Gerhold, Stefan Small ball probabilities and large deviations for grey Brownian motion. (English) Zbl 07790368 Electron. Commun. Probab. 28, Paper No. 47, 8 p. (2023). MSC: 60G22 60F10 PDFBibTeX XMLCite \textit{S. Gerhold}, Electron. Commun. Probab. 28, Paper No. 47, 8 p. (2023; Zbl 07790368) Full Text: DOI arXiv
Tuan, Nguyen Huy; Nguyen, Anh Tuan; Debbouche, Amar; Antonov, Valery Well-posedness results for nonlinear fractional diffusion equation with memory quantity. (English) Zbl 1527.35480 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2815-2838 (2023). MSC: 35R11 35B65 26A33 35K20 35R09 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2815--2838 (2023; Zbl 1527.35480) Full Text: DOI
Huy Tuan, Nguyen Global existence and convergence results for a class of nonlinear time fractional diffusion equation. (English) Zbl 1522.35557 Nonlinearity 36, No. 10, 5144-5189 (2023). MSC: 35R11 35K15 35K58 PDFBibTeX XMLCite \textit{N. Huy Tuan}, Nonlinearity 36, No. 10, 5144--5189 (2023; Zbl 1522.35557) Full Text: DOI
Zhu, Shouguo Optimal controls for fractional backward nonlocal evolution systems. (English) Zbl 1519.49002 Numer. Funct. Anal. Optim. 44, No. 8, 794-814 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49J15 49J27 34A08 26A33 34G10 35R11 47D06 PDFBibTeX XMLCite \textit{S. Zhu}, Numer. Funct. Anal. Optim. 44, No. 8, 794--814 (2023; Zbl 1519.49002) Full Text: DOI
Karthikeyan, K.; Senthil Raja, D.; Sundararajan, P. Existence results for abstract fractional integro differential equations. (English) Zbl 1512.45008 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 2, 109-119 (2023). MSC: 45J05 45N05 45R05 60H20 26A33 PDFBibTeX XMLCite \textit{K. Karthikeyan} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 2, 109--119 (2023; Zbl 1512.45008) Full Text: Link
Uçar, Sümeyra Analysis of hepatitis B disease with fractal-fractional Caputo derivative using real data from Turkey. (English) Zbl 1505.34075 J. Comput. Appl. Math. 419, Article ID 114692, 20 p. (2023). MSC: 34C60 34A08 92D30 92C60 34D05 28A78 PDFBibTeX XMLCite \textit{S. Uçar}, J. Comput. Appl. Math. 419, Article ID 114692, 20 p. (2023; Zbl 1505.34075) Full Text: DOI
Płociniczak, Łukasz; Świtała, Mateusz Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. (English) Zbl 1503.65182 Fract. Calc. Appl. Anal. 25, No. 4, 1651-1687 (2022). MSC: 65M06 65M60 65R20 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{M. Świtała}, Fract. Calc. Appl. Anal. 25, No. 4, 1651--1687 (2022; Zbl 1503.65182) Full Text: DOI arXiv
Beghin, Luisa; De Gregorio, Alessandro Stochastic solutions for time-fractional heat equations with complex spatial variables. (English) Zbl 1503.35249 Fract. Calc. Appl. Anal. 25, No. 1, 244-266 (2022). MSC: 35R11 35R60 60G22 26A33 PDFBibTeX XMLCite \textit{L. Beghin} and \textit{A. De Gregorio}, Fract. Calc. Appl. Anal. 25, No. 1, 244--266 (2022; Zbl 1503.35249) Full Text: DOI arXiv
Aceto, Lidia; Durastante, Fabio Efficient computation of the Wright function and its applications to fractional diffusion-wave equations. (English) Zbl 1508.65014 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181-2196 (2022). MSC: 65D20 65D30 44A10 26A33 33E12 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{F. Durastante}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181--2196 (2022; Zbl 1508.65014) Full Text: DOI arXiv
Nguyen, Anh Tuan; Caraballo, Tomás; Tuan, Nguyen Huy On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative. (English) Zbl 1501.35443 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 989-1031 (2022). Reviewer: Ismail Huseynov (Mersin) MSC: 35R11 26A33 33E12 35B40 35K30 35K58 PDFBibTeX XMLCite \textit{A. T. Nguyen} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 989--1031 (2022; Zbl 1501.35443) Full Text: DOI arXiv
Orlovsky, Dmitry; Piskarev, Sergey Inverse problem with final overdetermination for time-fractional differential equation in a Banach space. (English) Zbl 1494.34079 J. Inverse Ill-Posed Probl. 30, No. 2, 221-237 (2022). MSC: 34A55 34A08 34G20 33E12 PDFBibTeX XMLCite \textit{D. Orlovsky} and \textit{S. Piskarev}, J. Inverse Ill-Posed Probl. 30, No. 2, 221--237 (2022; Zbl 1494.34079) Full Text: DOI
Rakhimov, Kamoladdin; Sobirov, Zarifboy; Zhabborov, Nasridin The time-fractional Airy equation on the metric graph. (English) Zbl 07510960 J. Sib. Fed. Univ., Math. Phys. 14, No. 3, 376-388 (2021). MSC: 35Qxx 26Axx 26-XX PDFBibTeX XMLCite \textit{K. Rakhimov} et al., J. Sib. Fed. Univ., Math. Phys. 14, No. 3, 376--388 (2021; Zbl 07510960) Full Text: DOI MNR
Cahoy, Dexter; Di Nardo, Elvira; Polito, Federico Flexible models for overdispersed and underdispersed count data. (English) Zbl 1483.62049 Stat. Pap. 62, No. 6, 2969-2990 (2021). MSC: 62E15 60E05 PDFBibTeX XMLCite \textit{D. Cahoy} et al., Stat. Pap. 62, No. 6, 2969--2990 (2021; Zbl 1483.62049) Full Text: DOI arXiv
Droghei, Riccardo On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function. (English) Zbl 1498.34020 Fract. Calc. Appl. Anal. 24, No. 5, 1559-1570 (2021). MSC: 34A08 26A33 35R11 33E12 33E30 PDFBibTeX XMLCite \textit{R. Droghei}, Fract. Calc. Appl. Anal. 24, No. 5, 1559--1570 (2021; Zbl 1498.34020) Full Text: DOI arXiv
Juchem, Jasper; Chevalier, Amélie; Dekemele, Kevin; Loccufier, Mia First order plus fractional diffusive delay modeling: interconnected discrete systems. (English) Zbl 1498.93106 Fract. Calc. Appl. Anal. 24, No. 5, 1535-1558 (2021). MSC: 93B30 93A15 93B11 26A33 35R11 PDFBibTeX XMLCite \textit{J. Juchem} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1535--1558 (2021; Zbl 1498.93106) Full Text: DOI arXiv
Nguyen, Huy Tuan; Nguyen, Huu Can; Wang, Renhai; Zhou, Yong Initial value problem for fractional Volterra integro-differential equations with Caputo derivative. (English) Zbl 1478.35226 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6483-6510 (2021). MSC: 35R11 35B44 35K20 35K58 35K70 35K92 35R09 47A52 47J06 PDFBibTeX XMLCite \textit{H. T. Nguyen} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6483--6510 (2021; Zbl 1478.35226) Full Text: DOI
Tatar, Nasser-eddine Well-posedness and stability for a fractional thermo-viscoelastic Timoshenko problem. (English) Zbl 1476.35054 Comput. Appl. Math. 40, No. 6, Paper No. 200, 34 p. (2021). MSC: 35B40 35R11 35L20 35B35 PDFBibTeX XMLCite \textit{N.-e. Tatar}, Comput. Appl. Math. 40, No. 6, Paper No. 200, 34 p. (2021; Zbl 1476.35054) Full Text: DOI
Profeta, Christophe The area under a spectrally positive stable excursion and other related processes. (English) Zbl 1480.60042 Electron. J. Probab. 26, Paper No. 58, 21 p. (2021). MSC: 60E10 60G18 60G52 PDFBibTeX XMLCite \textit{C. Profeta}, Electron. J. Probab. 26, Paper No. 58, 21 p. (2021; Zbl 1480.60042) Full Text: DOI arXiv
Phuong, Nguyen Duc; Tuan, Nguyen Anh; Kumar, Devendra; Tuan, Nguyen Huy Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations. (English) Zbl 1469.35214 Math. Model. Nat. Phenom. 16, Paper No. 27, 14 p. (2021). MSC: 35R09 35K15 35K70 26A33 35R11 PDFBibTeX XMLCite \textit{N. D. Phuong} et al., Math. Model. Nat. Phenom. 16, Paper No. 27, 14 p. (2021; Zbl 1469.35214) Full Text: DOI
Kochubei, Anatoly N.; Kondratiev, Yuri; da Silva, José Luís On fractional heat equation. (English) Zbl 1474.35658 Fract. Calc. Appl. Anal. 24, No. 1, 73-87 (2021). MSC: 35R11 26A33 60G22 PDFBibTeX XMLCite \textit{A. N. Kochubei} et al., Fract. Calc. Appl. Anal. 24, No. 1, 73--87 (2021; Zbl 1474.35658) Full Text: DOI arXiv
Bock, Wolfgang; Desmettre, Sascha; da Silva, José Luís Integral representation of generalized grey Brownian motion. (English) Zbl 1490.60086 Stochastics 92, No. 4, 552-565 (2020). MSC: 60G20 60G22 60H05 PDFBibTeX XMLCite \textit{W. Bock} et al., Stochastics 92, No. 4, 552--565 (2020; Zbl 1490.60086) Full Text: DOI arXiv
Barabesi, Lucio The computation of the probability density and distribution functions for some families of random variables by means of the wynn-\( \rho\) accelerated post-Widder formula. (English) Zbl 07552653 Commun. Stat., Simulation Comput. 49, No. 5, 1333-1351 (2020). MSC: 62-XX PDFBibTeX XMLCite \textit{L. Barabesi}, Commun. Stat., Simulation Comput. 49, No. 5, 1333--1351 (2020; Zbl 07552653) Full Text: DOI
Tchorbadjieff, Assen; Mayster, Penka Geometric branching reproduction Markov processes. (English) Zbl 1492.60242 Mod. Stoch., Theory Appl. 7, No. 4, 357-378 (2020). MSC: 60J80 33C05 33C65 11B73 PDFBibTeX XMLCite \textit{A. Tchorbadjieff} and \textit{P. Mayster}, Mod. Stoch., Theory Appl. 7, No. 4, 357--378 (2020; Zbl 1492.60242) Full Text: DOI
Dolera, Emanuele; Favaro, Stefano A Berry-Esseen theorem for Pitman’s \(\alpha\)-diversity. (English) Zbl 1459.60070 Ann. Appl. Probab. 30, No. 2, 847-869 (2020). MSC: 60F15 60G57 PDFBibTeX XMLCite \textit{E. Dolera} and \textit{S. Favaro}, Ann. Appl. Probab. 30, No. 2, 847--869 (2020; Zbl 1459.60070) Full Text: DOI arXiv Euclid
Saifia, O.; Boucenna, D.; Chidouh, A. Study of Mainardi’s fractional heat problem. (English) Zbl 1442.35522 J. Comput. Appl. Math. 378, Article ID 112943, 8 p. (2020). MSC: 35R11 80A19 44A10 PDFBibTeX XMLCite \textit{O. Saifia} et al., J. Comput. Appl. Math. 378, Article ID 112943, 8 p. (2020; Zbl 1442.35522) Full Text: DOI
Zhang, Kangqun Existence results for a generalization of the time-fractional diffusion equation with variable coefficients. (English) Zbl 1524.35733 Bound. Value Probl. 2019, Paper No. 10, 11 p. (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{K. Zhang}, Bound. Value Probl. 2019, Paper No. 10, 11 p. (2019; Zbl 1524.35733) 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
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
da Silva, José Luís; Erraoui, Mohamed The Stein characterization of \(M\)-Wright distributions. (English) Zbl 1498.60088 Stochastics 91, No. 5, 716-727 (2019). MSC: 60F05 62E10 PDFBibTeX XMLCite \textit{J. L. da Silva} and \textit{M. Erraoui}, Stochastics 91, No. 5, 716--727 (2019; Zbl 1498.60088) Full Text: DOI arXiv
Balachandran, K.; Lizzy, R. Mabel; Trujillo, J. J. On representation of solutions of abstract fractional differential equations. (English) Zbl 1478.34005 J. Appl. Nonlinear Dyn. 8, No. 4, 677-687 (2019). MSC: 34A08 34G10 34F05 PDFBibTeX XMLCite \textit{K. Balachandran} et al., J. Appl. Nonlinear Dyn. 8, No. 4, 677--687 (2019; Zbl 1478.34005) 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
Khan, N. U.; Kashmin, T.; Khan, S. W. Fractional calculus and integral transforms of the \(M\)-Wright function. (English) Zbl 1449.33009 J. Appl. Math. Inform. 37, No. 5-6, 341-349 (2019). MSC: 33C20 26A33 33C60 43A30 PDFBibTeX XMLCite \textit{N. U. Khan} et al., J. Appl. Math. Inform. 37, No. 5--6, 341--349 (2019; Zbl 1449.33009) Full Text: DOI
da Silva, José L.; Streit, Ludwig Structure factors for generalized grey Browinian motion. (English) Zbl 1436.60040 Fract. Calc. Appl. Anal. 22, No. 2, 396-411 (2019). MSC: 60G22 33E12 65R10 PDFBibTeX XMLCite \textit{J. L. da Silva} and \textit{L. Streit}, Fract. Calc. Appl. Anal. 22, No. 2, 396--411 (2019; Zbl 1436.60040) Full Text: DOI arXiv
Cahoy, Dexter; Sedransk, Joseph Inverse stable prior for exponential models. (English) Zbl 1426.62062 J. Stat. Theory Pract. 13, No. 2, Paper No. 29, 21 p. (2019). MSC: 62E15 62F15 62J07 PDFBibTeX XMLCite \textit{D. Cahoy} and \textit{J. Sedransk}, J. Stat. Theory Pract. 13, No. 2, Paper No. 29, 21 p. (2019; Zbl 1426.62062) Full Text: DOI arXiv
Tawfik, Ashraf M.; Fichtner, Horst; Elhanbaly, A.; Schlickeiser, Reinhard Analytical solution of the space-time fractional hyperdiffusion equation. (English) Zbl 1514.35473 Physica A 510, 178-187 (2018). MSC: 35R11 35Q84 85A30 PDFBibTeX XMLCite \textit{A. M. Tawfik} et al., Physica A 510, 178--187 (2018; Zbl 1514.35473) Full Text: DOI
D’Ovidio, Mirko; Vitali, Silvia; Sposini, Vittoria; Sliusarenko, Oleksii; Paradisi, Paolo; Castellani, Gastone; Pagnini, Gianni Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion. (English) Zbl 1436.60041 Fract. Calc. Appl. Anal. 21, No. 5, 1420-1435 (2018). MSC: 60G22 65C30 91B70 60J60 34A08 60J70 PDFBibTeX XMLCite \textit{M. D'Ovidio} et al., Fract. Calc. Appl. Anal. 21, No. 5, 1420--1435 (2018; Zbl 1436.60041) Full Text: DOI arXiv
Aguilar, Jean-Philippe; Coste, Cyril; Korbel, Jan Series representation of the pricing formula for the European option driven by space-time fractional diffusion. (English) Zbl 1422.91675 Fract. Calc. Appl. Anal. 21, No. 4, 981-1004 (2018). MSC: 91G20 26A33 60G22 44A10 PDFBibTeX XMLCite \textit{J.-P. Aguilar} et al., Fract. Calc. Appl. Anal. 21, No. 4, 981--1004 (2018; Zbl 1422.91675) Full Text: DOI arXiv
Garrappa, Roberto; Popolizio, Marina Computing the matrix Mittag-Leffler function with applications to fractional calculus. (English) Zbl 1406.65031 J. Sci. Comput. 77, No. 1, 129-153 (2018). MSC: 65F60 65F35 33E12 26A33 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{M. Popolizio}, J. Sci. Comput. 77, No. 1, 129--153 (2018; Zbl 1406.65031) Full Text: DOI arXiv
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco The fractional Dodson diffusion equation: a new approach. (English) Zbl 1403.35314 Ric. Mat. 67, No. 2, 899-909 (2018). MSC: 35R11 33E12 45K05 PDFBibTeX XMLCite \textit{R. Garra} et al., Ric. Mat. 67, No. 2, 899--909 (2018; Zbl 1403.35314) Full Text: DOI arXiv
Lizzy, Rajendran Mabel; Balachandran, Krishnan Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces. (English) Zbl 1396.93023 Int. J. Appl. Math. Comput. Sci. 28, No. 1, 123-133 (2018). MSC: 93B05 93E03 93C25 93C10 93B28 47N70 PDFBibTeX XMLCite \textit{R. M. Lizzy} and \textit{K. Balachandran}, Int. J. Appl. Math. Comput. Sci. 28, No. 1, 123--133 (2018; Zbl 1396.93023) Full Text: DOI
Rundell, William; Zhang, Zhidong Recovering an unknown source in a fractional diffusion problem. (English) Zbl 1392.35333 J. Comput. Phys. 368, 299-314 (2018). MSC: 35R30 35R11 35A02 35R05 65M32 PDFBibTeX XMLCite \textit{W. Rundell} and \textit{Z. Zhang}, J. Comput. Phys. 368, 299--314 (2018; Zbl 1392.35333) Full Text: DOI arXiv Link
Goos, Demian Nahuel; Reyero, Gabriela Fernanda Mathematical analysis of a Cauchy problem for the time-fractional diffusion-wave equation with \( \alpha \in (0,2) \). (English) Zbl 1394.35553 J. Fourier Anal. Appl. 24, No. 2, 560-582 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 35R11 33E12 35G10 42A38 PDFBibTeX XMLCite \textit{D. N. Goos} and \textit{G. F. Reyero}, J. Fourier Anal. Appl. 24, No. 2, 560--582 (2018; Zbl 1394.35553) Full Text: DOI
Da Silva, José Luís; Erraoui, Mohamed Existence and upper bound for the density of solutions of stochastic differential equations driven by generalized grey noise. (English) Zbl 1394.60059 Stochastics 89, No. 6-7, 1116-1126 (2017). MSC: 60H10 60H07 60G22 PDFBibTeX XMLCite \textit{J. L. Da Silva} and \textit{M. Erraoui}, Stochastics 89, No. 6--7, 1116--1126 (2017; Zbl 1394.60059) Full Text: DOI
Atangana, Abdon Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. (English) Zbl 1374.28002 Chaos Solitons Fractals 102, 396-406 (2017). MSC: 28A33 65D30 65D25 PDFBibTeX XMLCite \textit{A. Atangana}, Chaos Solitons Fractals 102, 396--406 (2017; Zbl 1374.28002) Full Text: DOI
Shakeel, Abdul; Ahmad, Sohail; Khan, Hamid; Vieru, Dumitru Solutions with wright functions for time fractional convection flow near a heated vertical plate. (English) Zbl 1419.80011 Adv. Difference Equ. 2016, Paper No. 51, 11 p. (2016). MSC: 80A20 76A10 26A33 35Q35 PDFBibTeX XMLCite \textit{A. Shakeel} et al., Adv. Difference Equ. 2016, Paper No. 51, 11 p. (2016; Zbl 1419.80011) 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
Grothaus, M.; Jahnert, F. Mittag-Leffler analysis. II: Application to the fractional heat equation. (English) Zbl 1360.46034 J. Funct. Anal. 270, No. 7, 2732-2768 (2016). MSC: 46F25 60G22 26A33 33E12 PDFBibTeX XMLCite \textit{M. Grothaus} and \textit{F. Jahnert}, J. Funct. Anal. 270, No. 7, 2732--2768 (2016; Zbl 1360.46034) Full Text: DOI arXiv
Gorenflo, Rudolf; Mainardi, Francesco On the fractional Poisson process and the discretized stable subordinator. (English) Zbl 1415.60051 Axioms 4, No. 3, 321-344 (2015). MSC: 60G55 60G22 60K05 PDFBibTeX XMLCite \textit{R. Gorenflo} and \textit{F. Mainardi}, Axioms 4, No. 3, 321--344 (2015; Zbl 1415.60051) Full Text: DOI arXiv
Ansari, Alireza On the Fourier transform of the products of M-Wright functions. (English) Zbl 1412.33020 Bol. Soc. Parana. Mat. (3) 33, No. 1, 247-256 (2015). MSC: 33C47 43A30 PDFBibTeX XMLCite \textit{A. Ansari}, Bol. Soc. Parana. Mat. (3) 33, No. 1, 247--256 (2015; Zbl 1412.33020) Full Text: 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
Liemert, André; Kienle, Alwin Fundamental solution of the tempered fractional diffusion equation. (English) Zbl 1328.35278 J. Math. Phys. 56, No. 11, 113504, 14 p. (2015). MSC: 35R11 35K57 35A08 PDFBibTeX XMLCite \textit{A. Liemert} and \textit{A. Kienle}, J. Math. Phys. 56, No. 11, 113504, 14 p. (2015; Zbl 1328.35278) Full Text: DOI
Cahoy, Dexter O. Some skew-symmetric distributions which include the bimodal ones. (English) Zbl 1312.60006 Commun. Stat., Theory Methods 44, No. 3, 554-563 (2015). MSC: 60E05 PDFBibTeX XMLCite \textit{D. O. Cahoy}, Commun. Stat., Theory Methods 44, No. 3, 554--563 (2015; Zbl 1312.60006) Full Text: DOI
Costa, F. Silva; Marão, J. A. P. F.; Soares, J. C. Alves; de Oliveira, E. Capelas Similarity solution to fractional nonlinear space-time diffusion-wave equation. (English) Zbl 1507.35318 J. Math. Phys. 56, No. 3, 033507, 16 p. (2015). MSC: 35R11 35K55 35K57 60J60 26A33 PDFBibTeX XMLCite \textit{F. S. Costa} et al., J. Math. Phys. 56, No. 3, 033507, 16 p. (2015; Zbl 1507.35318) Full Text: DOI
Grothaus, M.; Jahnert, F.; Riemann, F.; da Silva, J. L. Mittag-Leffler analysis. I: Construction and characterization. (English) Zbl 1322.46026 J. Funct. Anal. 268, No. 7, 1876-1903 (2015). Reviewer: Hossam A. Ghany (Taif) MSC: 46F25 46G12 60G22 33E12 46F30 PDFBibTeX XMLCite \textit{M. Grothaus} et al., J. Funct. Anal. 268, No. 7, 1876--1903 (2015; Zbl 1322.46026) Full Text: DOI arXiv
Pagnini, Gianni Short note on the emergence of fractional kinetics. (English) Zbl 1395.82216 Physica A 409, 29-34 (2014). MSC: 82C41 35R11 PDFBibTeX XMLCite \textit{G. Pagnini}, Physica A 409, 29--34 (2014; Zbl 1395.82216) Full Text: DOI arXiv Link
Kumar, Pradeep; Pandey, Dwijendra N.; Bahuguna, D. Approximations of solutions to a fractional differential equation with a deviating argument. (English) Zbl 1314.34152 Differ. Equ. Dyn. Syst. 22, No. 4, 333-352 (2014). MSC: 34K30 35K90 47H06 34K37 34K07 PDFBibTeX XMLCite \textit{P. Kumar} et al., Differ. Equ. Dyn. Syst. 22, No. 4, 333--352 (2014; Zbl 1314.34152) Full Text: DOI
Roscani, Sabrina; Marcus, Eduardo Santillan A new equivalence of Stefan’s problems for the time fractional diffusion equation. (English) Zbl 1305.80008 Fract. Calc. Appl. Anal. 17, No. 2, 371-381 (2014). MSC: 80A22 35R11 35R35 PDFBibTeX XMLCite \textit{S. Roscani} and \textit{E. S. Marcus}, Fract. Calc. Appl. Anal. 17, No. 2, 371--381 (2014; Zbl 1305.80008) Full Text: DOI arXiv Link
Dou, F. F.; Hon, Y. C. Numerical computation for backward time-fractional diffusion equation. (English) Zbl 1297.65112 Eng. Anal. Bound. Elem. 40, 138-146 (2014). MSC: 65M30 65M80 35K57 35R11 PDFBibTeX XMLCite \textit{F. F. Dou} and \textit{Y. C. Hon}, Eng. Anal. Bound. Elem. 40, 138--146 (2014; Zbl 1297.65112) Full Text: DOI
Kumar, Pradeep; Pandey, D. N.; Bahuguna, D. Approximations of solutions to a retarded type fractional differential equation with a deviated argument. (English) Zbl 1300.34178 J. Integral Equations Appl. 26, No. 2, 215-242 (2014). MSC: 34K37 34G10 34K30 47N20 45G99 PDFBibTeX XMLCite \textit{P. Kumar} et al., J. Integral Equations Appl. 26, No. 2, 215--242 (2014; Zbl 1300.34178) Full Text: DOI Euclid
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
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
Naik, Shanoja R.; Abraham, Bovas The fractional-diffusion equation and a new distribution to model positively skewed data with heavy tails. (English) Zbl 1283.62022 Stat. Probab. Lett. 83, No. 7, 1759-1769 (2013). MSC: 62E10 62Q05 65C60 PDFBibTeX XMLCite \textit{S. R. Naik} and \textit{B. Abraham}, Stat. Probab. Lett. 83, No. 7, 1759--1769 (2013; Zbl 1283.62022) Full Text: DOI
Butkovskii, A. G.; Postnov, S. S.; Postnova, E. A. Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation. (English. Russian original) Zbl 1275.93039 Autom. Remote Control 74, No. 4, 543-574 (2013); translation from Avtom. Telemekh. 2013, No. 4, 3-42 (2013). MSC: 93C15 34A08 PDFBibTeX XMLCite \textit{A. G. Butkovskii} et al., Autom. Remote Control 74, No. 4, 543--574 (2013; Zbl 1275.93039); translation from Avtom. Telemekh. 2013, No. 4, 3--42 (2013) Full Text: DOI
Kurulay, Muhammet; Bayram, Mustafa Some properties of the Mittag-Leffler functions and their relation with the wright functions. (English) Zbl 1377.33012 Adv. Difference Equ. 2012, Paper No. 181, 8 p. (2012). MSC: 33E12 PDFBibTeX XMLCite \textit{M. Kurulay} and \textit{M. Bayram}, Adv. Difference Equ. 2012, Paper No. 181, 8 p. (2012; Zbl 1377.33012) Full Text: DOI
Dou, F. F.; Hon, Y. C. Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. (English) Zbl 1352.65309 Eng. Anal. Bound. Elem. 36, No. 9, 1344-1352 (2012). MSC: 65M32 44A10 35R11 45K05 PDFBibTeX XMLCite \textit{F. F. Dou} and \textit{Y. C. Hon}, Eng. Anal. Bound. Elem. 36, No. 9, 1344--1352 (2012; Zbl 1352.65309) Full Text: DOI
Cahoy, Dexter O. Moment estimators for the two-parameter \(M\)-Wright distribution. (English) Zbl 1304.65019 Comput. Stat. 27, No. 3, 487-497 (2012). MSC: 62-08 PDFBibTeX XMLCite \textit{D. O. Cahoy}, Comput. Stat. 27, No. 3, 487--497 (2012; Zbl 1304.65019) Full Text: DOI
Costa, F. S.; de Oliveira, E. Capelas Fractional wave-diffusion equation with periodic conditions. (English) Zbl 1278.35260 J. Math. Phys. 53, No. 12, 123520, 9 p. (2012). MSC: 35R11 44A10 42B05 PDFBibTeX XMLCite \textit{F. S. Costa} and \textit{E. C. de Oliveira}, J. Math. Phys. 53, No. 12, 123520, 9 p. (2012; Zbl 1278.35260) Full Text: DOI
Hanyga, A.; Seredyńska, M. Spatially fractional-order viscoelasticity, non-locality, and a new kind of anisotropy. (English) Zbl 1276.74015 J. Math. Phys. 53, No. 5, 052902, 21 p. (2012). MSC: 74D05 76A10 26A33 35R11 PDFBibTeX XMLCite \textit{A. Hanyga} and \textit{M. Seredyńska}, J. Math. Phys. 53, No. 5, 052902, 21 p. (2012; Zbl 1276.74015) Full Text: DOI arXiv
Scalas, Enrico; Viles, Noèlia On the convergence of quadratic variation for compound fractional Poisson processes. (English) Zbl 1278.60067 Fract. Calc. Appl. Anal. 15, No. 2, 314-331 (2012). Reviewer: Enzo Orsingher (Roma) MSC: 60F17 60G20 60G22 60G51 26A33 33E12 PDFBibTeX XMLCite \textit{E. Scalas} and \textit{N. Viles}, Fract. Calc. Appl. Anal. 15, No. 2, 314--331 (2012; Zbl 1278.60067) Full Text: DOI Link
Pagnini, Gianni Erdélyi-Kober fractional diffusion. (English) Zbl 1276.26021 Fract. Calc. Appl. Anal. 15, No. 1, 117-127 (2012). MSC: 26A33 45D05 60G22 33E30 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 15, No. 1, 117--127 (2012; Zbl 1276.26021) Full Text: DOI arXiv
Pagnini, Gianni; Mura, Antonio; Mainardi, Francesco Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion. (English) Zbl 1260.60163 Int. J. Stoch. Anal. 2012, Article ID 427383, 14 p. (2012). MSC: 60J60 60G18 60G22 PDFBibTeX XMLCite \textit{G. Pagnini} et al., Int. J. Stoch. Anal. 2012, Article ID 427383, 14 p. (2012; Zbl 1260.60163) Full Text: DOI
Cahoy, Dexter O. Estimation and simulation for the \(M\)-Wright function. (English) Zbl 1319.62073 Commun. Stat., Theory Methods 41, No. 7-9, 1466-1477 (2012). MSC: 62G05 65C10 62G20 PDFBibTeX XMLCite \textit{D. O. Cahoy}, Commun. Stat., Theory Methods 41, No. 7--9, 1466--1477 (2012; Zbl 1319.62073) 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
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
Saxena, R. K.; Kalla, S. L.; Saxena, Ravi Multivariate analogue of generalized Mittag-Leffler function. (English) Zbl 1275.33030 Integral Transforms Spec. Funct. 22, No. 7, 533-548 (2011). MSC: 33E12 33C15 26A33 47B38 47G10 PDFBibTeX XMLCite \textit{R. K. Saxena} et al., Integral Transforms Spec. Funct. 22, No. 7, 533--548 (2011; Zbl 1275.33030) Full Text: DOI