Mahmoudi, Mahmoud; Shojaeizadeh, Tahereh; Darehmiraki, Majid Optimal control of time-fractional convection-diffusion-reaction problem employing compact integrated RBF method. (English) Zbl 1516.49012 Math. Sci., Springer 17, No. 1, 1-14 (2023). MSC: 49J45 65M12 49K40 PDFBibTeX XMLCite \textit{M. Mahmoudi} et al., Math. Sci., Springer 17, No. 1, 1--14 (2023; Zbl 1516.49012) Full Text: DOI
Santoyo Cano, Alejandro; Uribe Bravo, Gerónimo A Meyer-Itô formula for stable processes via fractional calculus. (English) Zbl 1511.60099 Fract. Calc. Appl. Anal. 26, No. 2, 619-650 (2023). MSC: 60H15 60H25 26A33 60G18 60G52 35R11 35R60 PDFBibTeX XMLCite \textit{A. Santoyo Cano} and \textit{G. Uribe Bravo}, Fract. Calc. Appl. Anal. 26, No. 2, 619--650 (2023; Zbl 1511.60099) Full Text: DOI arXiv
Rodrigo, Marianito A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation. (English) Zbl 1503.35273 Fract. Calc. Appl. Anal. 25, No. 5, 1757-1784 (2022). MSC: 35R11 35K05 35L05 26A33 PDFBibTeX XMLCite \textit{M. Rodrigo}, Fract. Calc. Appl. Anal. 25, No. 5, 1757--1784 (2022; Zbl 1503.35273) Full Text: DOI arXiv
Bezerra, Mario; Cuevas, Claudio; Silva, Clessius; Soto, Herme On the fractional doubly parabolic Keller-Segel system modelling chemotaxis. (English) Zbl 1496.35418 Sci. China, Math. 65, No. 9, 1827-1874 (2022). MSC: 35R11 35B40 35K45 35K59 92C15 92C17 PDFBibTeX XMLCite \textit{M. Bezerra} et al., Sci. China, Math. 65, No. 9, 1827--1874 (2022; Zbl 1496.35418) Full Text: DOI
Suechoei, Apassara; Sa Ngiamsunthorn, Parinya Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term. (English) Zbl 1502.34012 Bound. Value Probl. 2022, Paper No. 21, 26 p. (2022). MSC: 34A08 34G20 49J27 93B52 PDFBibTeX XMLCite \textit{A. Suechoei} and \textit{P. Sa Ngiamsunthorn}, Bound. Value Probl. 2022, Paper No. 21, 26 p. (2022; Zbl 1502.34012) Full Text: DOI
Wang, Yibo; Du, Rui; Chai, Zhenhua Lattice Boltzmann model for time-fractional nonlinear wave equations. (English) Zbl 1499.65591 Adv. Appl. Math. Mech. 14, No. 4, 914-935 (2022). MSC: 65M75 82C40 35Q20 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 14, No. 4, 914--935 (2022; Zbl 1499.65591) Full Text: DOI
Zhu, Xiaogang; Li, Jimeng; Zhang, Yaping A local RBFs-based DQ approximation for Riesz fractional derivatives and its applications. (English) Zbl 07512659 Numer. Algorithms 90, No. 1, 159-196 (2022). MSC: 65M70 35R11 65D12 PDFBibTeX XMLCite \textit{X. Zhu} et al., Numer. Algorithms 90, No. 1, 159--196 (2022; Zbl 07512659) Full Text: DOI
Pandey, P.; Das, S.; Craciun, E.-M.; Sadowski, T. Two-dimensional nonlinear time fractional reaction-diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media. (English) Zbl 1521.76824 Meccanica 56, No. 1, 99-115 (2021). MSC: 76R50 76S05 76V05 76M99 26A33 PDFBibTeX XMLCite \textit{P. Pandey} et al., Meccanica 56, No. 1, 99--115 (2021; Zbl 1521.76824) Full Text: DOI
Herzallah, Mohamed A. E.; Radwan, Ashraf H. A. Existence and uniqueness of the mild solution of an abstract semilinear fractional differential equation with state dependent nonlocal condition. (English) Zbl 1513.34231 Kragujevac J. Math. 45, No. 6, 909-923 (2021). MSC: 34G20 26A33 34A08 34B10 PDFBibTeX XMLCite \textit{M. A. E. Herzallah} and \textit{A. H. A. Radwan}, Kragujevac J. Math. 45, No. 6, 909--923 (2021; Zbl 1513.34231) Full Text: DOI Link
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
Hai, Dinh Nguyen Duy Filter regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem with temporally dependent thermal conductivity. (English) Zbl 1498.35608 Fract. Calc. Appl. Anal. 24, No. 4, 1112-1129 (2021). MSC: 35R25 35R30 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{D. N. D. Hai}, Fract. Calc. Appl. Anal. 24, No. 4, 1112--1129 (2021; Zbl 1498.35608) Full Text: DOI
Zenyuk, D. A.; Malinetskiĭ, G. G. Linear stability analysis for reaction-subdiffusion system of mixed order. (Russian. English summary) Zbl 1476.35326 Mat. Model. 33, No. 10, 39-50 (2021). MSC: 35R11 35K40 35K57 PDFBibTeX XMLCite \textit{D. A. Zenyuk} and \textit{G. G. Malinetskiĭ}, Mat. Model. 33, No. 10, 39--50 (2021; Zbl 1476.35326) Full Text: DOI MNR
Karimi, Milad; Zallani, Fatemeh; Sayevand, Khosro Wavelet regularization strategy for the fractional inverse diffusion problem. (English) Zbl 1486.65152 Numer. Algorithms 87, No. 4, 1679-1705 (2021). MSC: 65M32 65M30 65T60 65M12 41A25 35K05 42C40 65F22 35R25 26A33 35R11 PDFBibTeX XMLCite \textit{M. Karimi} et al., Numer. Algorithms 87, No. 4, 1679--1705 (2021; Zbl 1486.65152) Full Text: DOI
Sun, Hong Guang; Wang, Zhaoyang; Nie, Jiayi; Zhang, Yong; Xiao, Rui Generalized finite difference method for a class of multidimensional space-fractional diffusion equations. (English) Zbl 07360491 Comput. Mech. 67, No. 1, 17-32 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{H. G. Sun} et al., Comput. Mech. 67, No. 1, 17--32 (2021; Zbl 07360491) Full Text: DOI
Kumar, Ashish; Pandey, Dwijendra N. Controllability results for non densely defined impulsive fractional differential equations in abstract space. (English) Zbl 1466.34069 Differ. Equ. Dyn. Syst. 29, No. 1, 227-237 (2021). MSC: 34K37 34K30 34K35 34K45 93B05 47D06 47N20 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{D. N. Pandey}, Differ. Equ. Dyn. Syst. 29, No. 1, 227--237 (2021; Zbl 1466.34069) Full Text: DOI
Xu, Wei; Liang, Yingjie; Chen, Wen; Wang, Fajie Recent advances of stretched Gaussian distribution underlying Hausdorff fractal distance and its applications in fitting stretched Gaussian noise. (English) Zbl 07572452 Physica A 539, Article ID 122996, 18 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{W. Xu} et al., Physica A 539, Article ID 122996, 18 p. (2020; Zbl 07572452) Full Text: DOI
Zhang, Hongwu; Zhang, Xiaoju Solving the Riesz-Feller space-fractional backward diffusion problem by a generalized Tikhonov method. (English) Zbl 1485.35411 Adv. Difference Equ. 2020, Paper No. 390, 16 p. (2020). MSC: 35R11 35R25 26A33 65M30 65M32 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{X. Zhang}, Adv. Difference Equ. 2020, Paper No. 390, 16 p. (2020; Zbl 1485.35411) Full Text: DOI
Buonocore, Salvatore; Sen, Mihir; Semperlotti, Fabio Stochastic scattering model of anomalous diffusion in arrays of steady vortices. (English) Zbl 1472.82033 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200183, 23 p. (2020). MSC: 82C70 PDFBibTeX XMLCite \textit{S. Buonocore} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200183, 23 p. (2020; Zbl 1472.82033) Full Text: DOI Link
Kokila, J.; Nair, M. T. Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem. (English) Zbl 1466.35360 Inverse Probl. Sci. Eng. 28, No. 3, 402-426 (2020). MSC: 35R11 35R30 35R25 35K20 33E12 PDFBibTeX XMLCite \textit{J. Kokila} and \textit{M. T. Nair}, Inverse Probl. Sci. Eng. 28, No. 3, 402--426 (2020; Zbl 1466.35360) Full Text: DOI
Taghavi, Ali; Babaei, Afshin; Mohammadpour, Alireza On the stable implicit finite differences approximation of diffusion equation with the time fractional derivative without singular kernel. (English) Zbl 1468.65112 Asian-Eur. J. Math. 13, No. 6, Article ID 2050111, 17 p. (2020). MSC: 65M06 65M12 65D30 35A22 35R11 PDFBibTeX XMLCite \textit{A. Taghavi} et al., Asian-Eur. J. Math. 13, No. 6, Article ID 2050111, 17 p. (2020; Zbl 1468.65112) Full Text: DOI
Yang, Zhanying; Zhang, Jie; Hu, Junhao; Mei, Jun Finite-time stability criteria for a class of high-order fractional Cohen-Grossberg neural networks with delay. (English) Zbl 1445.92010 Complexity 2020, Article ID 3604738, 11 p. (2020). MSC: 92B20 34K20 34A08 PDFBibTeX XMLCite \textit{Z. Yang} et al., Complexity 2020, Article ID 3604738, 11 p. (2020; Zbl 1445.92010) Full Text: DOI
Jiang, Yirong; Zhang, Qiongfen; Huang, Nanjing Fractional stochastic evolution hemivariational inequalities and optimal controls. (English) Zbl 1447.49016 Topol. Methods Nonlinear Anal. 55, No. 2, 493-515 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49J40 49J55 35R11 60H15 49J20 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Topol. Methods Nonlinear Anal. 55, No. 2, 493--515 (2020; Zbl 1447.49016) Full Text: DOI Euclid
Zouiten, Hayat; Boutoulout, Ali; Torres, Delfim F. M. Regional enlarged observability of Caputo fractional differential equations. (English) Zbl 1442.35537 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 1017-1029 (2020). MSC: 35R11 93B07 93C20 PDFBibTeX XMLCite \textit{H. Zouiten} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 1017--1029 (2020; Zbl 1442.35537) Full Text: DOI arXiv
Jiang, Yirong; Huang, Nanjing; Wei, Zhouchao Existence of a global attractor for fractional differential hemivariational inequalities. (English) Zbl 1436.49011 Discrete Contin. Dyn. Syst., Ser. B 25, No. 4, 1193-1212 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49J40 35R11 35R70 49J53 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 4, 1193--1212 (2020; Zbl 1436.49011) Full Text: DOI
Sliusarenko, Oleksii Yu; Vitali, Silvia; Sposini, Vittoria; Paradisi, Paolo; Chechkin, Aleksei; Castellani, Gastone; Pagnini, Gianni Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles. (English) Zbl 1505.81061 J. Phys. A, Math. Theor. 52, No. 9, Article ID 095601, 27 p. (2019). MSC: 81S25 PDFBibTeX XMLCite \textit{O. Y. Sliusarenko} et al., J. Phys. A, Math. Theor. 52, No. 9, Article ID 095601, 27 p. (2019; Zbl 1505.81061) Full Text: DOI arXiv
Zhu, Xiaogang; Nie, Yufeng; Yuan, Zhanbin; Wang, Jungang; Yang, Zongze A Galerkin FEM for Riesz space-fractional CNLS. (English) Zbl 1485.35415 Adv. Difference Equ. 2019, Paper No. 329, 20 p. (2019). MSC: 35R11 65M60 65M12 PDFBibTeX XMLCite \textit{X. Zhu} et al., Adv. Difference Equ. 2019, Paper No. 329, 20 p. (2019; Zbl 1485.35415) Full Text: DOI
de Oliveira, E. Capelas; Jarosz, S.; Vaz, J. jun. Fractional calculus via Laplace transform and its application in relaxation processes. (English) Zbl 1457.76153 Commun. Nonlinear Sci. Numer. Simul. 69, 58-72 (2019). MSC: 76R50 26A33 PDFBibTeX XMLCite \textit{E. C. de Oliveira} et al., Commun. Nonlinear Sci. Numer. Simul. 69, 58--72 (2019; Zbl 1457.76153) Full Text: DOI
Skardal, Per Sebastian; Adhikari, Sabina Dynamics of nonlinear random walks on complex networks. (English) Zbl 1425.90024 J. Nonlinear Sci. 29, No. 4, 1419-1444 (2019). MSC: 90B15 05C81 60G50 39A28 60J10 PDFBibTeX XMLCite \textit{P. S. Skardal} and \textit{S. Adhikari}, J. Nonlinear Sci. 29, No. 4, 1419--1444 (2019; Zbl 1425.90024) Full Text: DOI arXiv
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; Yuan, Jinyun Investigations on several high-order ADI methods for time-space fractional diffusion equation. (English) Zbl 1433.65171 Numer. Algorithms 82, No. 1, 69-106 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{S. Zhai} et al., Numer. Algorithms 82, No. 1, 69--106 (2019; Zbl 1433.65171) Full Text: DOI
Shamseldeen, S.; Elsaid, A.; Madkour, S. Caputo-Riesz-Feller fractional wave equation: analytic and approximate solutions and their continuation. (English) Zbl 1418.35366 J. Appl. Math. Comput. 59, No. 1-2, 423-444 (2019). MSC: 35R11 35C20 PDFBibTeX XMLCite \textit{S. Shamseldeen} et al., J. Appl. Math. Comput. 59, No. 1--2, 423--444 (2019; Zbl 1418.35366) Full Text: DOI
Zheng, Guang-Hui Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method. (English) Zbl 1404.65147 Appl. Numer. Math. 135, 99-128 (2019). MSC: 65M32 35R11 35R60 65T50 49N60 65N20 42A38 PDFBibTeX XMLCite \textit{G.-H. Zheng}, Appl. Numer. Math. 135, 99--128 (2019; Zbl 1404.65147) Full Text: DOI
Zhou, H. W.; Yang, S.; Zhang, S. Q. Conformable derivative approach to anomalous diffusion. (English) Zbl 1514.60116 Physica A 491, 1001-1013 (2018). MSC: 60K50 60J70 82C70 PDFBibTeX XMLCite \textit{H. W. Zhou} et al., Physica A 491, 1001--1013 (2018; Zbl 1514.60116) Full Text: DOI
Zouiten, Hayat; Boutoulout, Ali; Torres, Delfim F. M. Regional enlarged observability of fractional differential equations with Riemann-Liouville time derivatives. (English) Zbl 1432.93041 Axioms 7, No. 4, Paper No. 92, 13 p. (2018). MSC: 93B07 93C20 35R11 PDFBibTeX XMLCite \textit{H. Zouiten} et al., Axioms 7, No. 4, Paper No. 92, 13 p. (2018; Zbl 1432.93041) Full Text: DOI arXiv
Lian, TingTing; Fan, ZhenBin; Li, Gang Time optimal controls for fractional differential systems with Riemann-Liouville derivatives. (English) Zbl 1425.93137 Fract. Calc. Appl. Anal. 21, No. 6, 1524-1541 (2018). MSC: 93C23 26A33 49J15 34K37 PDFBibTeX XMLCite \textit{T. Lian} et al., Fract. Calc. Appl. Anal. 21, No. 6, 1524--1541 (2018; Zbl 1425.93137) Full Text: DOI
Wen, Jin; Cheng, Jun-Feng The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation. (English) Zbl 1409.65065 Inverse Probl. Sci. Eng. 26, No. 7, 925-941 (2018). MSC: 65M32 35R30 65M80 80A23 PDFBibTeX XMLCite \textit{J. Wen} and \textit{J.-F. Cheng}, Inverse Probl. Sci. Eng. 26, No. 7, 925--941 (2018; Zbl 1409.65065) Full Text: DOI
Obembe, Abiola D.; Abu-Khamsin, Sidqi A.; Hossain, M. Enamul; Mustapha, Kassem Analysis of subdiffusion in disordered and fractured media using a Grünwald-Letnikov fractional calculus model. (English) Zbl 1406.65063 Comput. Geosci. 22, No. 5, 1231-1250 (2018). MSC: 65M06 35R11 76M20 76S05 86A05 PDFBibTeX XMLCite \textit{A. D. Obembe} et al., Comput. Geosci. 22, No. 5, 1231--1250 (2018; Zbl 1406.65063) Full Text: DOI
Zaky, M. A.; Baleanu, D.; Alzaidy, J. F.; Hashemizadeh, E. Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation. (English) Zbl 1445.65042 Adv. Difference Equ. 2018, Paper No. 102, 11 p. (2018). MSC: 65M70 65M06 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Adv. Difference Equ. 2018, Paper No. 102, 11 p. (2018; Zbl 1445.65042) Full Text: DOI
Hafez, R. M.; Youssri, Y. H. Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation. (English) Zbl 1404.65195 Comput. Appl. Math. 37, No. 4, 5315-5333 (2018). MSC: 65M70 33C45 35R11 35K57 65M12 35K20 PDFBibTeX XMLCite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Comput. Appl. Math. 37, No. 4, 5315--5333 (2018; Zbl 1404.65195) Full Text: DOI
Mao, Zhiping; Shen, Jie Spectral element method with geometric mesh for two-sided fractional differential equations. (English) Zbl 1397.65305 Adv. Comput. Math. 44, No. 3, 745-771 (2018). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 65E05 65M70 41A05 41A10 41A25 35R11 65N15 PDFBibTeX XMLCite \textit{Z. Mao} and \textit{J. Shen}, Adv. Comput. Math. 44, No. 3, 745--771 (2018; Zbl 1397.65305) Full Text: DOI
Arshad, Sadia; Bu, Weiping; Huang, Jianfei; Tang, Yifa; Zhao, Yue Finite difference method for time-space linear and nonlinear fractional diffusion equations. (English) Zbl 1387.65080 Int. J. Comput. Math. 95, No. 1, 202-217 (2018). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{S. Arshad} et al., Int. J. Comput. Math. 95, No. 1, 202--217 (2018; Zbl 1387.65080) Full Text: DOI
Huang, Yanghong; Wang, Xiao Finite difference methods for the generator of 1D asymmetric alpha-stable Lévy motions. (English) Zbl 1387.35596 Comput. Methods Appl. Math. 18, No. 1, 63-76 (2018). MSC: 35R09 60G51 65N06 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{X. Wang}, Comput. Methods Appl. Math. 18, No. 1, 63--76 (2018; Zbl 1387.35596) Full Text: DOI arXiv
Taghavi, A.; Babaei, A.; Mohammadpour, A. A stable numerical scheme for a time fractional inverse parabolic equation. (English) Zbl 1398.65239 Inverse Probl. Sci. Eng. 25, No. 10, 1474-1491 (2017). MSC: 65M32 35R11 26A33 47A52 PDFBibTeX XMLCite \textit{A. Taghavi} et al., Inverse Probl. Sci. Eng. 25, No. 10, 1474--1491 (2017; Zbl 1398.65239) Full Text: DOI
Kosztołowicz, Tadeusz; Lewandowska, K. D.; Klinkosz, T. How to identify absorption in a subdiffusive medium. (English) Zbl 1390.82054 Math. Model. Nat. Phenom. 12, No. 6, 118-129 (2017). MSC: 82C70 60G22 39A50 PDFBibTeX XMLCite \textit{T. Kosztołowicz} et al., Math. Model. Nat. Phenom. 12, No. 6, 118--129 (2017; Zbl 1390.82054) Full Text: DOI
Li, Lei; Liu, Jian-Guo; Lu, Jianfeng Fractional stochastic differential equations satisfying fluctuation-dissipation theorem. (English) Zbl 1386.82053 J. Stat. Phys. 169, No. 2, 316-339 (2017). MSC: 82C31 60H10 60G22 34A08 37A60 60H15 35R11 PDFBibTeX XMLCite \textit{L. Li} et al., J. Stat. Phys. 169, No. 2, 316--339 (2017; Zbl 1386.82053) Full Text: DOI arXiv
Yang, Fan; Ren, Yu-Peng; Li, Xiao-Xiao; Li, Dun-Gang Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation. (English) Zbl 1386.35470 Bound. Value Probl. 2017, Paper No. 163, 19 p. (2017). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Bound. Value Probl. 2017, Paper No. 163, 19 p. (2017; Zbl 1386.35470) Full Text: DOI
Bondarenko, A. N.; Bugueva, T. V.; Ivashchenko, D. S. The method of integral transformations in inverse problems of anomalous diffusion. (English. Russian original) Zbl 1370.35019 Russ. Math. 61, No. 3, 1-11 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 3, 3-14 (2017). MSC: 35A22 35R30 35R11 PDFBibTeX XMLCite \textit{A. N. Bondarenko} et al., Russ. Math. 61, No. 3, 1--11 (2017; Zbl 1370.35019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 3, 3--14 (2017) Full Text: DOI
Zheng, Guang-Hui; Zhang, Quan-Guo Determining the initial distribution in space-fractional diffusion by a negative exponential regularization method. (English) Zbl 1369.65137 Inverse Probl. Sci. Eng. 25, No. 7, 965-977 (2017). MSC: 65N21 65N20 35R11 PDFBibTeX XMLCite \textit{G.-H. Zheng} and \textit{Q.-G. Zhang}, Inverse Probl. Sci. Eng. 25, No. 7, 965--977 (2017; Zbl 1369.65137) Full Text: DOI
Hai Dinh Nguyen Duy; Tuan Nguyen Huy; Long Le Dinh; Gia Quoc Thong Le Inverse problem for nonlinear backward space-fractional diffusion equation. (English) Zbl 1370.35153 J. Inverse Ill-Posed Probl. 25, No. 4, 423-443 (2017). MSC: 35K05 35R11 47J06 47H10 PDFBibTeX XMLCite \textit{Hai Dinh Nguyen Duy} et al., J. Inverse Ill-Posed Probl. 25, No. 4, 423--443 (2017; Zbl 1370.35153) Full Text: DOI
Yang, Fan; Li, Xiao-Xiao; Li, Dun-Gang; Wang, Lan The simplified Tikhonov regularization method for solving a Riesz-Feller space-fractional backward diffusion problem. (English) Zbl 1516.35544 Math. Comput. Sci. 11, No. 1, 91-110 (2017). MSC: 35R30 35R11 47A52 65M30 65M32 PDFBibTeX XMLCite \textit{F. Yang} et al., Math. Comput. Sci. 11, No. 1, 91--110 (2017; Zbl 1516.35544) Full Text: DOI
Baumann, Gerd; Stenger, Frank Fractional Fokker-Planck equation. (English) Zbl 1365.65028 Mathematics 5, No. 1, Paper No. 12, 19 p. (2017). MSC: 65D05 65D30 44A35 81-04 35Q84 35R11 PDFBibTeX XMLCite \textit{G. Baumann} and \textit{F. Stenger}, Mathematics 5, No. 1, Paper No. 12, 19 p. (2017; Zbl 1365.65028) Full Text: DOI
Cheng, Xing; Li, Zhiyuan; Yamamoto, Masahiro Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations. (English) Zbl 1372.35333 Math. Methods Appl. Sci. 40, No. 4, 1019-1031 (2017). MSC: 35R11 35B40 44A10 42B10 PDFBibTeX XMLCite \textit{X. Cheng} et al., Math. Methods Appl. Sci. 40, No. 4, 1019--1031 (2017; Zbl 1372.35333) Full Text: DOI arXiv
Górska, Katarzyna; Horzela, Andrzej; Penson, Karol A.; Dattoli, Giuseppe; Duchamp, Gerard H. E. The stretched exponential behavior and its underlying dynamics. The phenomenological approach. (English) Zbl 1360.35311 Fract. Calc. Appl. Anal. 20, No. 1, 260-283 (2017). MSC: 35R11 60G18 60G52 49M20 PDFBibTeX XMLCite \textit{K. Górska} et al., Fract. Calc. Appl. Anal. 20, No. 1, 260--283 (2017; Zbl 1360.35311) Full Text: DOI arXiv
Ge, Fudong; Chen, YangQuan; Kou, Chunhai Regional controllability analysis of fractional diffusion equations with Riemann-Liouville time fractional derivatives. (English) Zbl 1352.93022 Automatica 76, 193-199 (2017). MSC: 93B05 34A08 93C15 PDFBibTeX XMLCite \textit{F. Ge} et al., Automatica 76, 193--199 (2017; Zbl 1352.93022) Full Text: DOI arXiv
Tuan, Nguyen Huy; Hai, Dinh Nguyen Duy; Long, Le Dinh; Nguyen, Van Thinh; Kirane, Mokhtar On a Riesz-Feller space fractional backward diffusion problem with a nonlinear source. (English) Zbl 1351.65069 J. Comput. Appl. Math. 312, 103-126 (2017). MSC: 65M30 35K55 35R25 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 312, 103--126 (2017; Zbl 1351.65069) Full Text: DOI
Bondarenko, A. N.; Bugueva, T. V.; Dedok, V. A. Inverse problems of anomalous diffusion theory: An artificial neural network approach. (Russian, English) Zbl 1374.35435 Sib. Zh. Ind. Mat. 19, No. 3, 3-14 (2016); translation in J. Appl. Ind. Math. 10, No. 3, 311-321 (2016). MSC: 35R30 60J60 26A33 35R11 68T05 PDFBibTeX XMLCite \textit{A. N. Bondarenko} et al., Sib. Zh. Ind. Mat. 19, No. 3, 3--14 (2016; Zbl 1374.35435); translation in J. Appl. Ind. Math. 10, No. 3, 311--321 (2016) Full Text: DOI
Ge, Fudong; Chen, YangQuan; Kou, Chunhai; Podlubny, Igor On the regional controllability of the sub-diffusion process with Caputo fractional derivative. (English) Zbl 1499.93010 Fract. Calc. Appl. Anal. 19, No. 5, 1262-1281 (2016). MSC: 93B05 93C20 26A33 60J60 PDFBibTeX XMLCite \textit{F. Ge} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1262--1281 (2016; Zbl 1499.93010) Full Text: DOI
Sweilam, N. H.; Nagy, A. M.; El-Sayed, Adel A. Solving time-fractional order telegraph equation via Sinc-Legendre collocation method. (English) Zbl 1349.35410 Mediterr. J. Math. 13, No. 6, 5119-5133 (2016). MSC: 35R11 26A33 65M70 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Mediterr. J. Math. 13, No. 6, 5119--5133 (2016; Zbl 1349.35410) Full Text: DOI
Ge, Fudong; Chen, Yang Quan; Kou, Chunhai On the regional gradient observability of time fractional diffusion processes. (English) Zbl 1348.93054 Automatica 74, 1-9 (2016). MSC: 93B07 93C20 35R11 PDFBibTeX XMLCite \textit{F. Ge} et al., Automatica 74, 1--9 (2016; Zbl 1348.93054) Full Text: DOI arXiv
Guo, Yuxiang; Ma, Baoli Extension of Lyapunov direct method about the fractional nonautonomous systems with order lying in \((1,2)\). (English) Zbl 1354.34018 Nonlinear Dyn. 84, No. 3, 1353-1361 (2016). MSC: 34A08 34D05 34D20 37B55 93D05 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{B. Ma}, Nonlinear Dyn. 84, No. 3, 1353--1361 (2016; Zbl 1354.34018) Full Text: DOI
Wang, Tao; Wang, Yuan-Ming A modified compact ADI method and its extrapolation for two-dimensional fractional subdiffusion equations. (English) Zbl 1354.65173 J. Appl. Math. Comput. 52, No. 1-2, 439-476 (2016). Reviewer: Petr Sváček (Praha) MSC: 65M06 65M12 65M15 35R11 35K05 PDFBibTeX XMLCite \textit{T. Wang} and \textit{Y.-M. Wang}, J. Appl. Math. Comput. 52, No. 1--2, 439--476 (2016; Zbl 1354.65173) Full Text: DOI
Elsaid, A.; Abdel Latif, M. S.; Maneea, M. Similarity solutions for multiterm time-fractional diffusion equation. (English) Zbl 1403.35313 Adv. Math. Phys. 2016, Article ID 7304659, 7 p. (2016). MSC: 35R11 35C10 PDFBibTeX XMLCite \textit{A. Elsaid} et al., Adv. Math. Phys. 2016, Article ID 7304659, 7 p. (2016; Zbl 1403.35313) Full Text: DOI
Hesameddini, Esmail; Asadollahifard, Elham A new reliable algorithm based on the sinc function for the time fractional diffusion equation. (English) Zbl 1361.65081 Numer. Algorithms 72, No. 4, 893-913 (2016). Reviewer: Kai Diethelm (Braunschweig) MSC: 65M70 35K05 35R11 65M20 65M06 PDFBibTeX XMLCite \textit{E. Hesameddini} and \textit{E. Asadollahifard}, Numer. Algorithms 72, No. 4, 893--913 (2016; Zbl 1361.65081) Full Text: DOI
Pagnini, Gianni; Paradisi, Paolo A stochastic solution with Gaussian stationary increments of the symmetric space-time fractional diffusion equation. (English) Zbl 1341.60073 Fract. Calc. Appl. Anal. 19, No. 2, 408-440 (2016). MSC: 60H30 35R11 60G15 60G22 60J60 60G10 60G18 60G20 26A33 82C31 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{P. Paradisi}, Fract. Calc. Appl. Anal. 19, No. 2, 408--440 (2016; Zbl 1341.60073) Full Text: DOI arXiv
Zhou, Ping; Bai, Rongji; Cai, Hao Stabilization of the FO-BLDCM chaotic system in the sense of Lyapunov. (English) Zbl 1418.34020 Discrete Dyn. Nat. Soc. 2015, Article ID 750435, 5 p. (2015). MSC: 34A08 34C28 93B12 PDFBibTeX XMLCite \textit{P. Zhou} et al., Discrete Dyn. Nat. Soc. 2015, Article ID 750435, 5 p. (2015; Zbl 1418.34020) Full Text: DOI
Sibatov, Renat T.; Svetukhin, V. V. Fractional kinetics of subdiffusion-limited decomposition of a supersaturated solid solution. (English) Zbl 1355.74063 Chaos Solitons Fractals 81, Part B, 519-526 (2015). MSC: 74N25 74A25 35R11 PDFBibTeX XMLCite \textit{R. T. Sibatov} and \textit{V. V. Svetukhin}, Chaos Solitons Fractals 81, Part B, 519--526 (2015; Zbl 1355.74063) Full Text: DOI
Al-Mdallal, Qasem M.; Hajji, Mohamed A. A convergent algorithm for solving higher-order nonlinear fractional boundary value problems. (English) Zbl 1333.65081 Fract. Calc. Appl. Anal. 18, No. 6, 1423-1440 (2015). MSC: 65L10 34B15 34A08 65L60 PDFBibTeX XMLCite \textit{Q. M. Al-Mdallal} and \textit{M. A. Hajji}, Fract. Calc. Appl. Anal. 18, No. 6, 1423--1440 (2015; Zbl 1333.65081) Full Text: DOI
Zhou, Ping; Bai, Rongji The adaptive synchronization of fractional-order chaotic system with fractional-order \(1<q<2\) via linear parameter update law. (English) Zbl 1345.93100 Nonlinear Dyn. 80, No. 1-2, 753-765 (2015). MSC: 93C40 34C28 34D06 37M05 37N35 34C60 PDFBibTeX XMLCite \textit{P. Zhou} and \textit{R. Bai}, Nonlinear Dyn. 80, No. 1--2, 753--765 (2015; Zbl 1345.93100) Full Text: DOI
Umarov, Sabir Continuous time random walk models associated with distributed order diffusion equations. (English) Zbl 1319.60096 Fract. Calc. Appl. Anal. 18, No. 3, 821-837 (2015); corrigendum ibid. 18, No. 5, 1327 (2015). MSC: 60G50 60J60 35R11 60G51 60G52 35S10 PDFBibTeX XMLCite \textit{S. Umarov}, Fract. Calc. Appl. Anal. 18, No. 3, 821--837 (2015; Zbl 1319.60096) Full Text: DOI arXiv
Jawahdou, Adel Initial value problem of fractional integro-differential equations in Banach space. (English) Zbl 1317.34161 Fract. Calc. Appl. Anal. 18, No. 1, 20-37 (2015). MSC: 34K30 34K37 47N20 35R10 PDFBibTeX XMLCite \textit{A. Jawahdou}, Fract. Calc. Appl. Anal. 18, No. 1, 20--37 (2015; Zbl 1317.34161) Full Text: DOI
Shi, Cong; Wang, Chen; Zheng, Guanghui; Wei, Ting A new a posteriori parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem. (English) Zbl 1310.65113 J. Comput. Appl. Math. 279, 233-248 (2015). MSC: 65M30 35K05 35R11 PDFBibTeX XMLCite \textit{C. Shi} et al., J. Comput. Appl. Math. 279, 233--248 (2015; Zbl 1310.65113) Full Text: DOI
Bolat, Yaşar On the oscillation of fractional-order delay differential equations with constant coefficients. (English) Zbl 1440.34067 Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3988-3993 (2014). MSC: 34K11 34K37 PDFBibTeX XMLCite \textit{Y. Bolat}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3988--3993 (2014; Zbl 1440.34067) Full Text: DOI
Zhao, Jingjun; Liu, Songshu; Liu, Tao An inverse problem for space-fractional backward diffusion problem. (English) Zbl 1476.35340 Math. Methods Appl. Sci. 37, No. 8, 1147-1158 (2014). MSC: 35R30 35R11 65M32 PDFBibTeX XMLCite \textit{J. Zhao} et al., Math. Methods Appl. Sci. 37, No. 8, 1147--1158 (2014; Zbl 1476.35340) Full Text: DOI
Han, Jung Hun Gamma function to Beck-Cohen superstatistics. (English) Zbl 1395.33001 Physica A 392, No. 19, 4288-4298 (2013). MSC: 33B15 60E05 62E15 82B30 PDFBibTeX XMLCite \textit{J. H. Han}, Physica A 392, No. 19, 4288--4298 (2013; Zbl 1395.33001) Full Text: DOI
Pagnini, Gianni The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes. (English) Zbl 1312.33061 Fract. Calc. Appl. Anal. 16, No. 2, 436-453 (2013). MSC: 33E20 26A33 44A35 60G18 60G22 33E30 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 16, No. 2, 436--453 (2013; Zbl 1312.33061) Full Text: DOI
Wang, Yuan-Ming Maximum norm error estimates of ADI methods for a two-dimensional fractional subdiffusion equation. (English) Zbl 1291.65275 Adv. Math. Phys. 2013, Article ID 293706, 10 p. (2013). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Y.-M. Wang}, Adv. Math. Phys. 2013, Article ID 293706, 10 p. (2013; Zbl 1291.65275) Full Text: DOI
Achar, B. N. Narahari; Yale, Bradley T.; Hanneken, John W. Time fractional Schrödinger equation revisited. (English) Zbl 1292.81031 Adv. Math. Phys. 2013, Article ID 290216, 11 p. (2013). MSC: 81Q05 35R11 81S40 26A33 PDFBibTeX XMLCite \textit{B. N. N. Achar} et al., Adv. Math. Phys. 2013, Article ID 290216, 11 p. (2013; Zbl 1292.81031) Full Text: DOI
Li, Fang; Wang, Huiwen The existence results for abstract fractional differential equations with nonlocal conditions. (English) Zbl 1281.34011 Afr. Diaspora J. Math. 15, No. 2, 26-34 (2013). MSC: 34A08 34G20 47N20 34B10 PDFBibTeX XMLCite \textit{F. Li} and \textit{H. Wang}, Afr. Diaspora J. Math. 15, No. 2, 26--34 (2013; Zbl 1281.34011) Full Text: Euclid
Shu, Xiao-Bao; Xu, Fei The existence of solutions for impulsive fractional partial neutral differential equations. (English) Zbl 1268.35127 J. Math. 2013, Article ID 147193, 9 p. (2013). MSC: 35R11 PDFBibTeX XMLCite \textit{X.-B. Shu} and \textit{F. Xu}, J. Math. 2013, Article ID 147193, 9 p. (2013; Zbl 1268.35127) Full Text: DOI
Liu, Xiaoyou; Fu, Xi Control systems described by a class of fractional semilinear evolution equations and their relaxation property. (English) Zbl 1255.93071 Abstr. Appl. Anal. 2012, Article ID 850529, 20 p. (2012). MSC: 93C25 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Fu}, Abstr. Appl. Anal. 2012, Article ID 850529, 20 p. (2012; Zbl 1255.93071) Full Text: DOI
Zhang, Zufeng; Liu, Bin A note on impulsive fractional evolution equations with nondense domain. (English) Zbl 1246.34015 Abstr. Appl. Anal. 2012, Article ID 359452, 13 p. (2012). MSC: 34A08 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{B. Liu}, Abstr. Appl. Anal. 2012, Article ID 359452, 13 p. (2012; Zbl 1246.34015) Full Text: DOI
Li, Fang; Xiao, Ti-Jun; Xu, Hong-Kun On nonlinear neutral fractional integrodifferential inclusions with infinite delay. (English) Zbl 1244.45003 J. Appl. Math. 2012, Article ID 916543, 19 p. (2012). MSC: 45J05 34A08 PDFBibTeX XMLCite \textit{F. Li} et al., J. Appl. Math. 2012, Article ID 916543, 19 p. (2012; Zbl 1244.45003) Full Text: DOI
Zhang, Zufeng; Liu, Bin Existence results of nondensely defined fractional evolution differential inclusions. (English) Zbl 1318.47106 J. Appl. Math. 2012, Article ID 316850, 19 p. (2012). MSC: 47N20 34A08 34A60 47D62 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{B. Liu}, J. Appl. Math. 2012, Article ID 316850, 19 p. (2012; Zbl 1318.47106) Full Text: DOI
Pagnini, Gianni Nonlinear time-fractional differential equations in combustion science. (English) Zbl 1273.34013 Fract. Calc. Appl. Anal. 14, No. 1, 80-93 (2011). MSC: 34A08 80A25 35R11 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 14, No. 1, 80--93 (2011; Zbl 1273.34013) Full Text: DOI Link
Hahn, Marjorie; Umarov, Sabir Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations. (English) Zbl 1273.35293 Fract. Calc. Appl. Anal. 14, No. 1, 56-79 (2011). MSC: 35R11 35-02 35R60 60H10 82C31 35Q84 PDFBibTeX XMLCite \textit{M. Hahn} and \textit{S. Umarov}, Fract. Calc. Appl. Anal. 14, No. 1, 56--79 (2011; Zbl 1273.35293) Full Text: DOI Link
Tuan, Vu Kim Inverse problem for fractional diffusion equation. (English) Zbl 1273.35323 Fract. Calc. Appl. Anal. 14, No. 1, 31-55 (2011). MSC: 35R30 35-02 35R11 35K57 PDFBibTeX XMLCite \textit{V. K. Tuan}, Fract. Calc. Appl. Anal. 14, No. 1, 31--55 (2011; Zbl 1273.35323) Full Text: DOI Link
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
Li, Fang; N’guérékata, Gaston M. An existence result for neutral delay integrodifferential equations with fractional order and nonlocal conditions. (English) Zbl 1269.45006 Abstr. Appl. Anal. 2011, Article ID 952782, 20 p. (2011). MSC: 45J05 45G10 47H08 47H09 PDFBibTeX XMLCite \textit{F. Li} and \textit{G. M. N'guérékata}, Abstr. Appl. Anal. 2011, Article ID 952782, 20 p. (2011; Zbl 1269.45006) 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
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
Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. (English) Zbl 1191.65116 Numer. Algorithms 54, No. 1, 1-21 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 65M12 65M06 35K05 PDFBibTeX XMLCite \textit{C.-M. Chen} et al., Numer. Algorithms 54, No. 1, 1--21 (2010; Zbl 1191.65116) Full Text: DOI Link
Umarov, Sabir; Steinberg, Stanly Variable order differential equations with piecewise constant order-function and diffusion with changing modes. (English) Zbl 1181.35359 Z. Anal. Anwend. 28, No. 4, 431-450 (2009). MSC: 35S10 26A33 45K05 35A08 35S15 33E12 PDFBibTeX XMLCite \textit{S. Umarov} and \textit{S. Steinberg}, Z. Anal. Anwend. 28, No. 4, 431--450 (2009; Zbl 1181.35359) Full Text: DOI arXiv Link
Chen, Chang-Ming; Liu, F. A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation. (English) Zbl 1177.26009 J. Appl. Math. Comput. 30, No. 1-2, 219-236 (2009). MSC: 26A33 65M12 65M06 PDFBibTeX XMLCite \textit{C.-M. Chen} and \textit{F. Liu}, J. Appl. Math. Comput. 30, No. 1--2, 219--236 (2009; Zbl 1177.26009) Full Text: DOI
Podlubny, Igor; Chechkin, Aleksei; Skovranek, Tomas; Chen, Yangquan; Vinagre Jara, Blas M. Matrix approach to discrete fractional calculus. II: Partial fractional differential equations. (English) Zbl 1160.65308 J. Comput. Phys. 228, No. 8, 3137-3153 (2009). MSC: 65D25 65M06 91B82 65Z05 PDFBibTeX XMLCite \textit{I. Podlubny} et al., J. Comput. Phys. 228, No. 8, 3137--3153 (2009; Zbl 1160.65308) Full Text: DOI arXiv
Shen, S.; Liu, Fawang; Anh, V. Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order. (English) Zbl 1157.65520 J. Appl. Math. Comput. 28, No. 1-2, 147-164 (2008). MSC: 65R20 45K05 26A33 65M06 65G50 46F10 60H25 PDFBibTeX XMLCite \textit{S. Shen} et al., J. Appl. Math. Comput. 28, No. 1--2, 147--164 (2008; Zbl 1157.65520) Full Text: DOI Link
Marseguerra, M.; Zoia, A. Monte Carlo evaluation of FADE approach to anomalous kinetics. (English) Zbl 1138.65003 Math. Comput. Simul. 77, No. 4, 345-357 (2008). MSC: 65C05 65C35 44A10 45K05 PDFBibTeX XMLCite \textit{M. Marseguerra} and \textit{A. Zoia}, Math. Comput. Simul. 77, No. 4, 345--357 (2008; Zbl 1138.65003) Full Text: DOI arXiv
Gorenflo, Rudolf; Vivoli, Alessandro; Mainardi, Francesco Discrete and continuous random walk models for space-time fractional diffusion. (English) Zbl 1125.76067 Nonlinear Dyn. 38, No. 1-4, 101-116 (2004). Reviewer: Gheorghe Oprişan (Bucureşti) MSC: 76R50 76M35 60J60 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Nonlinear Dyn. 38, No. 1--4, 101--116 (2004; Zbl 1125.76067) Full Text: DOI
Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Pagnini, Gianni; Paradisi, Paolo Fractional diffusion: probability distributions and random walk models. (English) Zbl 0986.82037 Physica A 305, No. 1-2, 106-112 (2002). MSC: 82B41 76R50 60G50 35K57 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Physica A 305, No. 1--2, 106--112 (2002; Zbl 0986.82037) Full Text: DOI
Mainardi, Francesco; Gorenflo, Rudolf On Mittag-Leffler-type functions in fractional evolution processes. (English) Zbl 0970.45005 J. Comput. Appl. Math. 118, No. 1-2, 283-299 (2000). Reviewer: Ismail Taqi Ali (Safat) MSC: 45J05 26A33 33E20 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{R. Gorenflo}, J. Comput. Appl. Math. 118, No. 1--2, 283--299 (2000; Zbl 0970.45005) Full Text: DOI