182, No. 1, 325--332 (2006; Zbl 1106.60016) Full Text: DOI
Odibat, Zaid M. Rectangular decomposition method for fractional diffusion-wave equations. (English) Zbl 1100.65125 Appl. Math. Comput. 179, No. 1, 92-97 (2006). MSC: 65R20 45K05 26A33 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Appl. Math. Comput. 179, No. 1, 92--97 (2006; Zbl 1100.65125) Full Text: DOI
Saha Ray, S.; Bera, R. K. Analytical solution of a fractional diffusion equation by Adomian decomposition method. (English) Zbl 1089.65108 Appl. Math. Comput. 174, No. 1, 329-336 (2006). MSC: 65M70 26A33 35K55 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{R. K. Bera}, Appl. Math. Comput. 174, No. 1, 329--336 (2006; Zbl 1089.65108) Full Text: DOI
Anh, V. V.; Leonenko, N. N. Harmonic analysis of random fractional diffusion-wave equations. (English) Zbl 1053.60064 Appl. Math. Comput. 141, No. 1, 77-85 (2003). Reviewer: Ismail Taqi Ali (Safat) MSC: 60H15 35C15 26A33 35R10 PDFBibTeX XMLCite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Appl. Math. Comput. 141, No. 1, 77--85 (2003; Zbl 1053.60064) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni The Wright functions as solutions of the time-fractional diffusion equation. (English) Zbl 1053.35008 Appl. Math. Comput. 141, No. 1, 51-62 (2003). Reviewer: Ismail Taqi Ali (Safat) MSC: 35A22 26A33 35S10 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, Appl. Math. Comput. 141, No. 1, 51--62 (2003; Zbl 1053.35008) Full Text: DOI