Biranvand, Nader; Ebrahimijahan, Ali Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation. (English) Zbl 07803460 Comput. Appl. Math. 43, No. 1, Paper No. 52, 26 p. (2024). MSC: 34K37 65L80 PDFBibTeX XMLCite \textit{N. Biranvand} and \textit{A. Ebrahimijahan}, Comput. Appl. Math. 43, No. 1, Paper No. 52, 26 p. (2024; Zbl 07803460) Full Text: DOI
Pskhu, Arsen Transmutation operators intertwining first-order and distributed-order derivatives. (English) Zbl 07785683 Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 93, 17 p. (2023). MSC: 35R11 26A33 34A08 34A25 PDFBibTeX XMLCite \textit{A. Pskhu}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 93, 17 p. (2023; Zbl 07785683) Full Text: DOI
Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. (English) Zbl 07776962 Numer. Methods Partial Differ. Equations 39, No. 2, 1266-1286 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1266--1286 (2023; Zbl 07776962) Full Text: DOI
Awad, Emad; Metzler, Ralf Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers. II: Accelerating case. (English) Zbl 1506.35259 J. Phys. A, Math. Theor. 55, No. 20, Article ID 205003, 29 p. (2022). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} and \textit{R. Metzler}, J. Phys. A, Math. Theor. 55, No. 20, Article ID 205003, 29 p. (2022; Zbl 1506.35259) Full Text: DOI
Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. (English) Zbl 1497.65204 Fractals 30, No. 5, Article ID 2240155, 21 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M99 26A33 35R11 42C10 41A58 76R50 PDFBibTeX XMLCite \textit{V. R. Hosseini} et al., Fractals 30, No. 5, Article ID 2240155, 21 p. (2022; Zbl 1497.65204) Full Text: DOI
Gao, Xinghua; Li, Hong; Liu, Yan Error estimation of finite element solution for a distributed-order diffusion-wave equation. (Chinese. English summary) Zbl 1513.65026 Math. Numer. Sin. 43, No. 4, 493-505 (2021). MSC: 65D17 65M12 65M60 PDFBibTeX XMLCite \textit{X. Gao} et al., Math. Numer. Sin. 43, No. 4, 493--505 (2021; Zbl 1513.65026) Full Text: DOI
Awad, Emad; Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. (English) Zbl 1506.35260 Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} et al., Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021; Zbl 1506.35260) Full Text: DOI
Guo, Feng; Wang, Xue-yuan; Qin, Ming-wei; Luo, Xiang-dong; Wang, Jian-wei Resonance phenomenon for a nonlinear system with fractional derivative subject to multiplicative and additive noise. (English) Zbl 07542614 Physica A 562, Article ID 125243, 9 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{F. Guo} et al., Physica A 562, Article ID 125243, 9 p. (2021; Zbl 07542614) Full Text: DOI
Ramezani, Mohammad Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline. (English) Zbl 07486479 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Ramezani}, Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021; Zbl 07486479) Full Text: DOI
Pourbabaee, Marzieh; Saadatmandi, Abbas The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications. (English) Zbl 1491.65113 Int. J. Comput. Math. 98, No. 11, 2310-2329 (2021). MSC: 65M70 65D32 65M15 41A50 26A33 35R11 PDFBibTeX XMLCite \textit{M. Pourbabaee} and \textit{A. Saadatmandi}, Int. J. Comput. Math. 98, No. 11, 2310--2329 (2021; Zbl 1491.65113) Full Text: DOI
Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. (English) Zbl 07465789 Math. Comput. Sci. 15, No. 4, 535-551 (2021). MSC: 45K05 65L20 65M12 65R20 PDFBibTeX XMLCite \textit{L. L. Ferrás} et al., Math. Comput. Sci. 15, No. 4, 535--551 (2021; Zbl 07465789) Full Text: DOI Link
Jia, Jinhong; Zheng, Xiangcheng; Wang, Hong Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation. (English) Zbl 1498.65171 Fract. Calc. Appl. Anal. 24, No. 5, 1477-1506 (2021). MSC: 65M70 35R11 65R20 PDFBibTeX XMLCite \textit{J. Jia} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1477--1506 (2021; Zbl 1498.65171) Full Text: DOI
Yang, Fan; Fu, Jun-Liang; Fan, Ping; Li, Xiao-Xiao Fractional Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion problem. (English) Zbl 1476.35339 Acta Appl. Math. 175, Paper No. 13, 19 p. (2021). MSC: 35R30 35R11 35R25 47A52 PDFBibTeX XMLCite \textit{F. Yang} et al., Acta Appl. Math. 175, Paper No. 13, 19 p. (2021; Zbl 1476.35339) Full Text: DOI
Wen, Cao; Liu, Yang; Yin, Baoli; Li, Hong; Wang, Jinfeng Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model. (English) Zbl 1483.65161 Numer. Algorithms 88, No. 2, 523-553 (2021). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65M60 35R11 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{C. Wen} et al., Numer. Algorithms 88, No. 2, 523--553 (2021; Zbl 1483.65161) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. (English) Zbl 1486.65157 Appl. Numer. Math. 169, 44-63 (2021). MSC: 65M60 65M06 65N30 65M75 65M12 26A33 35R11 35R07 35R10 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 169, 44--63 (2021; Zbl 1486.65157) Full Text: DOI
Roumaissa, Sassane; Nadjib, Boussetila; Faouzia, Rebbani; Abderafik, Benrabah Iterative regularization method for an abstract ill-posed generalized elliptic equation. (English) Zbl 1469.35239 Asian-Eur. J. Math. 14, No. 5, Article ID 2150069, 22 p. (2021). MSC: 35R25 35R30 35J15 65F22 26A33 PDFBibTeX XMLCite \textit{S. Roumaissa} et al., Asian-Eur. J. Math. 14, No. 5, Article ID 2150069, 22 p. (2021; Zbl 1469.35239) 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
Rahaman, Mostafijur; Mondal, Sankar Prasad; Shaikh, Ali Akbar; Pramanik, Prasenjit; Roy, Samarjit; Maiti, Manas Kumar; Mondal, Rituparna; De, Debashis Artificial bee colony optimization-inspired synergetic study of fractional-order economic production quantity model. (English) Zbl 1491.90011 Soft Comput. 24, No. 20, 15341-15359 (2020). MSC: 90B05 90C59 34A08 PDFBibTeX XMLCite \textit{M. Rahaman} et al., Soft Comput. 24, No. 20, 15341--15359 (2020; Zbl 1491.90011) Full Text: DOI
Rahaman, Mostafijur; Mondal, Sankar Prasad; Shaikh, Ali Akbar; Ahmadian, Ali; Senu, Norazak; Salahshour, Soheil Arbitrary-order economic production quantity model with and without deterioration: generalized point of view. (English) Zbl 1487.90041 Adv. Difference Equ. 2020, Paper No. 16, 30 p. (2020). MSC: 90B05 91B38 26A33 34A08 PDFBibTeX XMLCite \textit{M. Rahaman} et al., Adv. Difference Equ. 2020, Paper No. 16, 30 p. (2020; Zbl 1487.90041) Full Text: DOI
Fei, Mingfa; Huang, Chengming Galerkin-Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation. (English) Zbl 1483.65164 Int. J. Comput. Math. 97, No. 6, 1183-1196 (2020). MSC: 65M70 35R11 65M12 PDFBibTeX XMLCite \textit{M. Fei} and \textit{C. Huang}, Int. J. Comput. Math. 97, No. 6, 1183--1196 (2020; Zbl 1483.65164) Full Text: DOI
Shi, Ziyue; Qi, Wei; Fan, Jing A new class of travelling wave solutions for local fractional diffusion differential equations. (English) Zbl 1482.35256 Adv. Difference Equ. 2020, Paper No. 94, 15 p. (2020). MSC: 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{Z. Shi} et al., Adv. Difference Equ. 2020, Paper No. 94, 15 p. (2020; Zbl 1482.35256) 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
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong A variably distributed-order time-fractional diffusion equation: analysis and approximation. (English) Zbl 1442.76074 Comput. Methods Appl. Mech. Eng. 367, Article ID 113118, 15 p. (2020). MSC: 76M10 65M60 35R11 65M15 74F10 76S05 PDFBibTeX XMLCite \textit{Z. Yang} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113118, 15 p. (2020; Zbl 1442.76074) Full Text: DOI
Awad, Emad; Metzler, Ralf Crossover dynamics from superdiffusion to subdiffusion: models and solutions. (English) Zbl 1439.35519 Fract. Calc. Appl. Anal. 23, No. 1, 55-102 (2020). MSC: 35R11 35K57 33E12 PDFBibTeX XMLCite \textit{E. Awad} and \textit{R. Metzler}, Fract. Calc. Appl. Anal. 23, No. 1, 55--102 (2020; Zbl 1439.35519) Full Text: DOI
Bu, Weiping; Ji, Lun; Tang, Yifa; Zhou, Jie Space-time finite element method for the distributed-order time fractional reaction diffusion equations. (English) Zbl 1434.65177 Appl. Numer. Math. 152, 446-465 (2020). Reviewer: Hu Chen (Beijing) MSC: 65M60 65M12 35R11 65D32 PDFBibTeX XMLCite \textit{W. Bu} et al., Appl. Numer. Math. 152, 446--465 (2020; Zbl 1434.65177) Full Text: DOI
Singh, Harendra; Srivastava, H. M. Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients. (English) Zbl 07563443 Physica A 523, 1130-1149 (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{H. Singh} and \textit{H. M. Srivastava}, Physica A 523, 1130--1149 (2019; Zbl 07563443) Full Text: DOI
Awad, Emad On the time-fractional Cattaneo equation of distributed order. (English) Zbl 1514.35454 Physica A 518, 210-233 (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{E. Awad}, Physica A 518, 210--233 (2019; Zbl 1514.35454) Full Text: DOI
Li, Xiaoli; Rui, Hongxing A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition. (English) Zbl 1499.65411 Int. J. Comput. Math. 96, No. 3, 622-639 (2019). MSC: 65M06 65N06 65M12 65M15 26A33 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Int. J. Comput. Math. 96, No. 3, 622--639 (2019; Zbl 1499.65411) Full Text: DOI
Capitanelli, Raffaela; D’Ovidio, Mirko Fractional equations via convergence of forms. (English) Zbl 1476.60106 Fract. Calc. Appl. Anal. 22, No. 4, 844-870 (2019). Reviewer: Erika Hausenblas (Leoben) MSC: 60H20 60B10 60H30 31C25 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{M. D'Ovidio}, Fract. Calc. Appl. Anal. 22, No. 4, 844--870 (2019; Zbl 1476.60106) Full Text: DOI arXiv
Salehi, Rezvan Two implicit meshless finite point schemes for the two-dimensional distributed-order fractional equation. (English) Zbl 1434.65209 Comput. Methods Appl. Math. 19, No. 4, 813-831 (2019). MSC: 65M70 65M12 65M15 35R11 60G22 PDFBibTeX XMLCite \textit{R. Salehi}, Comput. Methods Appl. Math. 19, No. 4, 813--831 (2019; Zbl 1434.65209) Full Text: DOI
Durastante, Fabio Efficient solution of time-fractional differential equations with a new adaptive multi-term discretization of the generalized Caputo-Dzherbashyan derivative. (English) Zbl 1427.65220 Calcolo 56, No. 4, Paper No. 36, 24 p. (2019). MSC: 65M22 65F10 65F08 35R11 65D32 PDFBibTeX XMLCite \textit{F. Durastante}, Calcolo 56, No. 4, Paper No. 36, 24 p. (2019; Zbl 1427.65220) Full Text: DOI
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions. (English) Zbl 1428.65023 J. Sci. Comput. 80, No. 3, 1395-1418 (2019). MSC: 65M08 65M12 65H10 65F10 15B05 65M06 PDFBibTeX XMLCite \textit{X. Zheng} et al., J. Sci. Comput. 80, No. 3, 1395--1418 (2019; Zbl 1428.65023) Full Text: DOI
Sandev, Trifce; Tomovski, Zivorad; Dubbeldam, Johan L. A.; Chechkin, Aleksei Generalized diffusion-wave equation with memory kernel. (English) Zbl 1422.35118 J. Phys. A, Math. Theor. 52, No. 1, Article ID 015201, 22 p. (2019). MSC: 35K57 35L05 35R11 35A08 60J60 47G20 33E12 PDFBibTeX XMLCite \textit{T. Sandev} et al., J. Phys. A, Math. Theor. 52, No. 1, Article ID 015201, 22 p. (2019; Zbl 1422.35118) Full Text: DOI arXiv
Ghanmi, Abdeljabbar; Horrigue, Samah Evolution equations with fractional Gross Laplacian and Caputo time fractional derivative. (English) Zbl 1447.60101 Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 80, 13 p. (2019). MSC: 60H15 46F25 60H05 46G20 PDFBibTeX XMLCite \textit{A. Ghanmi} and \textit{S. Horrigue}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 80, 13 p. (2019; Zbl 1447.60101) Full Text: DOI
Özarslan, Mehmet Ali; Kürt, Cemaliye Nonhomogeneous initial and boundary value problem for the Caputo-type fractional wave equation. (English) Zbl 1459.35382 Adv. Difference Equ. 2019, Paper No. 199, 14 p. (2019). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{M. A. Özarslan} and \textit{C. Kürt}, Adv. Difference Equ. 2019, Paper No. 199, 14 p. (2019; Zbl 1459.35382) Full Text: DOI
Ansari, Alireza Green’s function of two-dimensional time-fractional diffusion equation using addition formula of Wright function. (English) Zbl 1408.26006 Integral Transforms Spec. Funct. 30, No. 4, 301-315 (2019). MSC: 26A33 33E12 65R10 PDFBibTeX XMLCite \textit{A. Ansari}, Integral Transforms Spec. Funct. 30, No. 4, 301--315 (2019; Zbl 1408.26006) Full Text: DOI
Želi, Velibor; Zorica, Dušan Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law. (English) Zbl 1514.80002 Physica A 492, 2316-2335 (2018). MSC: 80A05 35Q79 35R11 80M20 PDFBibTeX XMLCite \textit{V. Želi} and \textit{D. Zorica}, Physica A 492, 2316--2335 (2018; Zbl 1514.80002) Full Text: DOI arXiv
Kharazmi, Ehsan; Zayernouri, Mohsen Fractional pseudo-spectral methods for distributed-order fractional PDEs. (English) Zbl 1513.65251 Int. J. Comput. Math. 95, No. 6-7, 1340-1361 (2018). MSC: 65L60 34A08 58C40 PDFBibTeX XMLCite \textit{E. Kharazmi} and \textit{M. Zayernouri}, Int. J. Comput. Math. 95, No. 6--7, 1340--1361 (2018; Zbl 1513.65251) Full Text: DOI
Li, Xiaoli; Rui, Hongxing Two temporal second-order \(H^1\)-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations. (English) Zbl 1407.65197 Numer. Algorithms 79, No. 4, 1107-1130 (2018). MSC: 65M60 26A33 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Numer. Algorithms 79, No. 4, 1107--1130 (2018; Zbl 1407.65197) Full Text: DOI
Zaky, Mahmoud A. A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. (English) Zbl 1404.65204 Comput. Appl. Math. 37, No. 3, 3525-3538 (2018). MSC: 65M70 34A08 33C45 11B83 65M12 35R11 PDFBibTeX XMLCite \textit{M. A. Zaky}, Comput. Appl. Math. 37, No. 3, 3525--3538 (2018; Zbl 1404.65204) Full Text: DOI
Padrino, Juan C. On the self-similar, Wright-function exact solution for early-time, anomalous diffusion in random networks: comparison with numerical results. (English) Zbl 1400.82252 Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 131, 10 p. (2018). MSC: 82C70 33E20 05C80 35R11 35R09 33C20 35R60 45K05 PDFBibTeX XMLCite \textit{J. C. Padrino}, Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 131, 10 p. (2018; Zbl 1400.82252) Full Text: DOI
Li, Xiaoli; Rui, Hongxing A block-centered finite difference method for the distributed-order time-fractional diffusion-wave equation. (English) Zbl 1395.65023 Appl. Numer. Math. 131, 123-139 (2018). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Appl. Numer. Math. 131, 123--139 (2018; Zbl 1395.65023) 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
Bu, Weiping; Xiao, Aiguo; Zeng, Wei Finite difference/finite element methods for distributed-order time fractional diffusion equations. (English) Zbl 1375.65110 J. Sci. Comput. 72, No. 1, 422-441 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M06 65M60 35K05 35R11 65M20 65M12 PDFBibTeX XMLCite \textit{W. Bu} et al., J. Sci. Comput. 72, No. 1, 422--441 (2017; Zbl 1375.65110) Full Text: DOI
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em Petrov-Galerkin and spectral collocation methods for distributed order differential equations. (English) Zbl 1367.65113 SIAM J. Sci. Comput. 39, No. 3, A1003-A1037 (2017). MSC: 65L15 34L16 34A08 65L60 PDFBibTeX XMLCite \textit{E. Kharazmi} et al., SIAM J. Sci. Comput. 39, No. 3, A1003--A1037 (2017; Zbl 1367.65113) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. (English) Zbl 1412.65131 Numer. Algorithms 75, No. 1, 173-211 (2017). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Numer. Algorithms 75, No. 1, 173--211 (2017; Zbl 1412.65131) Full Text: DOI
Moslehi, Leila; Ansari, Alireza On \(M\)-Wright transforms and time-fractional diffusion equations. (English) Zbl 1365.35215 Integral Transforms Spec. Funct. 28, No. 2, 113-129 (2017). MSC: 35R11 26A33 35C15 44A10 PDFBibTeX XMLCite \textit{L. Moslehi} and \textit{A. Ansari}, Integral Transforms Spec. Funct. 28, No. 2, 113--129 (2017; Zbl 1365.35215) Full Text: DOI
Prodanov, Dimiter Characterization of strongly non-linear and singular functions by scale space analysis. (English) Zbl 1372.26005 Chaos Solitons Fractals 93, 14-19 (2016). MSC: 26A27 26A33 26A16 PDFBibTeX XMLCite \textit{D. Prodanov}, Chaos Solitons Fractals 93, 14--19 (2016; Zbl 1372.26005) Full Text: DOI arXiv
Gao, Guang-hua; Sun, Zhi-zhong Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. (English) Zbl 1373.65055 J. Sci. Comput. 66, No. 3, 1281-1312 (2016). Reviewer: Charis Harley (Johannesburg) MSC: 65M06 35K05 35R11 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} and \textit{Z.-z. Sun}, J. Sci. Comput. 66, No. 3, 1281--1312 (2016; Zbl 1373.65055) Full Text: DOI
Wei, T.; Zhang, Z. Q. Robin coefficient identification for a time-fractional diffusion equation. (English) Zbl 1342.65210 Inverse Probl. Sci. Eng. 24, No. 4, 647-666 (2016). MSC: 65N20 65N80 PDFBibTeX XMLCite \textit{T. Wei} and \textit{Z. Q. Zhang}, Inverse Probl. Sci. Eng. 24, No. 4, 647--666 (2016; Zbl 1342.65210) 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
Raja, Muhammad Asif Zahoor; Manzar, Muhammad Anwaar; Samar, Raza An efficient computational intelligence approach for solving fractional order Riccati equations using ANN and SQP. (English) Zbl 1443.65097 Appl. Math. Modelling 39, No. 10-11, 3075-3093 (2015). MSC: 65L05 34A08 90C55 PDFBibTeX XMLCite \textit{M. A. Z. Raja} et al., Appl. Math. Modelling 39, No. 10--11, 3075--3093 (2015; Zbl 1443.65097) Full Text: DOI
Ye, H.; Liu, Fawang; Anh, V. Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. (English) Zbl 1349.65353 J. Comput. Phys. 298, 652-660 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{H. Ye} et al., J. Comput. Phys. 298, 652--660 (2015; Zbl 1349.65353) Full Text: DOI Link
Mentrelli, Andrea; Pagnini, Gianni Front propagation in anomalous diffusive media governed by time-fractional diffusion. (English) Zbl 1349.35404 J. Comput. Phys. 293, 427-441 (2015). MSC: 35R11 35K57 60G22 60J60 PDFBibTeX XMLCite \textit{A. Mentrelli} and \textit{G. Pagnini}, J. Comput. Phys. 293, 427--441 (2015; Zbl 1349.35404) Full Text: DOI Link
Zheng, Guang-Hui Recover the solute concentration from source measurement and boundary data. (English) Zbl 1326.65127 Inverse Probl. Sci. Eng. 23, No. 7, 1199-1221 (2015). MSC: 65M32 65M30 35R11 PDFBibTeX XMLCite \textit{G.-H. Zheng}, Inverse Probl. Sci. Eng. 23, No. 7, 1199--1221 (2015; Zbl 1326.65127) Full Text: DOI
Ibrahim, Rabha W. Fractional algebraic nonlinear differential equations in a complex domain. (English) Zbl 1333.35323 Afr. Mat. 26, No. 3-4, 385-397 (2015). MSC: 35R11 35A25 PDFBibTeX XMLCite \textit{R. W. Ibrahim}, Afr. Mat. 26, No. 3--4, 385--397 (2015; Zbl 1333.35323) Full Text: DOI
Aghili, A.; Masomi, M. R. Integral transform method for solving time fractional systems and fractional heat equation. (English) Zbl 1413.44001 Bol. Soc. Parana. Mat. (3) 32, No. 1, 307-324 (2014). MSC: 44A10 26A33 34A08 34K37 35R11 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{M. R. Masomi}, Bol. Soc. Parana. Mat. (3) 32, No. 1, 307--324 (2014; Zbl 1413.44001) Full Text: Link
Kirk, Colleen; Olmstead, W. Thermal blow-up in a subdiffusive medium due to a nonlinear boundary flux. (English) Zbl 1312.35182 Fract. Calc. Appl. Anal. 17, No. 1, 191-205 (2014). MSC: 35R11 35B44 45D05 80A20 35K61 PDFBibTeX XMLCite \textit{C. Kirk} and \textit{W. Olmstead}, Fract. Calc. Appl. Anal. 17, No. 1, 191--205 (2014; Zbl 1312.35182) Full Text: DOI
Wei, Ting; Zhang, Zheng-Qiang Stable numerical solution to a Cauchy problem for a time fractional diffusion equation. (English) Zbl 1297.65115 Eng. Anal. Bound. Elem. 40, 128-137 (2014). MSC: 65M30 65R20 45D05 35R30 35K57 35R11 PDFBibTeX XMLCite \textit{T. Wei} and \textit{Z.-Q. Zhang}, Eng. Anal. Bound. Elem. 40, 128--137 (2014; Zbl 1297.65115) Full Text: DOI
Mijena, Jebessa B.; Nane, Erkan Strong analytic solutions of fractional Cauchy problems. (English) Zbl 1284.35457 Proc. Am. Math. Soc. 142, No. 5, 1717-1731 (2014). MSC: 35R11 35C15 35S05 47G30 60K99 PDFBibTeX XMLCite \textit{J. B. Mijena} and \textit{E. Nane}, Proc. Am. Math. Soc. 142, No. 5, 1717--1731 (2014; Zbl 1284.35457) Full Text: DOI arXiv
Wei, Ting; Wang, Jungang A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. (English) Zbl 1282.65141 Appl. Numer. Math. 78, 95-111 (2014). MSC: 65N21 PDFBibTeX XMLCite \textit{T. Wei} and \textit{J. Wang}, Appl. Numer. Math. 78, 95--111 (2014; Zbl 1282.65141) Full Text: DOI
Jia, Junxiong; Peng, Jigen; Li, Kexue Well-posedness of abstract distributed-order fractional diffusion equations. (English) Zbl 1280.26013 Commun. Pure Appl. Anal. 13, No. 2, 605-621 (2014). MSC: 26A33 47D06 PDFBibTeX XMLCite \textit{J. Jia} et al., Commun. Pure Appl. Anal. 13, No. 2, 605--621 (2014; Zbl 1280.26013) Full Text: DOI
Satin, Seema E.; Parvate, Abhay; Gangal, A. D. Fokker-Planck equation on fractal curves. (English) Zbl 1323.35179 Chaos Solitons Fractals 52, 30-35 (2013). MSC: 35Q84 28A80 60J60 PDFBibTeX XMLCite \textit{S. E. Satin} et al., Chaos Solitons Fractals 52, 30--35 (2013; Zbl 1323.35179) Full Text: DOI arXiv
Gorenflo, Rudolf; Luchko, Yuri; Stojanović, Mirjana Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density. (English) Zbl 1312.35179 Fract. Calc. Appl. Anal. 16, No. 2, 297-316 (2013). MSC: 35R11 33E12 35S10 45K05 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Fract. Calc. Appl. Anal. 16, No. 2, 297--316 (2013; Zbl 1312.35179) Full Text: DOI
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
Atanacković, Teodor; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan The Cattaneo type space-time fractional heat conduction equation. (English) Zbl 1267.80006 Contin. Mech. Thermodyn. 24, No. 4-6, 293-311 (2012). Reviewer: Mersaid Aripov (Tashkent) MSC: 80A20 78A40 35L10 26A33 PDFBibTeX XMLCite \textit{T. Atanacković} et al., Contin. Mech. Thermodyn. 24, No. 4--6, 293--311 (2012; Zbl 1267.80006) Full Text: DOI
Ibrahim, Rabha W. Complex transforms for systems of fractional differential equations. (English) Zbl 1257.35194 Abstr. Appl. Anal. 2012, Article ID 814759, 15 p. (2012). MSC: 35R11 35A01 35A02 PDFBibTeX XMLCite \textit{R. W. Ibrahim}, Abstr. Appl. Anal. 2012, Article ID 814759, 15 p. (2012; Zbl 1257.35194) Full Text: DOI
D’Ovidio, Mirko From Sturm-Liouville problems to fractional and anomalous diffusions. (English) Zbl 1260.60159 Stochastic Processes Appl. 122, No. 10, 3513-3544 (2012). Reviewer: Enzo Orsingher (Roma) MSC: 60J60 60G22 60H10 26A33 PDFBibTeX XMLCite \textit{M. D'Ovidio}, Stochastic Processes Appl. 122, No. 10, 3513--3544 (2012; Zbl 1260.60159) Full Text: DOI arXiv
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
Zheng, G. H.; Wei, T. A new regularization method for a Cauchy problem of the time fractional diffusion equation. (English) Zbl 1245.35145 Adv. Comput. Math. 36, No. 2, 377-398 (2012). Reviewer: S. L. Kalla (Ellisville) MSC: 35R11 35R25 35R30 65J20 PDFBibTeX XMLCite \textit{G. H. Zheng} and \textit{T. Wei}, Adv. Comput. Math. 36, No. 2, 377--398 (2012; Zbl 1245.35145) Full Text: DOI
Luchko, Yury; Mainardi, Francesco; Rogosin, Sergei Professor Rudolf Gorenflo and his contribution to fractional calculus. (English) Zbl 1273.01048 Fract. Calc. Appl. Anal. 14, No. 1, 3-18 (2011). MSC: 01A70 01A60 26-03 26A33 PDFBibTeX XMLCite \textit{Y. Luchko} et al., Fract. Calc. Appl. Anal. 14, No. 1, 3--18 (2011; Zbl 1273.01048) Full Text: DOI Link
Lenzi, E. K.; Ribeiro, H. V.; Mukai, H.; Mendes, R. S. Continuous-time random walk as a guide to fractional Schrödinger equation. (English) Zbl 1309.81078 J. Math. Phys. 51, No. 9, 092102, 7 p. (2010). MSC: 81Q05 81P20 60G50 35K57 PDFBibTeX XMLCite \textit{E. K. Lenzi} et al., J. Math. Phys. 51, No. 9, 092102, 7 p. (2010; Zbl 1309.81078) Full Text: DOI Link
Raja, Muhammad Asif Zahoor; Khan, Junaid Ali; Qureshi, Ijaz Mansoor A new stochastic approach for solution of Riccati differential equation of fractional order. (English) Zbl 1228.65116 Ann. Math. Artif. Intell. 60, No. 3-4, 229-250 (2010). MSC: 65L10 34B15 34A08 65C20 68T20 90C27 90C15 PDFBibTeX XMLCite \textit{M. A. Z. Raja} et al., Ann. Math. Artif. Intell. 60, No. 3--4, 229--250 (2010; Zbl 1228.65116) Full Text: DOI
Aghili, A.; Ansari, A. New method for solving system of P.F.D.E. and fractional evolution disturbance equation of distributed order. (English) Zbl 1225.44002 J. Interdiscip. Math. 13, No. 2, 167-183 (2010). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 44A15 45E10 45D05 35R11 35A22 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{A. Ansari}, J. Interdiscip. Math. 13, No. 2, 167--183 (2010; Zbl 1225.44002) Full Text: DOI
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey. (English) Zbl 1222.60060 Int. J. Differ. Equ. 2010, Article ID 104505, 29 p. (2010). MSC: 60J60 26A33 60G17 35R11 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Int. J. Differ. Equ. 2010, Article ID 104505, 29 p. (2010; Zbl 1222.60060) Full Text: DOI arXiv EuDML
Aghili, A.; Ansari, A. Solving partial fractional differential equations using the \(\mathcal L_A\)-transform. (English) Zbl 1195.26006 Asian-Eur. J. Math. 3, No. 2, 209-220 (2010). MSC: 26A33 44A10 44A15 44A35 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{A. Ansari}, Asian-Eur. J. Math. 3, No. 2, 209--220 (2010; Zbl 1195.26006) Full Text: DOI
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan Semilinear ordinary differential equation coupled with distributed order fractional differential equation. (English) Zbl 1194.26006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4101-4114 (2010). Reviewer: Juan J. Trujillo (La Laguna) MSC: 26A33 34G20 47H10 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4101--4114 (2010; Zbl 1194.26006) Full Text: DOI arXiv
Huang, Z. L.; Jin, X. L.; Lim, C. W.; Wang, Y. Statistical analysis for stochastic systems including fractional derivatives. (English) Zbl 1183.70062 Nonlinear Dyn. 59, No. 1-2, 339-349 (2010). MSC: 70L05 26A33 PDFBibTeX XMLCite \textit{Z. L. Huang} et al., Nonlinear Dyn. 59, No. 1--2, 339--349 (2010; Zbl 1183.70062) Full Text: DOI
Konjik, Sanja; Oparnica, Ljubica; Zorica, Dusan Waves in fractional Zener type viscoelastic media. (English) Zbl 1185.35280 J. Math. Anal. Appl. 365, No. 1, 259-268 (2010). MSC: 35Q74 35A22 35A08 74B05 26A33 PDFBibTeX XMLCite \textit{S. Konjik} et al., J. Math. Anal. Appl. 365, No. 1, 259--268 (2010; Zbl 1185.35280) Full Text: DOI arXiv
Atanacković, Teodor M.; Konjik, Sanja; Pilipović, Stevan; Simić, Srboljub Variational problems with fractional derivatives: invariance conditions and Nöther’s theorem. (English) Zbl 1163.49022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 1504-1517 (2009). MSC: 49K15 26A33 PDFBibTeX XMLCite \textit{T. M. Atanacković} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 1504--1517 (2009; Zbl 1163.49022) Full Text: DOI arXiv
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan Distributional framework for solving fractional differential equations. (English) Zbl 1170.26003 Integral Transforms Spec. Funct. 20, No. 3-4, 215-222 (2009). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 46F12 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., Integral Transforms Spec. Funct. 20, No. 3--4, 215--222 (2009; Zbl 1170.26003) Full Text: DOI arXiv
Sugiura, Hiroshi; Hasegawa, Takemitsu Quadrature rule for Abel’s equations: Uniformly approximating fractional derivatives. (English) Zbl 1156.65109 J. Comput. Appl. Math. 223, No. 1, 459-468 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 45J05 45E10 26A33 PDFBibTeX XMLCite \textit{H. Sugiura} and \textit{T. Hasegawa}, J. Comput. Appl. Math. 223, No. 1, 459--468 (2009; Zbl 1156.65109) Full Text: DOI
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf Time-fractional diffusion of distributed order. (English) Zbl 1229.35118 J. Vib. Control 14, No. 9-10, 1267-1290 (2008). MSC: 35K57 26A33 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Vib. Control 14, No. 9--10, 1267--1290 (2008; Zbl 1229.35118) Full Text: DOI arXiv