Li, Lijuan; Zhou, Jun Qualitative analysis of solutions to a nonlocal Choquard-Kirchhoff diffusion equations in \(\mathbb{R}^N\). (English) Zbl 07781851 Math. Methods Appl. Sci. 46, No. 3, 3255-3284 (2023). MSC: 35B40 35B44 35K15 35K92 35R11 PDFBibTeX XMLCite \textit{L. Li} and \textit{J. Zhou}, Math. Methods Appl. Sci. 46, No. 3, 3255--3284 (2023; Zbl 07781851) Full Text: DOI
Neves, Wladimir; Orlando, Dionicio On fractional Benney type systems. (English) Zbl 1527.35476 SIAM J. Math. Anal. 55, No. 6, 7296-7327 (2023). MSC: 35R11 35D30 35Q60 35Q55 PDFBibTeX XMLCite \textit{W. Neves} and \textit{D. Orlando}, SIAM J. Math. Anal. 55, No. 6, 7296--7327 (2023; Zbl 1527.35476) Full Text: DOI arXiv
Jiang, Chao; Lei, Yuzhu; Liu, Zuhan; Zhou, Ling Existence and asymptotic stability in a fractional chemotaxis system with competitive kinetics. (English) Zbl 1523.35045 Appl. Anal. 102, No. 12, 3283-3314 (2023). MSC: 35B40 35K51 35K59 35R11 92C17 PDFBibTeX XMLCite \textit{C. Jiang} et al., Appl. Anal. 102, No. 12, 3283--3314 (2023; Zbl 1523.35045) Full Text: DOI
Carrião, Paulo Cesar; Lehrer, Raquel; Vicente, André Unstable ground state and blow up result of nonlocal Klein-Gordon equations. (English) Zbl 1521.35056 J. Dyn. Differ. Equations 35, No. 3, 1917-1945 (2023). MSC: 35B44 35L15 35L71 35R11 PDFBibTeX XMLCite \textit{P. C. Carrião} et al., J. Dyn. Differ. Equations 35, No. 3, 1917--1945 (2023; Zbl 1521.35056) Full Text: DOI
Li, Na; Fang, Shaomei Global solutions of a fractional semilinear pseudo-parabolic equation with nonlocal source. (English) Zbl 1521.35189 Appl. Anal. 102, No. 9, 2486-2499 (2023). MSC: 35R11 35K58 35K70 35R09 PDFBibTeX XMLCite \textit{N. Li} and \textit{S. Fang}, Appl. Anal. 102, No. 9, 2486--2499 (2023; Zbl 1521.35189) Full Text: DOI
Bonforte, Matteo; Ibarrondo, Peio; Ispizua, Mikel The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains. (English) Zbl 1518.35440 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1090-1142 (2023). MSC: 35K55 35A02 35B45 35B65 35K61 35K67 35R11 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1090--1142 (2023; Zbl 1518.35440) Full Text: DOI arXiv
Rasouli, S. H. On a minimization problem involving fractional Sobolev spaces on Nehari manifold. (English) Zbl 1524.46050 Afr. Mat. 34, No. 2, Paper No. 30, 12 p. (2023). MSC: 46E35 58E30 47J30 58J05 PDFBibTeX XMLCite \textit{S. H. Rasouli}, Afr. Mat. 34, No. 2, Paper No. 30, 12 p. (2023; Zbl 1524.46050) Full Text: DOI
Borikhanov, Meiirkhan B.; Ruzhansky, Michael; Torebek, Berikbol T. Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation. (English) Zbl 1509.35338 Fract. Calc. Appl. Anal. 26, No. 1, 111-146 (2023). MSC: 35R11 26A33 35B51 35B44 35K57 PDFBibTeX XMLCite \textit{M. B. Borikhanov} et al., Fract. Calc. Appl. Anal. 26, No. 1, 111--146 (2023; Zbl 1509.35338) Full Text: DOI arXiv
Yang, Yi; Huang, Jin; Wang, Yifei; Deng, Ting; Li, Hu Fast \(Q1\) finite element for two-dimensional integral fractional Laplacian. (English) Zbl 1511.65131 Appl. Math. Comput. 443, Article ID 127757, 14 p. (2023). MSC: 65N30 35J05 35R11 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 443, Article ID 127757, 14 p. (2023; Zbl 1511.65131) Full Text: DOI
Jiang, Chao; Lei, Yuzhu; Liu, Zuhan; Zhang, Weiyi Spreading speed in a fractional attraction-repulsion chemotaxis system with logistic source. (English) Zbl 1510.35056 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113232, 38 p. (2023). MSC: 35B40 35C07 35K20 35K59 35R11 92C17 PDFBibTeX XMLCite \textit{C. Jiang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113232, 38 p. (2023; Zbl 1510.35056) Full Text: DOI
Solera, Marcos; Toledo, Julián Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions. (English) Zbl 1511.35226 J. Evol. Equ. 23, No. 2, Paper No. 24, 83 p. (2023). MSC: 35K92 35K61 47H06 47J35 PDFBibTeX XMLCite \textit{M. Solera} and \textit{J. Toledo}, J. Evol. Equ. 23, No. 2, Paper No. 24, 83 p. (2023; Zbl 1511.35226) Full Text: DOI arXiv
Li, Li An inverse problem for the fractional porous medium equation. (English) Zbl 1509.35230 Asymptotic Anal. 131, No. 3-4, 583-594 (2023). MSC: 35Q35 76S05 76N15 74F10 26A33 35R30 35R11 PDFBibTeX XMLCite \textit{L. Li}, Asymptotic Anal. 131, No. 3--4, 583--594 (2023; Zbl 1509.35230) Full Text: DOI arXiv
Alazard, Thomas; Nguyen, Quoc-Hung Endpoint Sobolev theory for the Muskat equation. (English) Zbl 1509.35206 Commun. Math. Phys. 397, No. 3, 1043-1102 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76S05 76T06 76D27 35B65 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{T. Alazard} and \textit{Q.-H. Nguyen}, Commun. Math. Phys. 397, No. 3, 1043--1102 (2023; Zbl 1509.35206) Full Text: DOI arXiv
Boudjeriou, Tahir Asymptotic behavior of parabolic nonlocal equations in cylinders becoming unbounded. (English) Zbl 1507.35035 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 19, 25 p. (2023). MSC: 35B40 35K20 35R11 PDFBibTeX XMLCite \textit{T. Boudjeriou}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 19, 25 p. (2023; Zbl 1507.35035) Full Text: DOI
Torres Ledesma, César E.; Nyamoradi, Nemat \((k, \psi)\)-Hilfer impulsive variational problem. (English) Zbl 1524.34026 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 42, 34 p. (2023). MSC: 34A08 26A33 34A12 34A37 47J30 PDFBibTeX XMLCite \textit{C. E. Torres Ledesma} and \textit{N. Nyamoradi}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 42, 34 p. (2023; Zbl 1524.34026) Full Text: DOI
Zhang, Chang; Meng, Fengjuan; Liu, Cuncai The well-posedness and long-time behavior of the nonlocal diffusion porous medium equations with nonlinear term. (English) Zbl 07780839 Math. Methods Appl. Sci. 45, No. 8, 4578-4596 (2022). MSC: 35B40 35B41 35K20 35K58 35R11 PDFBibTeX XMLCite \textit{C. Zhang} et al., Math. Methods Appl. Sci. 45, No. 8, 4578--4596 (2022; Zbl 07780839) Full Text: DOI
Fu, Yongqiang; Zhang, Xiaoju Global existence, asymptotic behavior, and regularity of solutions for time-space fractional Rosenau equations. (English) Zbl 07775970 Math. Methods Appl. Sci. 45, No. 13, 7992-8010 (2022). MSC: 35R11 35A01 35B40 35L20 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{X. Zhang}, Math. Methods Appl. Sci. 45, No. 13, 7992--8010 (2022; Zbl 07775970) Full Text: DOI
Fu, Yongqiang; Zhang, Xiaoju Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations. (English) Zbl 1523.35283 Topol. Methods Nonlinear Anal. 60, No. 2, 415-440 (2022). MSC: 35R11 26A33 35B44 35K15 35K90 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{X. Zhang}, Topol. Methods Nonlinear Anal. 60, No. 2, 415--440 (2022; Zbl 1523.35283) Full Text: DOI Link
Molica Bisci, Giovanni; Servadei, Raffaella; Zhang, Binlin Monotonicity properties of the eigenvalues of nonlocal fractional operators and their applications. (English) Zbl 1505.35280 Electron. J. Differ. Equ. 2022, Paper No. 85, 21 p. (2022). MSC: 35P05 35A15 35R09 35R11 35S15 45G05 47G20 PDFBibTeX XMLCite \textit{G. Molica Bisci} et al., Electron. J. Differ. Equ. 2022, Paper No. 85, 21 p. (2022; Zbl 1505.35280) Full Text: Link
Franzina, Giovanni; Licheri, Danilo A non-local semilinear eigenvalue problem. (English) Zbl 1503.35120 Fract. Calc. Appl. Anal. 25, No. 6, 2193-2221 (2022). MSC: 35P30 35R11 26A33 PDFBibTeX XMLCite \textit{G. Franzina} and \textit{D. Licheri}, Fract. Calc. Appl. Anal. 25, No. 6, 2193--2221 (2022; Zbl 1503.35120) Full Text: DOI arXiv
Torres Ledesma, César E.; Nyamoradi, Nemat \((k,\psi)\)-Hilfer variational problem. (English) Zbl 1515.26014 J. Elliptic Parabol. Equ. 8, No. 2, 681-709 (2022). MSC: 26A33 34A08 34A12 PDFBibTeX XMLCite \textit{C. E. Torres Ledesma} and \textit{N. Nyamoradi}, J. Elliptic Parabol. Equ. 8, No. 2, 681--709 (2022; Zbl 1515.26014) Full Text: DOI
Attiogbe, Anoumou; Fall, Mouhamed Moustapha; Thiam, El Hadji Abdoulaye Nonlocal diffusion of smooth sets. (English) Zbl 1496.35417 Math. Eng. (Springfield) 4, No. 2, Paper No. 9, 22 p. (2022). MSC: 35R11 35K15 53E10 PDFBibTeX XMLCite \textit{A. Attiogbe} et al., Math. Eng. (Springfield) 4, No. 2, Paper No. 9, 22 p. (2022; Zbl 1496.35417) Full Text: DOI arXiv
Gu, Yiqi; Ng, Michael K. Deep Ritz method for the spectral fractional Laplacian equation using the Caffarelli-Silvestre extension. (English) Zbl 1492.65309 SIAM J. Sci. Comput. 44, No. 4, A2018-A2036 (2022). MSC: 65N30 65N15 65C05 68T07 41A25 PDFBibTeX XMLCite \textit{Y. Gu} and \textit{M. K. Ng}, SIAM J. Sci. Comput. 44, No. 4, A2018--A2036 (2022; Zbl 1492.65309) Full Text: DOI arXiv
Li, Li An inverse problem for a fractional diffusion equation with fractional power type nonlinearities. (English) Zbl 1487.35450 Inverse Probl. Imaging 16, No. 3, 613-624 (2022). MSC: 35R30 35K20 35K58 35R11 PDFBibTeX XMLCite \textit{L. Li}, Inverse Probl. Imaging 16, No. 3, 613--624 (2022; Zbl 1487.35450) Full Text: DOI arXiv
Aparcana, Aldryn; Castillo, Ricardo; Guzmán-Rea, Omar; Loayza, Miguel Local existence for evolution equations with nonlocal term in time and singular initial data. (English) Zbl 1486.35410 Z. Angew. Math. Phys. 73, No. 2, Paper No. 85, 19 p. (2022). MSC: 35R11 35B33 35K15 35K57 35K58 35R05 35R09 PDFBibTeX XMLCite \textit{A. Aparcana} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 85, 19 p. (2022; Zbl 1486.35410) Full Text: DOI
Abdelwahed, Mohamed; BenSaleh, Mohamed; Chorfi, Nejmeddine; Hassine, Maatoug An inverse problem study related to a fractional diffusion equation. (English) Zbl 07503671 J. Math. Anal. Appl. 512, No. 2, Article ID 126145, 20 p. (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Abdelwahed} et al., J. Math. Anal. Appl. 512, No. 2, Article ID 126145, 20 p. (2022; Zbl 07503671) Full Text: DOI
Lei, Yuzhu; Liu, Zuhan; Zhou, Ling Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source. (English) Zbl 1483.35031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112750, 21 p. (2022). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Lei} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112750, 21 p. (2022; Zbl 1483.35031) Full Text: DOI
Lei, Yuzhu; Liu, Zuhan; Zhou, Ling Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source. (English) Zbl 1502.35180 Nonlinear Anal., Real World Appl. 63, Article ID 103389, 47 p. (2022). MSC: 35Q92 92C17 76D05 35A01 35D30 35B65 35B40 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Lei} et al., Nonlinear Anal., Real World Appl. 63, Article ID 103389, 47 p. (2022; Zbl 1502.35180) Full Text: DOI
Dai, Xiaoqiang; Han, Jiangbo; Lin, Qiang; Tian, Xueteng Anomalous pseudo-parabolic Kirchhoff-type dynamical model. (English) Zbl 1479.35544 Adv. Nonlinear Anal. 11, 503-534 (2022). MSC: 35K70 35B40 35B44 35K20 35K59 35R11 PDFBibTeX XMLCite \textit{X. Dai} et al., Adv. Nonlinear Anal. 11, 503--534 (2022; Zbl 1479.35544) Full Text: DOI
Rasouli, Sayyed Hashem A note on the stability of nonnegative solutions to classes of fractional Laplacian problems with concave nonlinearity. (English) Zbl 1501.35196 Appl. Math. E-Notes 21, 194-197 (2021). MSC: 35J61 35B35 PDFBibTeX XMLCite \textit{S. H. Rasouli}, Appl. Math. E-Notes 21, 194--197 (2021; Zbl 1501.35196) Full Text: Link
Oviedo, Byron Jiménez; Jiménez, Jeremías Ramírez Hydrostatic limit for the symmetric exclusion process with long jumps: super-diffusive case. (English) Zbl 1513.82007 Rev. Mat. Teor. Apl. 28, No. 1, 79-94 (2021). MSC: 82C22 60K35 34A08 PDFBibTeX XMLCite \textit{B. J. Oviedo} and \textit{J. R. Jiménez}, Rev. Mat. Teor. Apl. 28, No. 1, 79--94 (2021; Zbl 1513.82007) 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
Kamocki, Rafał Optimal control of a nonlinear PDE governed by fractional Laplacian. (English) Zbl 1486.49005 Appl. Math. Optim. 84, Suppl. 2, 1505-1519 (2021). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49J20 49K20 35R11 PDFBibTeX XMLCite \textit{R. Kamocki}, Appl. Math. Optim. 84, 1505--1519 (2021; Zbl 1486.49005) Full Text: DOI
Liu, Wenjun; Yu, Jiangyong; Li, Gang Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity. (English) Zbl 1480.35395 Discrete Contin. Dyn. Syst., Ser. S 14, No. 12, 4337-4366 (2021). MSC: 35R11 35A01 35B40 35B44 35K70 45K05 PDFBibTeX XMLCite \textit{W. Liu} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 12, 4337--4366 (2021; Zbl 1480.35395) Full Text: DOI
Alazard, Thomas; Nguyen, Quoc-Hung On the Cauchy problem for the Muskat equation with non-Lipschitz initial data. (English) Zbl 1477.35151 Commun. Partial Differ. Equations 46, No. 11, 2171-2212 (2021). MSC: 35Q35 76S05 76D27 35A01 35A02 35R35 PDFBibTeX XMLCite \textit{T. Alazard} and \textit{Q.-H. Nguyen}, Commun. Partial Differ. Equations 46, No. 11, 2171--2212 (2021; Zbl 1477.35151) Full Text: DOI arXiv
Boudjeriou, Tahir Existence and non-existence of global solutions for a nonlocal Choquard-Kirchhoff diffusion equations in \(\mathbb{R}^N \). (English) Zbl 1476.35299 Appl. Math. Optim. 84, Suppl. 1, S695-S732 (2021). MSC: 35R11 35B40 35B41 35B44 35K15 35K92 PDFBibTeX XMLCite \textit{T. Boudjeriou}, Appl. Math. Optim. 84, S695--S732 (2021; Zbl 1476.35299) Full Text: DOI
Bors, Dorota Optimal control of systems governed by fractional Laplacian in the minimax framework. (English) Zbl 1480.49011 Int. J. Control 94, No. 6, 1577-1587 (2021). Reviewer: Aygul Manapova (Ufa) MSC: 49J35 35R11 PDFBibTeX XMLCite \textit{D. Bors}, Int. J. Control 94, No. 6, 1577--1587 (2021; Zbl 1480.49011) Full Text: DOI
Otsmane, Sarah Asymptotically self-similar global solutions for a complex-valued quadratic heat equation with a generalized kernel. (English) Zbl 1470.35108 Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 46, 53 p. (2021). MSC: 35C06 35B40 35K08 35K45 35K58 35K65 PDFBibTeX XMLCite \textit{S. Otsmane}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 46, 53 p. (2021; Zbl 1470.35108) Full Text: DOI
Bayrami-Aminlouee, Masoud; Hesaaraki, Mahmoud Existence of a unique positive entropy solution to a singular fractional Laplacian. (English) Zbl 1466.35354 Complex Var. Elliptic Equ. 66, No. 5, 783-800 (2021). MSC: 35R11 35D40 35J75 35B09 35A01 PDFBibTeX XMLCite \textit{M. Bayrami-Aminlouee} and \textit{M. Hesaaraki}, Complex Var. Elliptic Equ. 66, No. 5, 783--800 (2021; Zbl 1466.35354) Full Text: DOI
Andrés, Fuensanta; Muñoz, Julio; Rosado, Jesús Optimal design problems governed by the nonlocal \(p\)-Laplacian equation. (English) Zbl 1462.49040 Math. Control Relat. Fields 11, No. 1, 119-141 (2021). MSC: 49J55 35D99 35J92 49J45 PDFBibTeX XMLCite \textit{F. Andrés} et al., Math. Control Relat. Fields 11, No. 1, 119--141 (2021; Zbl 1462.49040) Full Text: DOI
Kamocki, Rafał Existence of optimal solutions to Lagrange problems for ordinary control systems involving fractional Laplace operators. (English) Zbl 1473.49017 Optim. Lett. 15, No. 2, 779-801 (2021). Reviewer: Souvik Roy (Arlington) MSC: 49J45 35R11 PDFBibTeX XMLCite \textit{R. Kamocki}, Optim. Lett. 15, No. 2, 779--801 (2021; Zbl 1473.49017) Full Text: DOI
Xie, Minghong; Tan, Zhong; Wu, Zhonger Local existence and uniqueness of weak solutions to fractional pseudo-parabolic equation with singular potential. (English) Zbl 1458.35461 Appl. Math. Lett. 114, Article ID 106898, 10 p. (2021). MSC: 35R11 35K70 35D30 PDFBibTeX XMLCite \textit{M. Xie} et al., Appl. Math. Lett. 114, Article ID 106898, 10 p. (2021; Zbl 1458.35461) Full Text: DOI
Bernardin, C.; Gonçalves, P.; Jiménez-Oviedo, B. A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions. (English) Zbl 1456.35210 Arch. Ration. Mech. Anal. 239, No. 1, 1-48 (2021); correction ibid. 239, No. 1, 49-50 (2021). MSC: 35R11 35K57 35K20 35B40 82C22 35Q79 35D30 60K35 PDFBibTeX XMLCite \textit{C. Bernardin} et al., Arch. Ration. Mech. Anal. 239, No. 1, 1--48 (2021; Zbl 1456.35210) Full Text: DOI arXiv
Tan, Zhong; Xie, Minghong Global existence and blowup of solutions to semilinear fractional reaction-diffusion equation with singular potential. (English) Zbl 1451.35259 J. Math. Anal. Appl. 493, No. 2, Article ID 124548, 29 p. (2021). MSC: 35R11 35K57 35K67 35B44 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{M. Xie}, J. Math. Anal. Appl. 493, No. 2, Article ID 124548, 29 p. (2021; Zbl 1451.35259) Full Text: DOI
Lei, Yuzhu; Liu, Zuhan; Zhou, Ling Global existence and asymptotic behavior of periodic solutions to a fractional chemotaxis system on the weakly competitive case. (English) Zbl 1456.35217 Bull. Korean Math. Soc. 57, No. 5, 1269-1297 (2020). MSC: 35R11 35B40 92C17 92D25 35Q92 PDFBibTeX XMLCite \textit{Y. Lei} et al., Bull. Korean Math. Soc. 57, No. 5, 1269--1297 (2020; Zbl 1456.35217) Full Text: DOI
Villa-Morales, José Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion. (English) Zbl 1456.35224 Demonstr. Math. 53, 269-276 (2020). MSC: 35R11 35K58 35B20 35B35 45H05 47H10 PDFBibTeX XMLCite \textit{J. Villa-Morales}, Demonstr. Math. 53, 269--276 (2020; Zbl 1456.35224) Full Text: DOI
Röckner, Michael; Xie, Longjie; Zhang, Xicheng Superposition principle for non-local Fokker-Planck-Kolmogorov operators. (English) Zbl 1469.60196 Probab. Theory Relat. Fields 178, No. 3-4, 699-733 (2020). MSC: 60H10 60J76 35Q84 PDFBibTeX XMLCite \textit{M. Röckner} et al., Probab. Theory Relat. Fields 178, No. 3--4, 699--733 (2020; Zbl 1469.60196) Full Text: DOI arXiv
Kamocki, Rafał On a differential inclusion involving Dirichlet-Laplace operators of fractional orders. (English) Zbl 1451.35251 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4089-4106 (2020). MSC: 35R11 35R70 35J20 47J22 PDFBibTeX XMLCite \textit{R. Kamocki}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4089--4106 (2020; Zbl 1451.35251) Full Text: DOI
Vázquez, J. L. The evolution fractional p-Laplacian equation in \(\mathbb{R}^N\). Fundamental solution and asymptotic behaviour. (English) Zbl 1447.35205 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 112034, 31 p. (2020). MSC: 35K92 35K65 35R11 35A08 35B40 PDFBibTeX XMLCite \textit{J. L. Vázquez}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 112034, 31 p. (2020; Zbl 1447.35205) Full Text: DOI arXiv
Lin, Qiang; Tian, Xueteng; Xu, Runzhang; Zhang, Meina Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy. (English) Zbl 1448.35551 Discrete Contin. Dyn. Syst., Ser. S 13, No. 7, 2095-2107 (2020). MSC: 35R11 35L05 47G20 35B44 PDFBibTeX XMLCite \textit{Q. Lin} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 7, 2095--2107 (2020; Zbl 1448.35551) Full Text: DOI
Cusimano, Nicole; Del Teso, Félix; Gerardo-Giorda, Luca Numerical approximations for fractional elliptic equations via the method of semigroups. (English) Zbl 1452.35237 ESAIM, Math. Model. Numer. Anal. 54, No. 3, 751-774 (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 35R11 35S15 65R20 65N15 65N25 41A55 26A33 35J25 PDFBibTeX XMLCite \textit{N. Cusimano} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 3, 751--774 (2020; Zbl 1452.35237) Full Text: DOI arXiv
Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio Uniqueness of very weak solutions for a fractional filtration equation. (English) Zbl 1439.35531 Adv. Math. 365, Article ID 107041, 35 p. (2020). MSC: 35R11 35D30 76S05 PDFBibTeX XMLCite \textit{G. Grillo} et al., Adv. Math. 365, Article ID 107041, 35 p. (2020; Zbl 1439.35531) Full Text: DOI arXiv
Teodoro, A. Di; Ferreira, M.; Vieira, N. Fundamental solution for natural powers of the fractional Laplace and Dirac operators in the Riemann-Liouville sense. (English) Zbl 1448.30006 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 3, 18 p. (2020). Reviewer: Sergei V. Rogosin (Minsk) MSC: 30G35 15A66 26A33 31A30 35A08 35R11 PDFBibTeX XMLCite \textit{A. Di Teodoro} et al., Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 3, 18 p. (2020; Zbl 1448.30006) Full Text: DOI
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
Evgrafov, Anton; Bellido, José C. From non-local Eringen’s model to fractional elasticity. (English) Zbl 1425.74093 Math. Mech. Solids 24, No. 6, 1935-1953 (2019). MSC: 74B99 26A33 PDFBibTeX XMLCite \textit{A. Evgrafov} and \textit{J. C. Bellido}, Math. Mech. Solids 24, No. 6, 1935--1953 (2019; Zbl 1425.74093) Full Text: DOI arXiv
Pan, Ning; Pucci, Patrizia; Xu, Runzhang; Zhang, Binlin Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms. (English) Zbl 1423.35409 J. Evol. Equ. 19, No. 3, 615-643 (2019). MSC: 35R11 35L20 35L70 47G20 PDFBibTeX XMLCite \textit{N. Pan} et al., J. Evol. Equ. 19, No. 3, 615--643 (2019; Zbl 1423.35409) Full Text: DOI
Dwivedi, Gaurav; Tyagi, Jagmohan; Verma, Ram Baran Stability of positive solution to fractional logistic equations. (English) Zbl 1426.35027 Funkc. Ekvacioj, Ser. Int. 62, No. 1, 61-73 (2019). MSC: 35B35 35A15 35B09 47G20 35J25 35J20 35R11 PDFBibTeX XMLCite \textit{G. Dwivedi} et al., Funkc. Ekvacioj, Ser. Int. 62, No. 1, 61--73 (2019; Zbl 1426.35027) Full Text: DOI
Shomberg, Joseph L. Well-posedness of semilinear strongly damped wave equations with fractional diffusion operators and \(C^0\) potentials on arbitrary bounded domains. (English) Zbl 1437.35503 Rocky Mt. J. Math. 49, No. 4, 1307-1334 (2019). MSC: 35L71 35L20 35R11 35Q74 74H40 PDFBibTeX XMLCite \textit{J. L. Shomberg}, Rocky Mt. J. Math. 49, No. 4, 1307--1334 (2019; Zbl 1437.35503) Full Text: DOI Euclid
Khiddi, M.; Benmouloud, S.; Sbai, S. M. Infinitely many solutions for nonlocal systems involving fractional Laplacian under noncompact settings. (English) Zbl 1425.35042 J. Aust. Math. Soc. 107, No. 2, 215-233 (2019). MSC: 35J60 35J58 35R11 49J35 PDFBibTeX XMLCite \textit{M. Khiddi} et al., J. Aust. Math. Soc. 107, No. 2, 215--233 (2019; Zbl 1425.35042) Full Text: DOI
Zhu, Shanshan; Liu, Zuhan; Zhou, Ling Global existence and asymptotic stability of the fractional chemotaxis-fluid system in \(\mathbb{R}^3\). (English) Zbl 1420.35446 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 183, 149-190 (2019). MSC: 35Q92 35A01 35Q30 35Q35 92C17 35R11 35B45 35B40 35B35 PDFBibTeX XMLCite \textit{S. Zhu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 183, 149--190 (2019; Zbl 1420.35446) Full Text: DOI
Otárola, Enrique; Quyen, Tran Nhan Tam A reaction coefficient identification problem for fractional diffusion. (English) Zbl 1461.35241 Inverse Probl. 35, No. 4, Article ID 045010, 33 p. (2019). MSC: 35R30 35J25 35R11 65M60 PDFBibTeX XMLCite \textit{E. Otárola} and \textit{T. N. T. Quyen}, Inverse Probl. 35, No. 4, Article ID 045010, 33 p. (2019; Zbl 1461.35241) Full Text: DOI arXiv
Stan, Diana; del Teso, Félix; Vázquez, Juan Luis Existence of weak solutions for a general porous medium equation with nonlocal pressure. (English) Zbl 1437.35430 Arch. Ration. Mech. Anal. 233, No. 1, 451-496 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35K55 35Q35 35R11 35D30 35B45 PDFBibTeX XMLCite \textit{D. Stan} et al., Arch. Ration. Mech. Anal. 233, No. 1, 451--496 (2019; Zbl 1437.35430) Full Text: DOI arXiv
Giacomoni, Jacques; Mukherjee, Tuhina; Sreenadh, Konijeti Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian. (English) Zbl 1465.35290 Discrete Contin. Dyn. Syst., Ser. S 12, No. 2, 311-337 (2019). MSC: 35K67 35K58 35R11 PDFBibTeX XMLCite \textit{J. Giacomoni} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 2, 311--337 (2019; Zbl 1465.35290) Full Text: DOI arXiv
Płociniczak, Łukasz Numerical method for the time-fractional porous medium equation. (English) Zbl 1409.76091 SIAM J. Numer. Anal. 57, No. 2, 638-656 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 76M20 76S05 35Q35 65R20 35R11 45G10 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, SIAM J. Numer. Anal. 57, No. 2, 638--656 (2019; Zbl 1409.76091) Full Text: DOI arXiv
Aceves-Sanchez, Pedro; Cesbron, Ludovic Fractional diffusion limit for a fractional Vlasov-Fokker-Planck equation. (English) Zbl 1516.35064 SIAM J. Math. Anal. 51, No. 1, 469-488 (2019). MSC: 35B40 26A33 60J60 35Q83 35Q84 35R11 PDFBibTeX XMLCite \textit{P. Aceves-Sanchez} and \textit{L. Cesbron}, SIAM J. Math. Anal. 51, No. 1, 469--488 (2019; Zbl 1516.35064) Full Text: DOI arXiv
Jin, Lingyu; Li, Yan A Hopf’s lemma and the boundary regularity for the fractional \(p\)-Laplacian. (English) Zbl 1439.35598 Discrete Contin. Dyn. Syst. 39, No. 3, 1477-1495 (2019). Reviewer: Antonio Greco (Cagliari) MSC: 35S05 35B50 35B65 35B09 35R11 PDFBibTeX XMLCite \textit{L. Jin} and \textit{Y. Li}, Discrete Contin. Dyn. Syst. 39, No. 3, 1477--1495 (2019; Zbl 1439.35598) Full Text: DOI arXiv
Palatucci, Giampiero The Dirichlet problem for the \(p\)-fractional Laplace equation. (English) Zbl 1404.35212 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part B, 699-732 (2018). MSC: 35J92 35R09 35R11 PDFBibTeX XMLCite \textit{G. Palatucci}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part B, 699--732 (2018; Zbl 1404.35212) Full Text: DOI
Simon, Marielle; Olivera, Christian Non-local conservation law from stochastic particle systems. (English) Zbl 1427.60139 J. Dyn. Differ. Equations 30, No. 4, 1661-1682 (2018). MSC: 60H15 35D30 60G51 47D07 PDFBibTeX XMLCite \textit{M. Simon} and \textit{C. Olivera}, J. Dyn. Differ. Equations 30, No. 4, 1661--1682 (2018; Zbl 1427.60139) Full Text: DOI arXiv
Zhang, Chang; Li, Fang; Duan, Jinqiao Long-time behavior of a class of nonlocal partial differential equations. (English) Zbl 1395.35199 Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 749-763 (2018). MSC: 35R11 35D30 35K61 35A01 35B41 PDFBibTeX XMLCite \textit{C. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 749--763 (2018; Zbl 1395.35199) Full Text: DOI
Pan, Ning; Pucci, Patrizia; Zhang, Binlin Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian. (English) Zbl 1394.35562 J. Evol. Equ. 18, No. 2, 385-409 (2018). MSC: 35R11 35L05 47G20 PDFBibTeX XMLCite \textit{N. Pan} et al., J. Evol. Equ. 18, No. 2, 385--409 (2018; Zbl 1394.35562) Full Text: DOI
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. (English) Zbl 1393.35090 Nonlinearity 31, No. 7, 3228-3250 (2018). MSC: 35K55 35R11 47G20 35B44 35Q91 PDFBibTeX XMLCite \textit{X. Mingqi} et al., Nonlinearity 31, No. 7, 3228--3250 (2018; Zbl 1393.35090) Full Text: DOI
Huaroto, Gerardo; Neves, Wladimir Initial-boundary value problem for a fractional type degenerate heat equation. (English) Zbl 1393.35277 Math. Models Methods Appl. Sci. 28, No. 6, 1199-1231 (2018). MSC: 35R11 35D30 35G25 35L80 PDFBibTeX XMLCite \textit{G. Huaroto} and \textit{W. Neves}, Math. Models Methods Appl. Sci. 28, No. 6, 1199--1231 (2018; Zbl 1393.35277) Full Text: DOI
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations. (English) Zbl 1392.35144 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 57, 34 p. (2018). MSC: 35J61 35J25 35J40 35B09 35B45 35B65 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 57, 34 p. (2018; Zbl 1392.35144) Full Text: DOI arXiv
Cusimano, Nicole; del Teso, Félix; Gerardo-Giorda, Luca; Pagnini, Gianni Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions. (English) Zbl 1468.65138 SIAM J. Numer. Anal. 56, No. 3, 1243-1272 (2018). MSC: 65M60 26A33 35R11 47G20 65M15 PDFBibTeX XMLCite \textit{N. Cusimano} et al., SIAM J. Numer. Anal. 56, No. 3, 1243--1272 (2018; Zbl 1468.65138) Full Text: DOI arXiv
Duo, Siwei; van Wyk, Hans Werner; Zhang, Yanzhi A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem. (English) Zbl 1380.65323 J. Comput. Phys. 355, 233-252 (2018). MSC: 65N06 35R11 35J05 35S05 PDFBibTeX XMLCite \textit{S. Duo} et al., J. Comput. Phys. 355, 233--252 (2018; Zbl 1380.65323) Full Text: DOI
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. (English) Zbl 1443.35067 Anal. PDE 11, No. 4, 945-982 (2018). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35K65 35B45 35B65 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Anal. PDE 11, No. 4, 945--982 (2018; Zbl 1443.35067) Full Text: DOI arXiv Link
Iwabuchi, Tsukasa The semigroup generated by the Dirichlet Laplacian of fractional order. (English) Zbl 1386.35441 Anal. PDE 11, No. 3, 683-703 (2018). MSC: 35R11 35K08 PDFBibTeX XMLCite \textit{T. Iwabuchi}, Anal. PDE 11, No. 3, 683--703 (2018; Zbl 1386.35441) Full Text: DOI arXiv
Bors, Dorota Application of mountain pass theorem to superlinear equations with fractional Laplacian controlled by distributed parameters and boundary data. (English) Zbl 1374.35418 Discrete Contin. Dyn. Syst., Ser. B 23, No. 1, 29-43 (2018). MSC: 35R11 35A15 35B30 93D05 PDFBibTeX XMLCite \textit{D. Bors}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 1, 29--43 (2018; Zbl 1374.35418) Full Text: DOI arXiv
Vázquez, Juan Luis The mathematical theories of diffusion: nonlinear and fractional diffusion. (English) Zbl 1492.35151 Bonforte, Matteo (ed.) et al., Nonlocal and nonlinear diffusions and interactions: new methods and directions. Cetraro, Italy, July 4–8, 2016. Lecture notes given at the course. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2186, 205-278 (2017). MSC: 35K57 35R11 PDFBibTeX XMLCite \textit{J. L. Vázquez}, Lect. Notes Math. 2186, 205--278 (2017; Zbl 1492.35151) Full Text: DOI arXiv
Actis, Marcelo; Aimar, Hugo Approximation of solutions of fractional diffusions in compact metric measure spaces. (English) Zbl 1387.35600 J. Evol. Equ. 17, No. 4, 1259-1271 (2017). MSC: 35R11 35K90 45N05 PDFBibTeX XMLCite \textit{M. Actis} and \textit{H. Aimar}, J. Evol. Equ. 17, No. 4, 1259--1271 (2017; Zbl 1387.35600) Full Text: DOI
Autuori, Giuseppina; Cluni, Federico; Gusella, Vittorio; Pucci, Patrizia Mathematical models for nonlocal elastic composite materials. (English) Zbl 1373.35300 Adv. Nonlinear Anal. 6, No. 4, 355-382 (2017). MSC: 35Q74 35R11 35A15 35J60 74B20 74E30 PDFBibTeX XMLCite \textit{G. Autuori} et al., Adv. Nonlinear Anal. 6, No. 4, 355--382 (2017; Zbl 1373.35300) Full Text: DOI
Tan, Wen; Sun, Chunyou Dynamics for a non-autonomous reaction diffusion model with the fractional diffusion. (English) Zbl 1386.35213 Discrete Contin. Dyn. Syst. 37, No. 12, 6035-6067 (2017). MSC: 35K57 35B40 35B41 PDFBibTeX XMLCite \textit{W. Tan} and \textit{C. Sun}, Discrete Contin. Dyn. Syst. 37, No. 12, 6035--6067 (2017; Zbl 1386.35213) Full Text: DOI
Piersanti, Paolo; Pucci, Patrizia Existence theorems for fractional \(p\)-Laplacian problems. (English) Zbl 1371.35330 Anal. Appl., Singap. 15, No. 5, 607-640 (2017). MSC: 35R11 35J60 35P30 35J20 35B09 35S15 PDFBibTeX XMLCite \textit{P. Piersanti} and \textit{P. Pucci}, Anal. Appl., Singap. 15, No. 5, 607--640 (2017; Zbl 1371.35330) Full Text: DOI
Bonforte, Matteo; Figalli, Alessio; Ros-Oton, Xavier Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains. (English) Zbl 1377.35259 Commun. Pure Appl. Math. 70, No. 8, 1472-1508 (2017). MSC: 35R11 35A09 35B65 35Q35 76S05 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Commun. Pure Appl. Math. 70, No. 8, 1472--1508 (2017; Zbl 1377.35259) Full Text: DOI arXiv
Bernardin, Cédric; Oviedo, Byron Jiménez Fractional Fick’s law for the boundary driven exclusion process with long jumps. (English) Zbl 1364.60129 ALEA, Lat. Am. J. Probab. Math. Stat. 14, No. 1, 473-501 (2017). MSC: 60K35 82C22 35R11 60G51 PDFBibTeX XMLCite \textit{C. Bernardin} and \textit{B. J. Oviedo}, ALEA, Lat. Am. J. Probab. Math. Stat. 14, No. 1, 473--501 (2017; Zbl 1364.60129) Full Text: arXiv Link
Aceves-Sanchez, Pedro; Mellet, Antoine Anomalous diffusion limit for a linear Boltzmann equation with external force field. (English) Zbl 1362.76053 Math. Models Methods Appl. Sci. 27, No. 5, 845-878 (2017). MSC: 76P05 35B40 26A33 PDFBibTeX XMLCite \textit{P. Aceves-Sanchez} and \textit{A. Mellet}, Math. Models Methods Appl. Sci. 27, No. 5, 845--878 (2017; Zbl 1362.76053) Full Text: DOI
Yue, Gaocheng Attractors for non-autonomous reaction-diffusion equations with fractional diffusion in locally uniform spaces. (English) Zbl 1360.35099 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1645-1671 (2017). MSC: 35K57 35B40 35B41 PDFBibTeX XMLCite \textit{G. Yue}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1645--1671 (2017; Zbl 1360.35099) Full Text: DOI
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis Optimal existence and uniqueness theory for the fractional heat equation. (English) Zbl 1364.35416 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 153, 142-168 (2017). MSC: 35R11 35A01 35A02 35K05 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 153, 142--168 (2017; Zbl 1364.35416) Full Text: DOI arXiv
Aceves-Sánchez, Pedro; Schmeiser, Christian Fractional diffusion limit of a linear kinetic equation in a bounded domain. (English) Zbl 1353.76074 Kinet. Relat. Models 10, No. 3, 541-551 (2017). MSC: 76P05 35B40 26A33 PDFBibTeX XMLCite \textit{P. Aceves-Sánchez} and \textit{C. Schmeiser}, Kinet. Relat. Models 10, No. 3, 541--551 (2017; Zbl 1353.76074) Full Text: DOI arXiv
Bahrouni, Anouar Trudinger-Moser type inequality and existence of solution for perturbed non-local elliptic operators with exponential nonlinearity. (English) Zbl 1359.35208 Commun. Pure Appl. Anal. 16, No. 1, 243-252 (2017). MSC: 35R09 35R11 35J61 58E30 PDFBibTeX XMLCite \textit{A. Bahrouni}, Commun. Pure Appl. Anal. 16, No. 1, 243--252 (2017; Zbl 1359.35208) Full Text: DOI
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen R. Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type. (English) Zbl 1349.35311 Adv. Math. 305, 78-143 (2017). MSC: 35Q35 35Q79 35K65 35A02 35B30 35B35 35B53 35D30 35J15 35K59 35L65 35R09 76S05 80A22 PDFBibTeX XMLCite \textit{F. del Teso} et al., Adv. Math. 305, 78--143 (2017; Zbl 1349.35311) Full Text: DOI arXiv
Khiddi, M.; Echarghaoui, R. On the existence of infinitely many solutions for nonlocal systems with critical exponents. (English) Zbl 1470.35397 Abstr. Appl. Anal. 2016, Article ID 7197542, 10 p. (2016). MSC: 35R11 35B38 PDFBibTeX XMLCite \textit{M. Khiddi} and \textit{R. Echarghaoui}, Abstr. Appl. Anal. 2016, Article ID 7197542, 10 p. (2016; Zbl 1470.35397) Full Text: DOI
Ferreira, Milton; Vieira, Nelson Eigenfunctions and fundamental solutions of the Caputo fractional Laplace and Dirac operators. (English) Zbl 1386.35434 Bernstein, Swanhild (ed.) et al., Modern trends in hypercomplex analysis. Selected papers presented at the session on Clifford and quaternionic analysis at the 10th international ISAAC congress, University of Macau, China, August 3–8, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-42528-3/hbk; 978-3-319-42529-0/ebook). Trends in Mathematics, 191-202 (2016). MSC: 35R11 PDFBibTeX XMLCite \textit{M. Ferreira} and \textit{N. Vieira}, in: Modern trends in hypercomplex analysis. Selected papers presented at the session on Clifford and quaternionic analysis at the 10th international ISAAC congress, University of Macau, China, August 3--8, 2015. Basel: Birkhäuser/Springer. 191--202 (2016; Zbl 1386.35434) Full Text: DOI Link
Huang, Hui; Liu, Jian-Guo Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos. (English) Zbl 1358.65073 Kinet. Relat. Models 9, No. 4, 715-748 (2016). MSC: 65P20 60G51 65M75 35K55 37D45 PDFBibTeX XMLCite \textit{H. Huang} and \textit{J.-G. Liu}, Kinet. Relat. Models 9, No. 4, 715--748 (2016; Zbl 1358.65073) Full Text: DOI
Toscani, Giuseppe Entropy inequalities for stable densities and strengthened central limit theorems. (English) Zbl 1356.60039 J. Stat. Phys. 165, No. 2, 371-389 (2016). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, J. Stat. Phys. 165, No. 2, 371--389 (2016; Zbl 1356.60039) Full Text: DOI arXiv
Muratori, Matteo The fractional Laplacian in power-weighted \(L^{p}\) spaces: integration-by-parts formulas and self-adjointness. (English) Zbl 1358.47029 J. Funct. Anal. 271, No. 12, 3662-3694 (2016). MSC: 47F05 26A33 35J05 PDFBibTeX XMLCite \textit{M. Muratori}, J. Funct. Anal. 271, No. 12, 3662--3694 (2016; Zbl 1358.47029) Full Text: DOI arXiv
Warma, Mahamadi; Gal, Ciprian G. Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions. (English) Zbl 1349.35412 Evol. Equ. Control Theory 5, No. 1, 61-103 (2016). MSC: 35R11 35J92 35A15 35B41 35K65 PDFBibTeX XMLCite \textit{M. Warma} and \textit{C. G. Gal}, Evol. Equ. Control Theory 5, No. 1, 61--103 (2016; Zbl 1349.35412) Full Text: DOI
Molino, Alexis; Rossi, Julio D. Nonlocal diffusion problems that approximate a parabolic equation with spatial dependence. (English) Zbl 1406.35141 Z. Angew. Math. Phys. 67, No. 3, Article ID 41, 14 p. (2016). MSC: 35K10 35R09 PDFBibTeX XMLCite \textit{A. Molino} and \textit{J. D. Rossi}, Z. Angew. Math. Phys. 67, No. 3, Article ID 41, 14 p. (2016; Zbl 1406.35141) Full Text: DOI
Toscani, Giuseppe The fractional Fisher information and the central limit theorem for stable laws. (English) Zbl 1366.60064 Ric. Mat. 65, No. 1, 71-91 (2016). MSC: 60F05 26A33 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 65, No. 1, 71--91 (2016; Zbl 1366.60064) Full Text: DOI arXiv
Akagi, Goro; Schimperna, Giulio; Segatti, Antonio Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations. (English) Zbl 1342.35429 J. Differ. Equations 261, No. 6, 2935-2985 (2016). MSC: 35R11 35B25 35B40 35K20 PDFBibTeX XMLCite \textit{G. Akagi} et al., J. Differ. Equations 261, No. 6, 2935--2985 (2016; Zbl 1342.35429) Full Text: DOI arXiv