Feng, Xiaoli; Yuan, Xiaoyu; Zhao, Meixia; Qian, Zhi Numerical methods for the forward and backward problems of a time-space fractional diffusion equation. (English) Zbl 07814910 Calcolo 61, No. 1, Paper No. 16, 37 p. (2024). MSC: 65L10 65K10 PDFBibTeX XMLCite \textit{X. Feng} et al., Calcolo 61, No. 1, Paper No. 16, 37 p. (2024; Zbl 07814910) Full Text: DOI
Wen, Jin; Wang, Yong-Ping; Wang, Yu-Xin; Wang, Yong-Qin The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation. (English) Zbl 07810046 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{J. Wen} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024; Zbl 07810046) Full Text: DOI
Lenka, Bichitra Kumar; Upadhyay, Ranjit Kumar New results on dynamic output state feedback stabilization of some class of time-varying nonlinear Caputo derivative systems. (English) Zbl 07810011 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024). MSC: 93-XX 34A08 PDFBibTeX XMLCite \textit{B. K. Lenka} and \textit{R. K. Upadhyay}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024; Zbl 07810011) Full Text: DOI
Bouzeffour, Fethi Fractional Bessel derivative within the Mellin transform framework. (English) Zbl 07803618 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 3, 15 p. (2024). MSC: 26A33 33C10 44A20 PDFBibTeX XMLCite \textit{F. Bouzeffour}, J. Nonlinear Math. Phys. 31, No. 1, Paper No. 3, 15 p. (2024; Zbl 07803618) Full Text: DOI OA License
Yang, Jiye; Li, Yuqing; Liu, Zhiyong A finite difference/Kansa method for the two-dimensional time and space fractional Bloch-Torrey equation. (English) Zbl 07801626 Comput. Math. Appl. 156, 1-15 (2024). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 156, 1--15 (2024; Zbl 07801626) Full Text: DOI
D’Ovidio, Mirko; Iafrate, Francesco Elastic drifted Brownian motions and non-local boundary conditions. (English) Zbl 07785660 Stochastic Processes Appl. 167, Article ID 104228, 36 p. (2024). MSC: 60J65 60G52 35R11 60G22 60J60 PDFBibTeX XMLCite \textit{M. D'Ovidio} and \textit{F. Iafrate}, Stochastic Processes Appl. 167, Article ID 104228, 36 p. (2024; Zbl 07785660) Full Text: DOI arXiv
Dinh Nguyen Duy Hai On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem. (English) Zbl 1527.35489 J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 35R30 35R11 65M32 35R25 PDFBibTeX XMLCite \textit{Dinh Nguyen Duy Hai}, J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024; Zbl 1527.35489) Full Text: DOI
Guerngar, Ngartelbaye; Nane, Erkan; Ulusoy, Suleyman; van Wyk, Hans Werner A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion. (English) Zbl 07818964 Fract. Differ. Calc. 13, No. 1, 87-104 (2023). MSC: 35C10 35R11 35R25 35R30 PDFBibTeX XMLCite \textit{N. Guerngar} et al., Fract. Differ. Calc. 13, No. 1, 87--104 (2023; Zbl 07818964) Full Text: DOI arXiv
Rogosin, S.; Dubatovskaya, M. Fractional Stefan problem: a survey of the recent results. (English) Zbl 07792169 Lobachevskii J. Math. 44, No. 8, 3535-3554 (2023). MSC: 35-02 35R11 35R35 35R37 PDFBibTeX XMLCite \textit{S. Rogosin} and \textit{M. Dubatovskaya}, Lobachevskii J. Math. 44, No. 8, 3535--3554 (2023; Zbl 07792169) Full Text: DOI
Cuesta, Carlota Maria; Diez-Izagirre, Xuban Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case. (English) Zbl 07790561 Czech. Math. J. 73, No. 4, 1057-1080 (2023). MSC: 35B40 47J35 26A33 PDFBibTeX XMLCite \textit{C. M. Cuesta} and \textit{X. Diez-Izagirre}, Czech. Math. J. 73, No. 4, 1057--1080 (2023; Zbl 07790561) Full Text: DOI arXiv
Mijena, Jebessa B.; Nane, Erkan; Negash, Alemayehu G. Level of noises and long time behavior of the solution for space-time fractional SPDE in bounded domains. (English) Zbl 07765951 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2559-2588 (2023). Reviewer: Martin Ondreját (Praha) MSC: 60H15 PDFBibTeX XMLCite \textit{J. B. Mijena} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2559--2588 (2023; Zbl 07765951) Full Text: DOI arXiv
Faustino, Nelson On fractional semidiscrete Dirac operators of Lévy-Leblond type. (English) Zbl 1523.30061 Math. Nachr. 296, No. 7, 2758-2779 (2023). MSC: 30G35 35R11 39A12 47D06 PDFBibTeX XMLCite \textit{N. Faustino}, Math. Nachr. 296, No. 7, 2758--2779 (2023; Zbl 1523.30061) Full Text: DOI arXiv OA License
Lin, Guoxing Describing NMR chemical exchange by effective phase diffusion approach. (English) Zbl 1522.81784 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107402, 17 p. (2023). MSC: 81V55 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107402, 17 p. (2023; Zbl 1522.81784) Full Text: DOI arXiv
Du, Qiang; Zhou, Zhi Nonlocal-in-time dynamics and crossover of diffusive regimes. (English) Zbl 1524.35783 Int. J. Numer. Anal. Model. 20, No. 3, 353-370 (2023). MSC: 35R35 49J40 60G40 PDFBibTeX XMLCite \textit{Q. Du} and \textit{Z. Zhou}, Int. J. Numer. Anal. Model. 20, No. 3, 353--370 (2023; Zbl 1524.35783) Full Text: DOI arXiv
Aguilar, Jean-Philippe; Kirkby, Justin Lars Closed-form option pricing for exponential Lévy models: a residue approach. (English) Zbl 1518.91270 Quant. Finance 23, No. 2, 251-278 (2023). MSC: 91G20 60G51 44A10 PDFBibTeX XMLCite \textit{J.-P. Aguilar} and \textit{J. L. Kirkby}, Quant. Finance 23, No. 2, 251--278 (2023; Zbl 1518.91270) Full Text: DOI
Sin, Chung-Sik Gevrey type regularity of the Riesz-Feller operator perturbed by gradient in \(L^p(\mathbb{R})\). (English) Zbl 1518.47075 Complex Anal. Oper. Theory 17, No. 4, Paper No. 49, 18 p. (2023). MSC: 47D60 47A10 47G20 47G30 60J35 PDFBibTeX XMLCite \textit{C.-S. Sin}, Complex Anal. Oper. Theory 17, No. 4, Paper No. 49, 18 p. (2023; Zbl 1518.47075) Full Text: DOI
Pskhu, A. V. D’Alembert formula for diffusion-wave equation. (English) Zbl 07688847 Lobachevskii J. Math. 44, No. 2, 644-652 (2023). MSC: 26Axx 44Axx 35Rxx PDFBibTeX XMLCite \textit{A. V. Pskhu}, Lobachevskii J. Math. 44, No. 2, 644--652 (2023; Zbl 07688847) Full Text: DOI
Dang Duc Trong; Nguyen Dang Minh; Nguyen Nhu Lan; Nguyen Thi Mong Ngoc Continuity of the solution to a stochastic time-fractional diffusion equations in the spatial domain with locally Lipschitz sources. (English) Zbl 1514.60073 Acta Math. Vietnam. 48, No. 1, 237-257 (2023). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 60J60 35R60 60H40 PDFBibTeX XMLCite \textit{Dang Duc Trong} et al., Acta Math. Vietnam. 48, No. 1, 237--257 (2023; Zbl 1514.60073) Full Text: DOI
Sin, Chung-Sik Cauchy problem for fractional advection-diffusion-asymmetry equations. (English) Zbl 1512.35634 Result. Math. 78, No. 3, Paper No. 111, 30 p. (2023). MSC: 35R11 35A08 35B40 35K15 45K05 47D06 PDFBibTeX XMLCite \textit{C.-S. Sin}, Result. Math. 78, No. 3, Paper No. 111, 30 p. (2023; Zbl 1512.35634) Full Text: DOI
Paris, Richard Asymptotics of the Mittag-Leffler function \(E_a(z)\) on the negative real axis when \(a \rightarrow 1\). (English) Zbl 1503.30092 Fract. Calc. Appl. Anal. 25, No. 2, 735-746 (2022). MSC: 30E15 30E20 33E20 33E12 PDFBibTeX XMLCite \textit{R. Paris}, Fract. Calc. Appl. Anal. 25, No. 2, 735--746 (2022; Zbl 1503.30092) Full Text: DOI
Namba, Tokinaga; Rybka, Piotr; Sato, Shoichi Special solutions to the space fractional diffusion problem. (English) Zbl 1503.35270 Fract. Calc. Appl. Anal. 25, No. 6, 2139-2165 (2022). MSC: 35R11 35C05 26A33 PDFBibTeX XMLCite \textit{T. Namba} et al., Fract. Calc. Appl. Anal. 25, No. 6, 2139--2165 (2022; Zbl 1503.35270) Full Text: DOI arXiv
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
Tomovski, Živorad; Metzler, Ralf; Gerhold, Stefan Fractional characteristic functions, and a fractional calculus approach for moments of random variables. (English) Zbl 1503.26013 Fract. Calc. Appl. Anal. 25, No. 4, 1307-1323 (2022). MSC: 26A33 60E10 33E12 44A10 44A20 PDFBibTeX XMLCite \textit{Ž. Tomovski} et al., Fract. Calc. Appl. Anal. 25, No. 4, 1307--1323 (2022; Zbl 1503.26013) Full Text: DOI
Roscani, Sabrina D.; Tarzia, Domingo A.; Venturato, Lucas D. The similarity method and explicit solutions for the fractional space one-phase Stefan problems. (English) Zbl 1503.35274 Fract. Calc. Appl. Anal. 25, No. 3, 995-1021 (2022). MSC: 35R11 26A33 33E12 PDFBibTeX XMLCite \textit{S. D. Roscani} et al., Fract. Calc. Appl. Anal. 25, No. 3, 995--1021 (2022; Zbl 1503.35274) Full Text: DOI arXiv
D’Ovidio, Mirko Fractional boundary value problems. (English) Zbl 1503.60111 Fract. Calc. Appl. Anal. 25, No. 1, 29-59 (2022). MSC: 60J50 60J55 35R11 26A33 PDFBibTeX XMLCite \textit{M. D'Ovidio}, Fract. Calc. Appl. Anal. 25, No. 1, 29--59 (2022; Zbl 1503.60111) Full Text: DOI arXiv
Aayadi, Khadija; Akhlil, Khalid; Ben Aadi, Sultana; Mahdioui, Hicham Weak solutions to the time-fractional \(g\)-Bénard equations. (English) Zbl 1513.76064 Bound. Value Probl. 2022, Paper No. 70, 17 p. (2022). MSC: 76D05 47F05 35Q30 35R11 26A33 76D03 PDFBibTeX XMLCite \textit{K. Aayadi} et al., Bound. Value Probl. 2022, Paper No. 70, 17 p. (2022; Zbl 1513.76064) Full Text: DOI arXiv
Vieira, Nelson; Rodrigues, M. Manuela; Ferreira, Milton Time-fractional diffusion equation with \(\psi\)-Hilfer derivative. (English) Zbl 1513.35536 Comput. Appl. Math. 41, No. 6, Paper No. 230, 26 p. (2022). MSC: 35R11 26A33 35A08 35A22 35C15 PDFBibTeX XMLCite \textit{N. Vieira} et al., Comput. Appl. Math. 41, No. 6, Paper No. 230, 26 p. (2022; Zbl 1513.35536) Full Text: DOI
Wang, Wensheng Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation. (English) Zbl 1495.35221 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 582-613 (2022). MSC: 35R60 35R09 35R11 60H40 45K05 PDFBibTeX XMLCite \textit{W. Wang}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 582--613 (2022; Zbl 1495.35221) Full Text: DOI
Leonenko, Nikolai; Pirozzi, Enrica First passage times for some classes of fractional time-changed diffusions. (English) Zbl 1495.60075 Stochastic Anal. Appl. 40, No. 4, 735-763 (2022). MSC: 60J60 60G15 60G22 PDFBibTeX XMLCite \textit{N. Leonenko} and \textit{E. Pirozzi}, Stochastic Anal. Appl. 40, No. 4, 735--763 (2022; Zbl 1495.60075) Full Text: DOI
Feng, Xiaoli; Zhao, Meixia; Qian, Zhi A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535 J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022). MSC: 35R25 35R30 47A52 65M06 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022; Zbl 1490.35535) Full Text: DOI
Hai, Dinh Nguyen Duy Hölder-logarithmic type approximation for nonlinear backward parabolic equations connected with a pseudo-differential operator. (English) Zbl 1487.35224 Commun. Pure Appl. Anal. 21, No. 5, 1715-1734 (2022). MSC: 35K58 35S16 35R25 47J06 60H50 PDFBibTeX XMLCite \textit{D. N. D. Hai}, Commun. Pure Appl. Anal. 21, No. 5, 1715--1734 (2022; Zbl 1487.35224) Full Text: DOI
Bouzeffour, F.; Garayev, M. On the fractional Bessel operator. (English) Zbl 07493955 Integral Transforms Spec. Funct. 33, No. 3, 230-246 (2022). MSC: 47-XX 35K57 33C10 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{M. Garayev}, Integral Transforms Spec. Funct. 33, No. 3, 230--246 (2022; Zbl 07493955) Full Text: DOI
Carrizo Vergara, Ricardo; Allard, Denis; Desassis, Nicolas A general framework for SPDE-based stationary random fields. (English) Zbl 07467712 Bernoulli 28, No. 1, 1-32 (2022). MSC: 62Mxx 60Gxx 86Axx PDFBibTeX XMLCite \textit{R. Carrizo Vergara} et al., Bernoulli 28, No. 1, 1--32 (2022; Zbl 07467712) Full Text: DOI arXiv Link
Ansari, Alireza; Askari, Hassan Asymptotic analysis of the Wright function with a large parameter. (English) Zbl 1487.33016 J. Math. Anal. Appl. 507, No. 1, Article ID 125731, 18 p. (2022). Reviewer: Sergei V. Rogosin (Minsk) MSC: 33E12 30D10 PDFBibTeX XMLCite \textit{A. Ansari} and \textit{H. Askari}, J. Math. Anal. Appl. 507, No. 1, Article ID 125731, 18 p. (2022; Zbl 1487.33016) Full Text: DOI
Singh, Jagdev; Kumar, Devendra; Purohit, Sunil Dutt; Mishra, Aditya Mani; Bohra, Mahesh An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory. (English) Zbl 07776036 Numer. Methods Partial Differ. Equations 37, No. 2, 1631-1651 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Singh} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1631--1651 (2021; Zbl 07776036) Full Text: DOI
Hendy, Ahmed S.; Zaky, Mahmoud A. Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation. (English) Zbl 1517.35206 Nonlinear Dyn. 103, No. 3, 2493-2507 (2021). MSC: 35Q55 35R11 65N30 PDFBibTeX XMLCite \textit{A. S. Hendy} and \textit{M. A. Zaky}, Nonlinear Dyn. 103, No. 3, 2493--2507 (2021; Zbl 1517.35206) 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
Gu, Caihong; Tang, Yanbin Chaotic characterization of one dimensional stochastic fractional heat equation. (English) Zbl 1498.60259 Chaos Solitons Fractals 145, Article ID 110780, 10 p. (2021). MSC: 60H15 35R60 60G60 PDFBibTeX XMLCite \textit{C. Gu} and \textit{Y. Tang}, Chaos Solitons Fractals 145, Article ID 110780, 10 p. (2021; Zbl 1498.60259) Full Text: DOI
Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan A class of time-fractional Dirac type operators. (English) Zbl 1505.47050 Chaos Solitons Fractals 143, Article ID 110590, 15 p. (2021). MSC: 47G20 35R11 35R30 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Chaos Solitons Fractals 143, Article ID 110590, 15 p. (2021; Zbl 1505.47050) Full Text: DOI
Chen, Le; Hu, Yaozhong; Nualart, David Regularity and strict positivity of densities for the nonlinear stochastic heat equation. (English) Zbl 1494.60001 Memoirs of the American Mathematical Society 1340. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5000-7/pbk; 978-1-4704-6809-5/ebook). v, 102 p. (2021). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60-02 60H15 60G60 35R60 PDFBibTeX XMLCite \textit{L. Chen} et al., Regularity and strict positivity of densities for the nonlinear stochastic heat equation. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1494.60001) Full Text: DOI arXiv
Khushtova, F. G. Third boundary value problem in a half-strip for the fractional diffusion equation. (English. Russian original) Zbl 1485.35394 Differ. Equ. 57, No. 12, 1610-1618 (2021); translation from Differ. Uravn. 57, No. 12, 1635-1643 (2021). MSC: 35R11 35A01 35A02 35C15 PDFBibTeX XMLCite \textit{F. G. Khushtova}, Differ. Equ. 57, No. 12, 1610--1618 (2021; Zbl 1485.35394); translation from Differ. Uravn. 57, No. 12, 1635--1643 (2021) Full Text: DOI
Kumar Mishra, Hradyesh; Pandey, Rishi Kumar Time-fractional nonlinear dispersive type of the Zakharov-Kuznetsov equation via HAFSTM. (English) Zbl 1490.35521 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 97-110 (2021). MSC: 35R11 65M99 35Q53 PDFBibTeX XMLCite \textit{H. Kumar Mishra} and \textit{R. K. Pandey}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 97--110 (2021; Zbl 1490.35521) Full Text: DOI
Gajda, Janusz; Beghin, Luisa Prabhakar Lévy processes. (English) Zbl 1495.60036 Stat. Probab. Lett. 178, Article ID 109162, 9 p. (2021). MSC: 60G51 26A33 33E12 60G52 PDFBibTeX XMLCite \textit{J. Gajda} and \textit{L. Beghin}, Stat. Probab. Lett. 178, Article ID 109162, 9 p. (2021; Zbl 1495.60036) Full Text: DOI
Liu, Songshu; Feng, Lixin; Zhang, Guilai An inverse source problem of space-fractional diffusion equation. (English) Zbl 1476.35333 Bull. Malays. Math. Sci. Soc. (2) 44, No. 6, 4405-4424 (2021). MSC: 35R30 35K15 35R11 PDFBibTeX XMLCite \textit{S. Liu} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 6, 4405--4424 (2021; Zbl 1476.35333) 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
Abedini, Ayub; Ivaz, Karim; Shahmorad, Sedaghat; Dadvand, Abdolrahman Numerical solution of the time-fractional Navier-Stokes equations for incompressible flow in a lid-driven cavity. (English) Zbl 1476.35151 Comput. Appl. Math. 40, No. 1, Paper No. 34, 39 p. (2021). MSC: 35N10 76D05 35Q30 65N40 PDFBibTeX XMLCite \textit{A. Abedini} et al., Comput. Appl. Math. 40, No. 1, Paper No. 34, 39 p. (2021; Zbl 1476.35151) Full Text: DOI
Shao, Xin-Hui; Li, Yu-Han; Shen, Hai-Long Quasi-Toeplitz trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1500.65047 J. Sci. Comput. 89, No. 1, Paper No. 10, 24 p. (2021). MSC: 65M06 65N06 15B05 15A18 65F08 65F10 60K50 26A33 35R11 PDFBibTeX XMLCite \textit{X.-H. Shao} et al., J. Sci. Comput. 89, No. 1, Paper No. 10, 24 p. (2021; Zbl 1500.65047) Full Text: DOI
Sunthrayuth, Pongsakorn; Shah, Rasool; Zidan, A. M.; Khan, Shahbaz; Kafle, Jeevan The analysis of fractional-order Navier-Stokes model arising in the unsteady flow of a viscous fluid via Shehu transform. (English) Zbl 1486.35331 J. Funct. Spaces 2021, Article ID 1029196, 15 p. (2021). MSC: 35Q30 76D05 26A33 35R11 PDFBibTeX XMLCite \textit{P. Sunthrayuth} et al., J. Funct. Spaces 2021, Article ID 1029196, 15 p. (2021; Zbl 1486.35331) Full Text: DOI
Lenzi, E. K.; Evangelista, L. R. Space-time fractional diffusion equations in \(d\)-dimensions. (English) Zbl 1484.82044 J. Math. Phys. 62, No. 8, Article ID 083304, 8 p. (2021). MSC: 82C41 60K50 26A33 35R11 PDFBibTeX XMLCite \textit{E. K. Lenzi} and \textit{L. R. Evangelista}, J. Math. Phys. 62, No. 8, Article ID 083304, 8 p. (2021; Zbl 1484.82044) Full Text: DOI
Sposini, Vittoria; Vitali, Silvia; Paradisi, Paolo; Pagnini, Gianni Fractional diffusion and medium heterogeneity: the case of the continuous time random walk. (English) Zbl 1468.60127 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 275-286 (2021). MSC: 60K50 60K37 PDFBibTeX XMLCite \textit{V. Sposini} et al., SEMA SIMAI Springer Ser. 26, 275--286 (2021; Zbl 1468.60127) Full Text: DOI Link
Caserta, Arrigo; Garra, Roberto; Salusti, Ettore Some new exact results for non-linear space-fractional diffusivity equations. (English) Zbl 1472.35429 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 83-100 (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{A. Caserta} et al., SEMA SIMAI Springer Ser. 26, 83--100 (2021; Zbl 1472.35429) Full Text: DOI
Guerngar, Ngartelbaye; Nane, Erkan; Tinaztepe, Ramazan; Ulusoy, Suleyman; Van Wyk, Hans Werner Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation \(\partial_t^\beta u = -(-\Delta)^{\alpha /2}u -(-\Delta)^{\gamma /2}u\). (English) Zbl 1498.35572 Fract. Calc. Appl. Anal. 24, No. 3, 818-847 (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{N. Guerngar} et al., Fract. Calc. Appl. Anal. 24, No. 3, 818--847 (2021; Zbl 1498.35572) Full Text: DOI arXiv
Rasouli, S. M. M.; Jalalzadeh, S.; Moniz, P. V. Broadening quantum cosmology with a fractional whirl. (English) Zbl 1467.83020 Mod. Phys. Lett. A 36, No. 14, Article ID 2140005, 14 p. (2021). MSC: 83F05 35Q41 35R11 81Q05 PDFBibTeX XMLCite \textit{S. M. M. Rasouli} et al., Mod. Phys. Lett. A 36, No. 14, Article ID 2140005, 14 p. (2021; Zbl 1467.83020) Full Text: DOI arXiv
Consiglio, Armando; Mainardi, Francesco On the evolution of fractional diffusive waves. (English) Zbl 1469.35219 Ric. Mat. 70, No. 1, 21-33 (2021). MSC: 35R11 26A33 33E12 34A08 35-03 65D20 60J60 74J05 PDFBibTeX XMLCite \textit{A. Consiglio} and \textit{F. Mainardi}, Ric. Mat. 70, No. 1, 21--33 (2021; Zbl 1469.35219) Full Text: DOI arXiv
Durdiev, Durdimurod; Shishkina, Elina; Sitnik, Sergey The explicit formula for solution of anomalous diffusion equation in the multi-dimensional space. (English) Zbl 1468.35231 Lobachevskii J. Math. 42, No. 6, 1264-1273 (2021). MSC: 35R11 35K20 35R09 PDFBibTeX XMLCite \textit{D. Durdiev} et al., Lobachevskii J. Math. 42, No. 6, 1264--1273 (2021; Zbl 1468.35231) Full Text: DOI arXiv
Jesus, Carla; Sousa, Ercília Numerical solutions for asymmetric Lévy flights. (English) Zbl 1476.65173 Numer. Algorithms 87, No. 3, 967-999 (2021). MSC: 65M06 65M12 65M80 60G51 60G50 42A38 26A33 35R11 PDFBibTeX XMLCite \textit{C. Jesus} and \textit{E. Sousa}, Numer. Algorithms 87, No. 3, 967--999 (2021; Zbl 1476.65173) Full Text: DOI
Li, Qiang; Wang, Guotao; Wei, Mei Monotone iterative technique for time-space fractional diffusion equations involving delay. (English) Zbl 1466.35361 Nonlinear Anal., Model. Control 26, No. 2, 241-258 (2021). MSC: 35R11 35K20 26A33 47D06 PDFBibTeX XMLCite \textit{Q. Li} et al., Nonlinear Anal., Model. Control 26, No. 2, 241--258 (2021; Zbl 1466.35361) Full Text: DOI
Lin, Guoxing Describing NMR relaxation by effective phase diffusion equation. (English) Zbl 1469.78002 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021). MSC: 78A25 33E12 60G60 44A10 42A38 34A08 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021; Zbl 1469.78002) Full Text: DOI arXiv
Pagnini, Gianni; Vitali, Silvia Should I stay or should I go? Zero-size jumps in random walks for Lévy flights. (English) Zbl 1474.60124 Fract. Calc. Appl. Anal. 24, No. 1, 137-167 (2021). MSC: 60G50 60J60 60J25 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{S. Vitali}, Fract. Calc. Appl. Anal. 24, No. 1, 137--167 (2021; Zbl 1474.60124) Full Text: DOI arXiv
Dong, Jianping; Lu, Ying Infinite wall in the fractional quantum mechanics. (English) Zbl 1461.81030 J. Math. Phys. 62, No. 3, Article ID 032104, 13 p. (2021). MSC: 81Q05 35R11 47B06 81S40 46F10 12F20 35P05 PDFBibTeX XMLCite \textit{J. Dong} and \textit{Y. Lu}, J. Math. Phys. 62, No. 3, Article ID 032104, 13 p. (2021; Zbl 1461.81030) Full Text: DOI
Lopushansky, Andriy; Lopushansky, Oleh; Sharyn, Sergii Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation. (English) Zbl 1474.49082 Appl. Math. Comput. 390, Article ID 125589, 9 p. (2021). MSC: 49N45 35C05 35R11 35R30 49M41 PDFBibTeX XMLCite \textit{A. Lopushansky} et al., Appl. Math. Comput. 390, Article ID 125589, 9 p. (2021; Zbl 1474.49082) Full Text: DOI
Dipierro, Serena; Pellacci, Benedetta; Valdinoci, Enrico; Verzini, Gianmaria Time-fractional equations with reaction terms: fundamental solutions and asymptotics. (English) Zbl 1458.35448 Discrete Contin. Dyn. Syst. 41, No. 1, 257-275 (2021). MSC: 35R11 35C15 35B40 35K57 35K08 26A33 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 257--275 (2021; Zbl 1458.35448) Full Text: DOI arXiv
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
Boukaram, Wajih; Lucchesi, Marco; Turkiyyah, George; Le Maître, Olivier; Knio, Omar; Keyes, David Hierarchical matrix approximations for space-fractional diffusion equations. (English) Zbl 1506.65142 Comput. Methods Appl. Mech. Eng. 369, Article ID 113191, 21 p. (2020). MSC: 65M22 65Y10 PDFBibTeX XMLCite \textit{W. Boukaram} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113191, 21 p. (2020; Zbl 1506.65142) Full Text: DOI HAL
Plekhanova, M. V.; Shuklina, A. F. Mixed control for linear infinite-dimensional systems of fractional order. (Russian. English summary) Zbl 1471.93148 Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 1, 32-43 (2020). MSC: 93C35 93C05 93C15 26A33 PDFBibTeX XMLCite \textit{M. V. Plekhanova} and \textit{A. F. Shuklina}, Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 1, 32--43 (2020; Zbl 1471.93148) Full Text: DOI MNR
Emamirad, Hassan; Rougirel, Arnaud Feynman path formula for the time fractional Schrödinger equation. (English) Zbl 1451.35150 Discrete Contin. Dyn. Syst., Ser. S 13, No. 12, 3391-3400 (2020). MSC: 35Q41 81Q30 26A33 PDFBibTeX XMLCite \textit{H. Emamirad} and \textit{A. Rougirel}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 12, 3391--3400 (2020; Zbl 1451.35150) Full Text: DOI
Tomovski, Živorad; Dubbeldam, Johan L. A.; Korbel, Jan Applications of Hilfer-Prabhakar operator to option pricing financial model. (English) Zbl 1474.91213 Fract. Calc. Appl. Anal. 23, No. 4, 996-1012 (2020). MSC: 91G20 35Q91 35R11 91G30 PDFBibTeX XMLCite \textit{Ž. Tomovski} et al., Fract. Calc. Appl. Anal. 23, No. 4, 996--1012 (2020; Zbl 1474.91213) Full Text: DOI
Aliahmadi, Hazhir; Tavakoli-Kakhki, Mahsan; Khaloozadeh, Hamid Option pricing under finite moment log stable process in a regulated market: a generalized fractional path integral formulation and Monte Carlo based simulation. (English) Zbl 1508.91547 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105345, 21 p. (2020). MSC: 91G20 91G80 91B80 26A33 PDFBibTeX XMLCite \textit{H. Aliahmadi} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105345, 21 p. (2020; Zbl 1508.91547) Full Text: DOI
Trong, Dang Duc; Dien, Nguyen Minh; Viet, Tran Quoc Global solution of space-fractional diffusion equations with nonlinear reaction source terms. (English) Zbl 1450.35281 Appl. Anal. 99, No. 15, 2707-2737 (2020). MSC: 35R11 35R25 35R30 35K15 35K57 65J20 PDFBibTeX XMLCite \textit{D. D. Trong} et al., Appl. Anal. 99, No. 15, 2707--2737 (2020; Zbl 1450.35281) Full Text: DOI
Bazzaev, Aleksandr K. On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions. (English) Zbl 1441.65072 Sib. Èlektron. Mat. Izv. 17, 738-752 (2020). MSC: 65M12 35R11 65M06 PDFBibTeX XMLCite \textit{A. K. Bazzaev}, Sib. Èlektron. Mat. Izv. 17, 738--752 (2020; Zbl 1441.65072) Full Text: DOI
Helin, Tapio; Lassas, Matti; Ylinen, Lauri; Zhang, Zhidong Inverse problems for heat equation and space-time fractional diffusion equation with one measurement. (English) Zbl 1443.35168 J. Differ. Equations 269, No. 9, 7498-7528 (2020). MSC: 35R11 35R30 PDFBibTeX XMLCite \textit{T. Helin} et al., J. Differ. Equations 269, No. 9, 7498--7528 (2020; Zbl 1443.35168) Full Text: DOI arXiv
Diez-Izagirre, Xuban; Cuesta, Carlota M. Vanishing viscosity limit of a conservation law regularised by a Riesz-Feller operator. (English) Zbl 1441.35165 Monatsh. Math. 192, No. 3, 513-550 (2020). MSC: 35L65 35L60 35S30 35L45 35B25 35R11 35C07 PDFBibTeX XMLCite \textit{X. Diez-Izagirre} and \textit{C. M. Cuesta}, Monatsh. Math. 192, No. 3, 513--550 (2020; Zbl 1441.35165) Full Text: DOI arXiv
Joshi, Hardik; Jha, Brajesh Kumar Fractional-order mathematical model for calcium distribution in nerve cells. (English) Zbl 1449.35443 Comput. Appl. Math. 39, No. 2, Paper No. 56, 22 p. (2020). MSC: 35R11 92B05 97M10 PDFBibTeX XMLCite \textit{H. Joshi} and \textit{B. K. Jha}, Comput. Appl. Math. 39, No. 2, Paper No. 56, 22 p. (2020; Zbl 1449.35443) Full Text: DOI
Bhatt, H. P.; Khaliq, A. Q. M.; Furati, K. M. Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions. (English) Zbl 1437.65089 Numer. Algorithms 83, No. 4, 1373-1397 (2020). MSC: 65M06 65F05 26A33 35R11 35K57 80A32 35Q79 65M12 65M15 PDFBibTeX XMLCite \textit{H. P. Bhatt} et al., Numer. Algorithms 83, No. 4, 1373--1397 (2020; Zbl 1437.65089) Full Text: DOI
Lanoiselée, Yann; Grebenkov, Denis S. Non-Gaussian diffusion of mixed origins. (English) Zbl 1509.60149 J. Phys. A, Math. Theor. 52, No. 30, Article ID 304001, 19 p. (2019). MSC: 60J70 60J60 PDFBibTeX XMLCite \textit{Y. Lanoiselée} and \textit{D. S. Grebenkov}, J. Phys. A, Math. Theor. 52, No. 30, Article ID 304001, 19 p. (2019; Zbl 1509.60149) Full Text: DOI arXiv
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
Abdel-Rehim, E. A. From the space-time fractional integral of the continuous time random walk to the space-time fractional diffusion equations, a short proof and simulation. (English) Zbl 07569409 Physica A 531, Article ID 121547, 10 p. (2019). MSC: 82-XX 26A33 35L05 60J60 45K05 47G30 33E20 65N06 60G52 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Physica A 531, Article ID 121547, 10 p. (2019; Zbl 07569409) Full Text: DOI
Sales Teodoro, G.; Tenreiro Machado, J. A.; de Oliveira, E. Capelas A review of definitions of fractional derivatives and other operators. (English) Zbl 1452.26008 J. Comput. Phys. 388, 195-208 (2019). MSC: 26A33 26A24 26-02 PDFBibTeX XMLCite \textit{G. Sales Teodoro} et al., J. Comput. Phys. 388, 195--208 (2019; Zbl 1452.26008) Full Text: DOI
Bazzaev, Aleksandr Kazbekovich; Tsopanov, Igor’ Dzastemirovich Difference schemes for partial differential equations of fractional order. (Russian. English summary) Zbl 1463.65270 Ufim. Mat. Zh. 11, No. 2, 19-35 (2019); translation in Ufa Math. J. 11, No. 2, 19-33 (2019). MSC: 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{A. K. Bazzaev} and \textit{I. D. Tsopanov}, Ufim. Mat. Zh. 11, No. 2, 19--35 (2019; Zbl 1463.65270); translation in Ufa Math. J. 11, No. 2, 19--33 (2019) Full Text: DOI MNR
dos Santos, Maike A. F. Analytic approaches of the anomalous diffusion: a review. (English) Zbl 1448.60193 Chaos Solitons Fractals 124, 86-96 (2019). MSC: 60K50 60-02 82C31 82C41 PDFBibTeX XMLCite \textit{M. A. F. dos Santos}, Chaos Solitons Fractals 124, 86--96 (2019; Zbl 1448.60193) Full Text: DOI arXiv
Feng, Libo; Liu, Fawang; Turner, Ian Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. (English) Zbl 1464.65119 Commun. Nonlinear Sci. Numer. Simul. 70, 354-371 (2019). MSC: 65M60 PDFBibTeX XMLCite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 354--371 (2019; Zbl 1464.65119) Full Text: DOI Link
Płociniczak, Łukasz Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. (English) Zbl 1509.35357 Commun. Nonlinear Sci. Numer. Simul. 76, 66-70 (2019). MSC: 35R11 35K59 35R09 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, Commun. Nonlinear Sci. Numer. Simul. 76, 66--70 (2019; Zbl 1509.35357) Full Text: DOI arXiv
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
Sin, Chung-Sik; O, Hyong-Chol; Kim, Sang-Mun Diffusion equations with general nonlocal time and space derivatives. (English) Zbl 1443.60076 Comput. Math. Appl. 78, No. 10, 3268-3284 (2019). MSC: 60J60 35R11 60G51 60J70 PDFBibTeX XMLCite \textit{C.-S. Sin} et al., Comput. Math. Appl. 78, No. 10, 3268--3284 (2019; Zbl 1443.60076) Full Text: DOI arXiv
Zhang, Jun; Chen, Hu; Lin, Shimin; Wang, Jinrong Finite difference/spectral approximation for a time-space fractional equation on two and three space dimensions. (English) Zbl 1442.65185 Comput. Math. Appl. 78, No. 6, 1937-1946 (2019). MSC: 65M06 35R11 65M70 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Math. Appl. 78, No. 6, 1937--1946 (2019; Zbl 1442.65185) 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
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Minh, Nguyen Dang Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem. (English) Zbl 1431.65157 J. Inverse Ill-Posed Probl. 27, No. 6, 759-775 (2019). MSC: 65M32 35R30 47A52 35R11 65M30 PDFBibTeX XMLCite \textit{D. D. Trong} et al., J. Inverse Ill-Posed Probl. 27, No. 6, 759--775 (2019; Zbl 1431.65157) Full Text: DOI
Chen, Le; Hu, Yaozhong; Nualart, David Nonlinear stochastic time-fractional slow and fast diffusion equations on \(\mathbb{R}^d\). (English) Zbl 1427.60119 Stochastic Processes Appl. 129, No. 12, 5073-5112 (2019). MSC: 60H15 60G60 35R60 PDFBibTeX XMLCite \textit{L. Chen} et al., Stochastic Processes Appl. 129, No. 12, 5073--5112 (2019; Zbl 1427.60119) Full Text: DOI arXiv
Cai, Ruiyang; Ge, Fudong; Chen, YangQuan; Kou, Chunhai Regional observability for Hadamard-Caputo time fractional distributed parameter systems. (English) Zbl 1428.34011 Appl. Math. Comput. 360, 190-202 (2019). MSC: 34A08 93B07 93C20 PDFBibTeX XMLCite \textit{R. Cai} et al., Appl. Math. Comput. 360, 190--202 (2019; Zbl 1428.34011) Full Text: DOI
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Nguyen, Dang Minh Optimal regularization for an unknown source of space-fractional diffusion equation. (English) Zbl 1429.65221 Appl. Math. Comput. 349, 184-206 (2019). MSC: 65M32 35R11 47A52 PDFBibTeX XMLCite \textit{D. D. Trong} et al., Appl. Math. Comput. 349, 184--206 (2019; Zbl 1429.65221) Full Text: DOI
Mesloub, Said; Aldosari, Faten Even higher order fractional initial boundary value problem with nonlocal constraints of purely integral type. (English) Zbl 1423.35406 Symmetry 11, No. 3, Paper No. 305, 12 p. (2019). MSC: 35R11 35A25 35A01 35A02 PDFBibTeX XMLCite \textit{S. Mesloub} and \textit{F. Aldosari}, Symmetry 11, No. 3, Paper No. 305, 12 p. (2019; Zbl 1423.35406) Full Text: DOI
Li, Cheng-Gang; Li, Miao; Piskarev, Sergey; Meerschaert, Mark M. The fractional d’Alembert’s formulas. (English) Zbl 1433.45008 J. Funct. Anal. 277, No. 12, Article ID 108279, 35 p. (2019). Reviewer: Rodica Luca (Iaşi) MSC: 45K05 45N05 35R11 26A33 PDFBibTeX XMLCite \textit{C.-G. Li} et al., J. Funct. Anal. 277, No. 12, Article ID 108279, 35 p. (2019; Zbl 1433.45008) Full Text: DOI arXiv
Li, Zhiyuan; Cheng, Xing; Li, Gongsheng An inverse problem in time-fractional diffusion equations with nonlinear boundary condition. (English) Zbl 1480.60240 J. Math. Phys. 60, No. 9, 091502, 18 p. (2019). MSC: 60J60 60G22 14K25 45C05 45M05 45Q05 26A16 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Math. Phys. 60, No. 9, 091502, 18 p. (2019; Zbl 1480.60240) Full Text: DOI
Acosta, Gabriel; Bersetche, Francisco M.; Borthagaray, Juan Pablo Finite element approximations for fractional evolution problems. (English) Zbl 1426.65145 Fract. Calc. Appl. Anal. 22, No. 3, 767-794 (2019). MSC: 65M60 65R20 35R11 PDFBibTeX XMLCite \textit{G. Acosta} et al., Fract. Calc. Appl. Anal. 22, No. 3, 767--794 (2019; Zbl 1426.65145) Full Text: DOI arXiv
Li, Zhiyuan; Yamamoto, Masahiro Unique continuation principle for the one-dimensional time-fractional diffusion equation. (English) Zbl 1423.35404 Fract. Calc. Appl. Anal. 22, No. 3, 644-657 (2019). MSC: 35R11 35B53 44A10 PDFBibTeX XMLCite \textit{Z. Li} and \textit{M. Yamamoto}, Fract. Calc. Appl. Anal. 22, No. 3, 644--657 (2019; Zbl 1423.35404) Full Text: DOI arXiv
Nolan, John P. Stable distributions and Green’s functions for fractional diffusions. (English) Zbl 1423.35408 Fract. Calc. Appl. Anal. 22, No. 1, 128-138 (2019). MSC: 35R11 35K57 60E07 PDFBibTeX XMLCite \textit{J. P. Nolan}, Fract. Calc. Appl. Anal. 22, No. 1, 128--138 (2019; Zbl 1423.35408) Full Text: DOI
Abdel-Rehim, Enstar A. From power laws to fractional diffusion processes with and without external forces, the non direct way. (English) Zbl 1436.60074 Fract. Calc. Appl. Anal. 22, No. 1, 60-77 (2019). MSC: 60J60 35L05 45K05 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Fract. Calc. Appl. Anal. 22, No. 1, 60--77 (2019; Zbl 1436.60074) Full Text: DOI
Luchko, Yu. Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. (English) Zbl 1461.35007 Theory Probab. Math. Stat. 98, 127-147 (2019) and Teor. Jmovirn. Mat. Stat. 98, 121-141 (2018). MSC: 35A08 35R11 26A33 35C05 35E05 35L05 45K05 60E99 PDFBibTeX XMLCite \textit{Yu. Luchko}, Theory Probab. Math. Stat. 98, 127--147 (2019; Zbl 1461.35007) Full Text: DOI arXiv
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