Dong, Hongjie; Kim, Doyoon Time fractional parabolic equations with partially SMO coefficients. (English) Zbl 1526.35288 J. Differ. Equations 377, 759-808 (2023). MSC: 35R11 26A33 35K10 35R05 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, J. Differ. Equations 377, 759--808 (2023; Zbl 1526.35288) Full Text: DOI arXiv
Wang, Shu; Zhang, Shuzhen The initial value problem for the equations of motion of fractional compressible viscous fluids. (English) Zbl 1527.35220 J. Differ. Equations 377, 369-417 (2023). MSC: 35Q30 76N10 35B65 60G51 35L65 26A33 35R11 PDFBibTeX XMLCite \textit{S. Wang} and \textit{S. Zhang}, J. Differ. Equations 377, 369--417 (2023; Zbl 1527.35220) Full Text: DOI
Alvarez, Edgardo; Lizama, Carlos; Murillo-Arcila, Marina Strongly \(L^p\) well-posedness for abstract time-fractional Moore-Gibson-Thompson type equations. (English) Zbl 1526.34006 J. Differ. Equations 376, 340-369 (2023). MSC: 34A08 26A33 34G10 PDFBibTeX XMLCite \textit{E. Alvarez} et al., J. Differ. Equations 376, 340--369 (2023; Zbl 1526.34006) Full Text: DOI
Kim, Hyunseok; Kwon, Hyunwoo Global existence and uniqueness of weak solutions of a Stokes-magneto system with fractional diffusions. (English) Zbl 1527.35292 J. Differ. Equations 374, 497-547 (2023). MSC: 35Q35 76W05 76D07 35G30 26A33 35R11 PDFBibTeX XMLCite \textit{H. Kim} and \textit{H. Kwon}, J. Differ. Equations 374, 497--547 (2023; Zbl 1527.35292) Full Text: DOI arXiv
Guo, Zihua; Huang, Chunyan; Song, Liang Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations. (English) Zbl 1516.35382 J. Differ. Equations 366, 71-84 (2023). MSC: 35Q55 35Q41 42B30 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Differ. Equations 366, 71--84 (2023; Zbl 1516.35382) Full Text: DOI arXiv
Albarracin, Carolina; Rodriguez-Blanco, Guillermo The IVP for a periodic generalized ZK equation. (English) Zbl 1508.35115 J. Differ. Equations 352, 1-22 (2023). MSC: 35Q53 35A01 35A02 26A33 35R11 35B65 PDFBibTeX XMLCite \textit{C. Albarracin} and \textit{G. Rodriguez-Blanco}, J. Differ. Equations 352, 1--22 (2023; Zbl 1508.35115) Full Text: DOI
Alegría, Francisco; Poblete, Verónica; Pozo, Juan C. Nonlocal in-time telegraph equation and telegraph processes with random time. (English) Zbl 1505.35346 J. Differ. Equations 347, 310-347 (2023). MSC: 35R11 35R60 26A33 45D05 60G22 60H15 60H20 PDFBibTeX XMLCite \textit{F. Alegría} et al., J. Differ. Equations 347, 310--347 (2023; Zbl 1505.35346) Full Text: DOI
Lan, Kunquan Corrigendum to: “Linear first order Riemann-Liouville fractional differential and perturbed Abel’s integral equations”. (English) Zbl 1503.34023 J. Differ. Equations 345, 519-520 (2023). MSC: 34A08 26A33 34A12 45D05 PDFBibTeX XMLCite \textit{K. Lan}, J. Differ. Equations 345, 519--520 (2023; Zbl 1503.34023) Full Text: DOI
Hamaguchi, Yushi Variation of constants formulae for forward and backward stochastic Volterra integral equations. (English) Zbl 1510.60059 J. Differ. Equations 343, 332-389 (2023). MSC: 60H20 45D05 45A05 26A33 PDFBibTeX XMLCite \textit{Y. Hamaguchi}, J. Differ. Equations 343, 332--389 (2023; Zbl 1510.60059) Full Text: DOI arXiv
Chen, Ke; Liu, Jie Weak solutions of the three-dimensional hypoviscous elastodynamics with finite kinetic energy. (English) Zbl 1498.35414 J. Differ. Equations 339, 637-665 (2022). MSC: 35Q35 76A10 35D30 26A33 35R11 PDFBibTeX XMLCite \textit{K. Chen} and \textit{J. Liu}, J. Differ. Equations 339, 637--665 (2022; Zbl 1498.35414) Full Text: DOI arXiv
Dong, Hongjie; Liu, Yanze Weighted mixed norm estimates for fractional wave equations with VMO coefficients. (English) Zbl 1505.35063 J. Differ. Equations 337, 168-254 (2022). Reviewer: Luis Vazquez (Madrid) MSC: 35B45 35R11 35L15 35L20 26A33 PDFBibTeX XMLCite \textit{H. Dong} and \textit{Y. Liu}, J. Differ. Equations 337, 168--254 (2022; Zbl 1505.35063) Full Text: DOI arXiv
Al-Refai, Mohammed; Luchko, Yuri Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications. (English) Zbl 1505.34007 J. Differ. Equations 319, 312-324 (2022). Reviewer: Svetlin Georgiev (Sofia) MSC: 34A08 34A40 34C10 26A33 33E12 45K05 PDFBibTeX XMLCite \textit{M. Al-Refai} and \textit{Y. Luchko}, J. Differ. Equations 319, 312--324 (2022; Zbl 1505.34007) Full Text: DOI
Giga, Yoshikazu; Mitake, Hiroyoshi; Sato, Shoichi On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation. (English) Zbl 1484.35378 J. Differ. Equations 316, 364-386 (2022). MSC: 35R11 35D30 35D40 35K20 49L25 PDFBibTeX XMLCite \textit{Y. Giga} et al., J. Differ. Equations 316, 364--386 (2022; Zbl 1484.35378) Full Text: DOI arXiv
Xiao, Jie \(L^p\)-uncertainty principle via fractional Schrödinger equation. (English) Zbl 1483.35227 J. Differ. Equations 313, 269-284 (2022). MSC: 35Q55 42B10 26D15 26A33 35R11 PDFBibTeX XMLCite \textit{J. Xiao}, J. Differ. Equations 313, 269--284 (2022; Zbl 1483.35227) Full Text: DOI
Daus, Esther S.; Ptashnyk, Mariya; Raithel, Claudia Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise. (English) Zbl 1502.35177 J. Differ. Equations 309, 386-426 (2022). MSC: 35Q92 92B05 60G60 60J60 60G51 60G22 35B65 35A01 35A02 47H10 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{E. S. Daus} et al., J. Differ. Equations 309, 386--426 (2022; Zbl 1502.35177) Full Text: DOI arXiv
Lan, Kunquan Linear first order Riemann-Liouville fractional differential and perturbed Abel’s integral equations. (English) Zbl 1490.34007 J. Differ. Equations 306, 28-59 (2022); corrigendum ibid. 345, 519-520 (2023). Reviewer: Neville Ford (Chester) MSC: 34A08 26A33 34A12 45D05 PDFBibTeX XMLCite \textit{K. Lan}, J. Differ. Equations 306, 28--59 (2022; Zbl 1490.34007) Full Text: DOI
Bui, The Anh; Bui, The Quan Maximal regularity of parabolic equations associated to generalized Hardy operators in weighted mixed-norm spaces. (English) Zbl 1475.35096 J. Differ. Equations 303, 547-574 (2021). MSC: 35B65 35A23 35B45 35K15 35R11 PDFBibTeX XMLCite \textit{T. A. Bui} and \textit{T. Q. Bui}, J. Differ. Equations 303, 547--574 (2021; Zbl 1475.35096) Full Text: DOI
Ersland, Olav; Jakobsen, Espen R. On fractional and nonlocal parabolic mean field games in the whole space. (English) Zbl 1489.35283 J. Differ. Equations 301, 428-470 (2021). Reviewer: Solden Stoll (Seattle) MSC: 35Q89 35Q84 35Q91 91A16 47G20 35A01 35A02 35A09 35B65 35B45 35D30 35S10 35K61 35K08 49L12 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{O. Ersland} and \textit{E. R. Jakobsen}, J. Differ. Equations 301, 428--470 (2021; Zbl 1489.35283) Full Text: DOI arXiv
Kim, Kyeong-Hun; Park, Daehan; Ryu, Junhee An \(L_q (L_p)\)-theory for diffusion equations with space-time nonlocal operators. (English) Zbl 1462.35443 J. Differ. Equations 287, 376-427 (2021). MSC: 35R11 35R09 35B65 35S10 26A33 47G20 PDFBibTeX XMLCite \textit{K.-H. Kim} et al., J. Differ. Equations 287, 376--427 (2021; Zbl 1462.35443) Full Text: DOI arXiv
Mendez, Argenis J. On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation. (English) Zbl 1450.35236 J. Differ. Equations 269, No. 11, 9051-9089 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35R11 26A33 35B65 PDFBibTeX XMLCite \textit{A. J. Mendez}, J. Differ. Equations 269, No. 11, 9051--9089 (2020; Zbl 1450.35236) Full Text: DOI arXiv
Naumkin, Pavel I. Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\). (English) Zbl 1440.35310 J. Differ. Equations 269, No. 7, 5701-5729 (2020). MSC: 35Q55 35Q41 35B40 26A33 35R11 35P25 PDFBibTeX XMLCite \textit{P. I. Naumkin}, J. Differ. Equations 269, No. 7, 5701--5729 (2020; Zbl 1440.35310) Full Text: DOI
Han, Beom-Seok; Kim, Kyeong-Hun; Park, Daehan Weighted \(L_q(L_{p})\)-estimate with Muckenhoupt weights for the diffusion-wave equations with time-fractional derivatives. (English) Zbl 1448.35545 J. Differ. Equations 269, No. 4, 3515-3550 (2020). MSC: 35R11 35K15 45D05 45K05 45N05 35B65 26A33 PDFBibTeX XMLCite \textit{B.-S. Han} et al., J. Differ. Equations 269, No. 4, 3515--3550 (2020; Zbl 1448.35545) Full Text: DOI arXiv
Li, Lei; Liu, Jian-Guo; Wang, Lizhen Cauchy problems for Keller-Segel type time-space fractional diffusion equation. (English) Zbl 1427.35329 J. Differ. Equations 265, No. 3, 1044-1096 (2018). MSC: 35R11 26A33 35A08 35B44 PDFBibTeX XMLCite \textit{L. Li} et al., J. Differ. Equations 265, No. 3, 1044--1096 (2018; Zbl 1427.35329) Full Text: DOI arXiv
Bessaih, H.; Ferrario, B. The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion. (English) Zbl 1354.35087 J. Differ. Equations 262, No. 3, 1822-1849 (2017). MSC: 35Q35 76D03 35Q86 26A33 PDFBibTeX XMLCite \textit{H. Bessaih} and \textit{B. Ferrario}, J. Differ. Equations 262, No. 3, 1822--1849 (2017; Zbl 1354.35087) Full Text: DOI arXiv
Cuesta, C. M.; Achleitner, F. Addendum to: “Travelling waves for a non-local Korteweg-de Vries-Burgers equation”. (English) Zbl 06652621 J. Differ. Equations 262, No. 2, 1155-1160 (2017). MSC: 47J35 26A33 35C07 PDFBibTeX XMLCite \textit{C. M. Cuesta} and \textit{F. Achleitner}, J. Differ. Equations 262, No. 2, 1155--1160 (2017; Zbl 06652621) Full Text: DOI arXiv
Cho, Yonggeun Short-range scattering of Hartree type fractional NLS. (English) Zbl 1354.35134 J. Differ. Equations 262, No. 1, 116-144 (2017). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35Q40 26A33 PDFBibTeX XMLCite \textit{Y. Cho}, J. Differ. Equations 262, No. 1, 116--144 (2017; Zbl 1354.35134) Full Text: DOI
Rodrigo, Marianito R. On fractional matrix exponentials and their explicit calculation. (English) Zbl 1347.15013 J. Differ. Equations 261, No. 7, 4223-4243 (2016). MSC: 15A16 26A33 65F60 PDFBibTeX XMLCite \textit{M. R. Rodrigo}, J. Differ. Equations 261, No. 7, 4223--4243 (2016; Zbl 1347.15013) Full Text: DOI
Nan, Zhijie; Zheng, Xiaoxin Existence and uniqueness of solutions for Navier-Stokes equations with hyper-dissipation in a large space. (English) Zbl 1348.35173 J. Differ. Equations 261, No. 6, 3670-3703 (2016). Reviewer: Cheng He (Beijing) MSC: 35Q30 35A02 76D05 26A33 PDFBibTeX XMLCite \textit{Z. Nan} and \textit{X. Zheng}, J. Differ. Equations 261, No. 6, 3670--3703 (2016; Zbl 1348.35173) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation. (English) Zbl 1341.35135 J. Differ. Equations 260, No. 8, 6716-6744 (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35B65 76D03 26A33 PDFBibTeX XMLCite \textit{Z. Ye} and \textit{X. Xu}, J. Differ. Equations 260, No. 8, 6716--6744 (2016; Zbl 1341.35135) Full Text: DOI
Lissy, Pierre Explicit lower bounds for the cost of fast controls for some 1-D parabolic or dispersive equations, and a new lower bound concerning the uniform controllability of the 1-D transport-diffusion equation. (English) Zbl 1331.35352 J. Differ. Equations 259, No. 10, 5331-5352 (2015). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35Q93 93C20 26A33 PDFBibTeX XMLCite \textit{P. Lissy}, J. Differ. Equations 259, No. 10, 5331--5352 (2015; Zbl 1331.35352) Full Text: DOI
Carrillo, J. A.; Huang, Y.; Santos, M. C.; Vázquez, J. L. Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure. (English) Zbl 1307.35311 J. Differ. Equations 258, No. 3, 736-763 (2015). MSC: 35R11 35K55 35K65 26A33 76S05 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 258, No. 3, 736--763 (2015; Zbl 1307.35311) Full Text: DOI arXiv
Yang, Wanrong; Jiu, Quansen; Wu, Jiahong Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation. (English) Zbl 1300.35108 J. Differ. Equations 257, No. 11, 4188-4213 (2014). MSC: 35Q35 76D03 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{W. Yang} et al., J. Differ. Equations 257, No. 11, 4188--4213 (2014; Zbl 1300.35108) Full Text: DOI
Achleitner, F.; Cuesta, C. M.; Hittmeir, S. Travelling waves for a non-local Korteweg-de Vries-Burgers equation. (English) Zbl 1293.35273 J. Differ. Equations 257, No. 3, 720-758 (2014). MSC: 35Q53 35C07 47J35 26A33 76B15 35B35 35A01 PDFBibTeX XMLCite \textit{F. Achleitner} et al., J. Differ. Equations 257, No. 3, 720--758 (2014; Zbl 1293.35273) Full Text: DOI
Ponce, Rodrigo Hölder continuous solutions for fractional differential equations and maximal regularity. (English) Zbl 1321.34104 J. Differ. Equations 255, No. 10, 3284-3304 (2013). MSC: 34K37 34K30 45N05 47N20 PDFBibTeX XMLCite \textit{R. Ponce}, J. Differ. Equations 255, No. 10, 3284--3304 (2013; Zbl 1321.34104) Full Text: DOI
Ferrari, Fausto; Verbitsky, Igor E. Radial fractional Laplace operators and Hessian inequalities. (English) Zbl 1306.35139 J. Differ. Equations 253, No. 1, 244-272 (2012). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 35R11 35A23 35B53 31A05 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{I. E. Verbitsky}, J. Differ. Equations 253, No. 1, 244--272 (2012; Zbl 1306.35139) Full Text: DOI arXiv
Umarov, Sabir On fractional Duhamel’s principle and its applications. (English) Zbl 1247.34010 J. Differ. Equations 252, No. 10, 5217-5234 (2012). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34A08 34A12 PDFBibTeX XMLCite \textit{S. Umarov}, J. Differ. Equations 252, No. 10, 5217--5234 (2012; Zbl 1247.34010) Full Text: DOI arXiv
Achleitner, F.; Hittmeir, S.; Schmeiser, C. On nonlinear conservation laws with a nonlocal diffusion term. (English) Zbl 1213.47066 J. Differ. Equations 250, No. 4, 2177-2196 (2011). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 47J35 26A33 35C07 PDFBibTeX XMLCite \textit{F. Achleitner} et al., J. Differ. Equations 250, No. 4, 2177--2196 (2011; Zbl 1213.47066) Full Text: DOI
Guidotti, Patrick A new nonlocal nonlinear diffusion of image processing. (English) Zbl 1170.35450 J. Differ. Equations 246, No. 12, 4731-4742 (2009). MSC: 35K55 35K60 35B10 68U10 PDFBibTeX XMLCite \textit{P. Guidotti}, J. Differ. Equations 246, No. 12, 4731--4742 (2009; Zbl 1170.35450) Full Text: DOI
Eidelman, Samuil D.; Kochubei, Anatoly N. Cauchy problem for fractional diffusion equations. (English) Zbl 1068.35037 J. Differ. Equations 199, No. 2, 211-255 (2004). Reviewer: Chaman Lal Koul (Jaipur) MSC: 35K15 26A33 PDFBibTeX XMLCite \textit{S. D. Eidelman} and \textit{A. N. Kochubei}, J. Differ. Equations 199, No. 2, 211--255 (2004; Zbl 1068.35037) Full Text: DOI arXiv
Clément, Philippe; Londen, Stig-Olof; Simonett, Gieri Quasilinear evolutionary equations and continuous interpolation spaces. (English) Zbl 1058.35136 J. Differ. Equations 196, No. 2, 418-447 (2004). Reviewer: Irina V. Melnikova (Ekaterinburg) MSC: 35K90 26A33 PDFBibTeX XMLCite \textit{P. Clément} et al., J. Differ. Equations 196, No. 2, 418--447 (2004; Zbl 1058.35136) Full Text: DOI
Biagioni, Hebe A.; Gramchev, Todor Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\). (English) Zbl 1160.35311 J. Differ. Equations 194, No. 1, 140-165 (2003). MSC: 35A20 35B65 PDFBibTeX XMLCite \textit{H. A. Biagioni} and \textit{T. Gramchev}, J. Differ. Equations 194, No. 1, 140--165 (2003; Zbl 1160.35311) Full Text: DOI
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. Fractal Burgers equations. (English) Zbl 0911.35100 J. Differ. Equations 148, No. 1, 9-46 (1998). Reviewer: W.Kotarski (Sosnowiec) MSC: 35Q53 26A33 35B40 76F20 PDFBibTeX XMLCite \textit{P. Biler} et al., J. Differ. Equations 148, No. 1, 9--46 (1998; Zbl 0911.35100) Full Text: DOI