Wang, Yifei; Huang, Jin; Li, Hu A numerical approach for the system of nonlinear variable-order fractional Volterra integral equations. (English) Zbl 07824752 Numer. Algorithms 95, No. 4, 1855-1877 (2024). MSC: 65-XX 11B68 45K05 PDFBibTeX XMLCite \textit{Y. Wang} et al., Numer. Algorithms 95, No. 4, 1855--1877 (2024; Zbl 07824752) Full Text: DOI
Gallo, Marco Asymptotic decay of solutions for sublinear fractional Choquard equations. (English) Zbl 07816735 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113515, 21 p. (2024). MSC: 35R11 35B09 35B40 35D30 35J61 35R09 45M05 45M20 PDFBibTeX XMLCite \textit{M. Gallo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113515, 21 p. (2024; Zbl 07816735) Full Text: DOI arXiv
Caffarelli, Luis A.; Soria-Carro, María On a family of fully nonlinear integrodifferential operators: from fractional Laplacian to nonlocal Monge-Ampère. (English) Zbl 07807514 Anal. PDE 17, No. 1, 243-279 (2024). MSC: 35J60 35J96 35R11 45K05 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{M. Soria-Carro}, Anal. PDE 17, No. 1, 243--279 (2024; Zbl 07807514) Full Text: DOI arXiv
Yang, Jinping; Green, Charles Wing Ho; Pani, Amiya K.; Yan, Yubin Unconditionally stable and convergent difference scheme for superdiffusion with extrapolation. (English) Zbl 07784046 J. Sci. Comput. 98, No. 1, Paper No. 12, 27 p. (2024). MSC: 65M06 65N06 65D05 65B05 65M15 65M12 45K05 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Sci. Comput. 98, No. 1, Paper No. 12, 27 p. (2024; Zbl 07784046) Full Text: DOI OA License
Yang, Yuhui; Green, Charles Wing Ho; Pani, Amiya K.; Yan, Yubin High-order schemes based on extrapolation for semilinear fractional differential equation. (English) Zbl 07783086 Calcolo 61, No. 1, Paper No. 2, 40 p. (2024). MSC: 65M06 65D32 41A55 65B05 65D05 65M15 65M12 35R09 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Yang} et al., Calcolo 61, No. 1, Paper No. 2, 40 p. (2024; Zbl 07783086) Full Text: DOI OA License
Sin, Chung-Sik; Choe, Hyon-Sok; Rim, Jin-U Initial-boundary value problem for a multiterm time-fractional differential equation and its application to an inverse problem. (English) Zbl 07790767 Math. Methods Appl. Sci. 46, No. 12, 12960-12978 (2023). MSC: 35R11 35A08 35B40 35C15 35G16 35R30 45K05 47G20 PDFBibTeX XMLCite \textit{C.-S. Sin} et al., Math. Methods Appl. Sci. 46, No. 12, 12960--12978 (2023; Zbl 07790767) Full Text: DOI
Durdiev, D. K. Inverse coefficient problem for the time-fractional diffusion equation with Hilfer operator. (English) Zbl 07789840 Math. Methods Appl. Sci. 46, No. 16, 17469-17484 (2023). MSC: 35R30 35K15 35R11 45G10 PDFBibTeX XMLCite \textit{D. K. Durdiev}, Math. Methods Appl. Sci. 46, No. 16, 17469--17484 (2023; Zbl 07789840) Full Text: DOI
Li, Chenkuan; Saadati, Reza; O’Regan, Donal; Mesiar, Radko; Hrytsenko, Andrii A nonlinear fractional partial integro-differential equation with nonlocal initial value conditions. (English) Zbl 07789818 Math. Methods Appl. Sci. 46, No. 16, 17010-17019 (2023). MSC: 35R11 35A02 35C15 45E10 26A33 PDFBibTeX XMLCite \textit{C. Li} et al., Math. Methods Appl. Sci. 46, No. 16, 17010--17019 (2023; Zbl 07789818) Full Text: DOI
Rawashdeh, Mahmoud S.; Obeidat, Nazek A.; Ababneh, Omar M. Using the decomposition method to solve the fractional order temperature distribution equation: a new approach. (English) Zbl 07784867 Math. Methods Appl. Sci. 46, No. 13, 14321-14339 (2023). MSC: 35C10 35R11 45J05 47F05 PDFBibTeX XMLCite \textit{M. S. Rawashdeh} et al., Math. Methods Appl. Sci. 46, No. 13, 14321--14339 (2023; Zbl 07784867) Full Text: DOI
Alavi, Javad; Aminikhah, Hossein An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation. (English) Zbl 07784401 Comput. Appl. Math. 42, No. 8, Paper No. 350, 25 p. (2023). MSC: 65M06 65D07 34K37 45K05 PDFBibTeX XMLCite \textit{J. Alavi} and \textit{H. Aminikhah}, Comput. Appl. Math. 42, No. 8, Paper No. 350, 25 p. (2023; Zbl 07784401) Full Text: DOI
Messaoudi, Salim A.; Lacheheb, Ilyes A general decay result for the Cauchy problem of a fractional Laplace viscoelastic equation. (English) Zbl 07782146 Math. Methods Appl. Sci. 46, No. 5, 5964-5978 (2023). MSC: 35B40 35L15 35R09 35R11 74K20 45M10 PDFBibTeX XMLCite \textit{S. A. Messaoudi} and \textit{I. Lacheheb}, Math. Methods Appl. Sci. 46, No. 5, 5964--5978 (2023; Zbl 07782146) Full Text: DOI
Tran Van Bang; Tran Van Tuan Regularity theory for fractional reaction-subdiffusion equation and application to inverse problem. (English) Zbl 07781780 Math. Methods Appl. Sci. 46, No. 4, 3948-3965 (2023). MSC: 35B65 35B40 35C15 35R11 35R30 45D05 PDFBibTeX XMLCite \textit{Tran Van Bang} and \textit{Tran Van Tuan}, Math. Methods Appl. Sci. 46, No. 4, 3948--3965 (2023; Zbl 07781780) Full Text: DOI
Wang, Linlin; Xing, Yuming; Zhang, Binlin Existence and bifurcation of positive solutions for fractional \(p\)-Kirchhoff problems. (English) Zbl 07781308 Math. Methods Appl. Sci. 46, No. 2, 2413-2432 (2023). MSC: 35R11 35B32 35J25 35J92 45G05 47G20 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Methods Appl. Sci. 46, No. 2, 2413--2432 (2023; Zbl 07781308) Full Text: DOI
Nguyen Van Dac; Hoang The Tuan; Tran Van Tuan Regularity and large-time behavior of solutions for fractional semilinear mobile-immobile equations. (English) Zbl 07781167 Math. Methods Appl. Sci. 46, No. 1, 1005-1031 (2023). MSC: 35B40 35B65 35C15 35R11 45D05 PDFBibTeX XMLCite \textit{Nguyen Van Dac} et al., Math. Methods Appl. Sci. 46, No. 1, 1005--1031 (2023; Zbl 07781167) Full Text: DOI
Mittal, A. K. Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations. (English) Zbl 1528.65121 Calcolo 60, No. 4, Paper No. 50, 21 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 35L65 45D05 65R20 65H10 65D30 65D05 65N15 26A33 35R11 PDFBibTeX XMLCite \textit{A. K. Mittal}, Calcolo 60, No. 4, Paper No. 50, 21 p. (2023; Zbl 1528.65121) Full Text: DOI
Liaqat, Muhammad Imran; Akgül, Ali; Prosviryakov, Evgenii Yu. An efficient method for the analytical study of linear and nonlinear time-fractional partial differential equations with variable coefficients. (English) Zbl 07744576 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 27, No. 2, 214-240 (2023). MSC: 26A33 44A10 45J05 PDFBibTeX XMLCite \textit{M. I. Liaqat} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 27, No. 2, 214--240 (2023; Zbl 07744576) Full Text: DOI MNR
Fahim, K.; Hausenblas, E.; Kovács, M. Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise. (English) Zbl 07742934 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 3, 1044-1088 (2023). MSC: 60H20 60G22 65R20 45R05 45D05 45L05 PDFBibTeX XMLCite \textit{K. Fahim} et al., Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 3, 1044--1088 (2023; Zbl 07742934) Full Text: DOI arXiv
Cao, Y.; Zaky, M. A.; Hendy, A. S.; Qiu, W. Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel. (English) Zbl 1528.65041 J. Comput. Appl. Math. 431, Article ID 115287, 27 p. (2023). MSC: 65M06 35R11 65M12 65M15 45K05 65R20 PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Comput. Appl. Math. 431, Article ID 115287, 27 p. (2023; Zbl 1528.65041) Full Text: DOI
Aghazadeh, N.; Ahmadnezhad, Gh.; Rezapour, Sh. On time fractional modifed Camassa-Holm and Degasperis-Procesi equations by using the Haar wavelet iteration method. (English) Zbl 07709513 Iran. J. Math. Sci. Inform. 18, No. 1, 55-71 (2023). MSC: 65Mxx 26A33 45K05 65T60 PDFBibTeX XMLCite \textit{N. Aghazadeh} et al., Iran. J. Math. Sci. Inform. 18, No. 1, 55--71 (2023; Zbl 07709513) Full Text: Link
Du, Hong; Yang, Xinyue; Chen, Zhong Meshless method of solving multi-term time-fractional integro-differential equation. (English) Zbl 1514.65201 Appl. Math. Lett. 141, Article ID 108619, 8 p. (2023). MSC: 65R20 35R11 45K05 65M12 65M22 PDFBibTeX XMLCite \textit{H. Du} et al., Appl. Math. Lett. 141, Article ID 108619, 8 p. (2023; Zbl 1514.65201) Full Text: DOI
Ziyaee, Fahimeh; Tari, Abolfazl An LN-stable method to solve the fractional partial integro-differential equations. (English) Zbl 1524.65992 J. Math. Model. 11, No. 1, 133-156 (2023). MSC: 65R20 45D05 45K05 35R09 35R11 PDFBibTeX XMLCite \textit{F. Ziyaee} and \textit{A. Tari}, J. Math. Model. 11, No. 1, 133--156 (2023; Zbl 1524.65992) Full Text: DOI
Talaei, Y.; Lima, P. M. An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions. (English) Zbl 1524.65687 Comput. Appl. Math. 42, No. 4, Paper No. 190, 22 p. (2023). MSC: 65M70 35R09 35R11 26A33 45D05 65M12 PDFBibTeX XMLCite \textit{Y. Talaei} and \textit{P. M. Lima}, Comput. Appl. Math. 42, No. 4, Paper No. 190, 22 p. (2023; Zbl 1524.65687) Full Text: DOI arXiv
Salim, Abdelkrim; Abbas, Saïd; Benchohra, Mouffak; Karapinar, Erdal Global stability results for Volterra-Hadamard random partial fractional integral equations. (English) Zbl 1528.45005 Rend. Circ. Mat. Palermo (2) 72, No. 3, 1783-1795 (2023). MSC: 45K05 45R05 45M10 26A33 PDFBibTeX XMLCite \textit{A. Salim} et al., Rend. Circ. Mat. Palermo (2) 72, No. 3, 1783--1795 (2023; Zbl 1528.45005) Full Text: DOI
Habibirad, Ali; Hesameddini, Esmail; Azin, Hadis; Heydari, Mohammad Hossein The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional cable equation. (English) Zbl 1521.65092 Eng. Anal. Bound. Elem. 150, 342-352 (2023). MSC: 65M60 35R11 45K05 65M12 PDFBibTeX XMLCite \textit{A. Habibirad} et al., Eng. Anal. Bound. Elem. 150, 342--352 (2023; Zbl 1521.65092) Full Text: DOI
Phung Dinh Tran; Duc Thanh Dinh; Tuan Kim Vu; Garayev, M.; Guediri, H. Time-fractional integro-differential equations in power growth function spaces. (English) Zbl 1511.45009 Fract. Calc. Appl. Anal. 26, No. 2, 751-780 (2023). MSC: 45K05 26A33 44A10 PDFBibTeX XMLCite \textit{Phung Dinh Tran} et al., Fract. Calc. Appl. Anal. 26, No. 2, 751--780 (2023; Zbl 1511.45009) 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
Chen, Huyuan; Véron, Laurent Singularities of fractional Emden’s equations via Caffarelli-Silvestre extension. (English) Zbl 1512.35610 J. Differ. Equations 361, 472-530 (2023). MSC: 35R11 35B40 35J61 35J70 45G05 35B06 PDFBibTeX XMLCite \textit{H. Chen} and \textit{L. Véron}, J. Differ. Equations 361, 472--530 (2023; Zbl 1512.35610) Full Text: DOI arXiv
Tuan, Tran Van Stability and regularity in inverse source problem for generalized subdiffusion equation perturbed by locally Lipschitz sources. (English) Zbl 1510.35388 Z. Angew. Math. Phys. 74, No. 2, Paper No. 65, 25 p. (2023). MSC: 35R11 35B40 35C15 35R09 45D05 45K05 PDFBibTeX XMLCite \textit{T. Van Tuan}, Z. Angew. Math. Phys. 74, No. 2, Paper No. 65, 25 p. (2023; Zbl 1510.35388) Full Text: DOI
Chen, Hao; Qiu, Wenlin; Zaky, Mahmoud A.; Hendy, Ahmed S. A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. (English) Zbl 1508.65100 Calcolo 60, No. 1, Paper No. 13, 30 p. (2023). MSC: 65M06 65N06 65M55 65M12 65M15 65M22 45K05 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{H. Chen} et al., Calcolo 60, No. 1, Paper No. 13, 30 p. (2023; Zbl 1508.65100) Full Text: DOI arXiv
Park, Daehan Weighted maximal \(L_q (L_p)\)-regularity theory for time-fractional diffusion-wave equations with variable coefficients. (English) Zbl 1505.35075 J. Evol. Equ. 23, No. 1, Paper No. 12, 35 p. (2023). MSC: 35B65 35B45 35R09 45K05 26A33 46B70 47B38 PDFBibTeX XMLCite \textit{D. Park}, J. Evol. Equ. 23, No. 1, Paper No. 12, 35 p. (2023; Zbl 1505.35075) Full Text: DOI arXiv
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
Tuan, Tran van Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources. (English) Zbl 1504.35654 Evol. Equ. Control Theory 12, No. 1, 336-361 (2023). MSC: 35R30 35B65 35C15 35R11 45D05 45K05 PDFBibTeX XMLCite \textit{T. van Tuan}, Evol. Equ. Control Theory 12, No. 1, 336--361 (2023; Zbl 1504.35654) Full Text: DOI
Qiu, Wenlin; Xiao, Xu; Li, Kexin Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity. (English) Zbl 1524.65978 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106804, 19 p. (2023). MSC: 65R20 45K05 35R11 65M12 65M22 65M60 PDFBibTeX XMLCite \textit{W. Qiu} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106804, 19 p. (2023; Zbl 1524.65978) Full Text: DOI arXiv
Kazmi, Kamran A second order numerical method for the time-fractional Black-Scholes European option pricing model. (English) Zbl 1502.91058 J. Comput. Appl. Math. 418, Article ID 114647, 17 p. (2023). MSC: 91G60 65N06 65D25 65D30 65B05 35R09 35R11 35Q91 45K05 65R20 65M12 91G20 PDFBibTeX XMLCite \textit{K. Kazmi}, J. Comput. Appl. Math. 418, Article ID 114647, 17 p. (2023; Zbl 1502.91058) Full Text: DOI
Djaghout, Manal; Chaoui, Abderrazak; Zennir, Khaled Full discretization to an hyperbolic equation with nonlocal coefficient. (English) Zbl 07801841 Bol. Soc. Parana. Mat. (3) 40, Paper No. 53, 14 p. (2022). MSC: 35K45 26A33 45K05 PDFBibTeX XMLCite \textit{M. Djaghout} et al., Bol. Soc. Parana. Mat. (3) 40, Paper No. 53, 14 p. (2022; Zbl 07801841) Full Text: DOI
D’Elia, Marta; Glusa, Christian A fractional model for anomalous diffusion with increased variability: analysis, algorithms and applications to interface problems. (English) Zbl 07779691 Numer. Methods Partial Differ. Equations 38, No. 6, 2084-2103 (2022). MSC: 65N30 65N12 35J05 35B65 47N20 45P05 31C25 35A01 35A02 26A33 35R11 35R99 PDFBibTeX XMLCite \textit{M. D'Elia} and \textit{C. Glusa}, Numer. Methods Partial Differ. Equations 38, No. 6, 2084--2103 (2022; Zbl 07779691) Full Text: DOI arXiv
Qiu, Wenlin; Xu, Da; Guo, Jing A formally second-order backward differentiation formula sinc-collocation method for the Volterra integro-differential equation with a weakly singular kernel based on the double exponential transformation. (English) Zbl 07778273 Numer. Methods Partial Differ. Equations 38, No. 4, 830-847 (2022). MSC: 65M70 65M06 65N35 65M12 65M15 45D05 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{W. Qiu} et al., Numer. Methods Partial Differ. Equations 38, No. 4, 830--847 (2022; Zbl 07778273) Full Text: DOI
Cingolani, Silvia; Gallo, Marco On some qualitative aspects for doubly nonlocal equations. (English) Zbl 1518.35623 Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3603-3620 (2022). MSC: 35R11 35B06 35B09 35B38 35B65 35J61 35Q40 35R09 45M20 PDFBibTeX XMLCite \textit{S. Cingolani} and \textit{M. Gallo}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3603--3620 (2022; Zbl 1518.35623) Full Text: DOI
Bouin, Émeric; Mouhot, Clément Quantitative fluid approximation in transport theory: a unified approach. (English) Zbl 1511.35348 Probab. Math. Phys. 3, No. 3, 491-542 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q84 35Q35 76P05 82C40 82C70 82D05 26A33 35A23 35R11 45A05 60K50 35P25 60G51 60J65 PDFBibTeX XMLCite \textit{É. Bouin} and \textit{C. Mouhot}, Probab. Math. Phys. 3, No. 3, 491--542 (2022; Zbl 1511.35348) Full Text: DOI arXiv
Ilolov, M. I. Fractional linear Volterra integro-differential equations in Banach spaces. (English. Russian original) Zbl 1510.45002 J. Math. Sci., New York 268, No. 1, 56-62 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 58-64 (2019). Reviewer: Kai Diethelm (Schweinfurt) MSC: 45D05 45K05 45N05 26A33 47G20 PDFBibTeX XMLCite \textit{M. I. Ilolov}, J. Math. Sci., New York 268, No. 1, 56--62 (2022; Zbl 1510.45002); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 58--64 (2019) Full Text: DOI
Wang, Yifei; Huang, Jin; Deng, Ting; Li, Hu An efficient numerical approach for solving variable-order fractional partial integro-differential equations. (English) Zbl 1513.65426 Comput. Appl. Math. 41, No. 8, Paper No. 411, 25 p. (2022). MSC: 65M70 11B68 45K05 35R11 26A33 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Appl. Math. 41, No. 8, Paper No. 411, 25 p. (2022; Zbl 1513.65426) Full Text: DOI
Luo, Ziyang; Zhang, Xingdong; Wang, Shuo; Yao, Lin Numerical approximation of time fractional partial integro-differential equation based on compact finite difference scheme. (English) Zbl 1504.65291 Chaos Solitons Fractals 161, Article ID 112395, 8 p. (2022). MSC: 65R20 65M12 35R11 45K05 PDFBibTeX XMLCite \textit{Z. Luo} et al., Chaos Solitons Fractals 161, Article ID 112395, 8 p. (2022; Zbl 1504.65291) Full Text: DOI
Sin, Chung-Sik; Rim, Jin-U; Choe, Hyon-Sok Initial-boundary value problems for multi-term time-fractional wave equations. (English) Zbl 1503.35275 Fract. Calc. Appl. Anal. 25, No. 5, 1994-2019 (2022). MSC: 35R11 33E12 35B30 35B40 35C10 35D30 45K05 26A33 PDFBibTeX XMLCite \textit{C.-S. Sin} et al., Fract. Calc. Appl. Anal. 25, No. 5, 1994--2019 (2022; Zbl 1503.35275) Full Text: DOI
Atta, A. G.; Youssri, Y. H. Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1513.65398 Comput. Appl. Math. 41, No. 8, Paper No. 381, 19 p. (2022). MSC: 65M70 65M15 45K05 33C45 35R09 41A50 26A33 35R11 PDFBibTeX XMLCite \textit{A. G. Atta} and \textit{Y. H. Youssri}, Comput. Appl. Math. 41, No. 8, Paper No. 381, 19 p. (2022; Zbl 1513.65398) Full Text: DOI
Qiao, Leijie; Wang, Zhibo; Xu, Da An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel. (English) Zbl 1513.65303 Int. J. Comput. Math. 99, No. 12, 2542-2554 (2022). MSC: 65M06 65N06 65D30 65F50 65M12 65M15 35R09 45K05 45D05 74K10 74K15 26A33 PDFBibTeX XMLCite \textit{L. Qiao} et al., Int. J. Comput. Math. 99, No. 12, 2542--2554 (2022; Zbl 1513.65303) Full Text: DOI
Qiao, Leijie; Xu, Da; Wang, Zhibo Orthogonal spline collocation method for the two-dimensional time fractional mobile-immobile equation. (English) Zbl 07597396 J. Appl. Math. Comput. 68, No. 5, 3199-3217 (2022). MSC: 65-XX 35R11 45E10 65M70 65M15 PDFBibTeX XMLCite \textit{L. Qiao} et al., J. Appl. Math. Comput. 68, No. 5, 3199--3217 (2022; Zbl 07597396) Full Text: DOI
Ahmed, A. M. Sayed Existence and uniqueness of mild solutions to neutral impulsive fractional stochastic delay differential equations driven by both Brownian motion and fractional Brownian motion. (English) Zbl 1513.60040 Differ. Equ. Appl. 14, No. 3, 433-446 (2022). MSC: 60G22 45N05 60H15 35R12 PDFBibTeX XMLCite \textit{A. M. S. Ahmed}, Differ. Equ. Appl. 14, No. 3, 433--446 (2022; Zbl 1513.60040) Full Text: DOI
Cingolani, Silvia; Gallo, Marco; Tanaka, Kazunaga On fractional Schrödinger equations with Hartree type nonlinearities. (English) Zbl 1496.35422 Math. Eng. (Springfield) 4, No. 6, Paper No. 56, 33 p. (2022). MSC: 35R11 35B38 35B40 35J20 35J61 35Q55 35R09 45M05 PDFBibTeX XMLCite \textit{S. Cingolani} et al., Math. Eng. (Springfield) 4, No. 6, Paper No. 56, 33 p. (2022; Zbl 1496.35422) Full Text: DOI arXiv
Ruzhansky, Michael; Serikbaev, Daurenbek; Torebek, Berikbol T.; Tokmagambetov, Niyaz Direct and inverse problems for time-fractional pseudo-parabolic equations. (English) Zbl 1495.35201 Quaest. Math. 45, No. 7, 1071-1089 (2022). MSC: 35R11 35D30 35K70 35R30 45K05 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., Quaest. Math. 45, No. 7, 1071--1089 (2022; Zbl 1495.35201) Full Text: DOI arXiv
Taghipour, M.; Aminikhah, H. Pell collocation method for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1502.65145 J. Funct. Spaces 2022, Article ID 8063888, 15 p. (2022). MSC: 65M60 65H10 65M12 35R09 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{M. Taghipour} and \textit{H. Aminikhah}, J. Funct. Spaces 2022, Article ID 8063888, 15 p. (2022; Zbl 1502.65145) Full Text: DOI
Cen, Da-kang; Wang, Zhi-bo; Mo, Yan A compact difference scheme on graded meshes for the nonlinear fractional integro-differential equation with non-smooth solutions. (English) Zbl 1492.65232 Acta Math. Appl. Sin., Engl. Ser. 38, No. 3, 601-613 (2022). MSC: 65M06 65N06 65K10 65M12 65M15 35R09 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{D.-k. Cen} et al., Acta Math. Appl. Sin., Engl. Ser. 38, No. 3, 601--613 (2022; Zbl 1492.65232) Full Text: DOI
Wang, Hanxiao; Yong, Jiongmin; Zhang, Jianfeng Path dependent Feynman-Kac formula for forward backward stochastic Volterra integral equations. (English. French summary) Zbl 1494.35071 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 2, 603-638 (2022). MSC: 35D40 35K10 35R60 45D05 60G22 60H20 PDFBibTeX XMLCite \textit{H. Wang} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 2, 603--638 (2022; Zbl 1494.35071) Full Text: DOI arXiv
Alikhanov, Anatoly A.; Huang, Chengming A class of time-fractional diffusion equations with generalized fractional derivatives. (English) Zbl 1492.65255 J. Comput. Appl. Math. 414, Article ID 114424, 6 p. (2022). MSC: 65M22 26A33 35R11 35R09 45K05 PDFBibTeX XMLCite \textit{A. A. Alikhanov} and \textit{C. Huang}, J. Comput. Appl. Math. 414, Article ID 114424, 6 p. (2022; Zbl 1492.65255) Full Text: DOI
Sin, Chung-Sik Cauchy problem for nonlocal diffusion equations modelling Lévy flights. (English) Zbl 1499.35684 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 18, 22 p. (2022). MSC: 35R11 35A08 35B40 35C15 45K05 47G20 PDFBibTeX XMLCite \textit{C.-S. Sin}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 18, 22 p. (2022; Zbl 1499.35684) Full Text: DOI
Taghipour, M.; Aminikhah, H. A fast collocation method for solving the weakly singular fractional integro-differential equation. (English) Zbl 1499.65355 Comput. Appl. Math. 41, No. 4, Paper No. 142, 38 p. (2022). MSC: 65L60 65L20 45J05 34K37 PDFBibTeX XMLCite \textit{M. Taghipour} and \textit{H. Aminikhah}, Comput. Appl. Math. 41, No. 4, Paper No. 142, 38 p. (2022; Zbl 1499.65355) Full Text: DOI
Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. (English) Zbl 1510.35383 Appl. Math. Comput. 424, Article ID 127033, 19 p. (2022). MSC: 35R11 45G10 65R20 PDFBibTeX XMLCite \textit{H. Okrasińska-Płociniczak} and \textit{Ł. Płociniczak}, Appl. Math. Comput. 424, Article ID 127033, 19 p. (2022; Zbl 1510.35383) Full Text: DOI arXiv
Feng, Xiaobing; Sutton, Mitchell On a new class of fractional calculus of variations and related fractional differential equations. (English) Zbl 1499.35636 Differ. Integral Equ. 35, No. 5-6, 299-338 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 35R11 45G05 49J99 PDFBibTeX XMLCite \textit{X. Feng} and \textit{M. Sutton}, Differ. Integral Equ. 35, No. 5--6, 299--338 (2022; Zbl 1499.35636) Full Text: arXiv
Fritz, Marvin; Rajendran, Mabel L.; Wohlmuth, Barbara Time-fractional Cahn-Hilliard equation: well-posedness, degeneracy, and numerical solutions. (English) Zbl 07469171 Comput. Math. Appl. 108, 66-87 (2022). MSC: 65Mxx 26A33 35R11 45K05 65M60 65M12 PDFBibTeX XMLCite \textit{M. Fritz} et al., Comput. Math. Appl. 108, 66--87 (2022; Zbl 07469171) Full Text: DOI arXiv
Qiao, Leijie; Xu, Da; Qiu, Wenlin The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space. (English) Zbl 1484.65345 Appl. Numer. Math. 172, 359-381 (2022). MSC: 65R20 45K05 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{L. Qiao} et al., Appl. Numer. Math. 172, 359--381 (2022; Zbl 1484.65345) Full Text: DOI
Mittal, Avinash Kumar Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation. (English) Zbl 1482.65241 Appl. Numer. Math. 171, 249-268 (2022). MSC: 65R20 65M70 34K37 45D05 45K05 65M12 65M15 PDFBibTeX XMLCite \textit{A. K. Mittal}, Appl. Numer. Math. 171, 249--268 (2022; Zbl 1482.65241) Full Text: DOI
Niebel, Lukas Kinetic maximal \(L_\mu^p(L^p)\)-regularity for the fractional Kolmogorov equation with variable density. (English) Zbl 1476.35067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112517, 21 p. (2022). MSC: 35B45 35B65 35K59 35K65 35R11 45K05 PDFBibTeX XMLCite \textit{L. Niebel}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112517, 21 p. (2022; Zbl 1476.35067) Full Text: DOI arXiv
Santra, S.; Mohapatra, J. A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type. (English) Zbl 1496.65128 J. Comput. Appl. Math. 400, Article ID 113746, 13 p. (2022). MSC: 65M06 65N06 65M15 65M12 35R09 65R20 45K05 45D05 35R11 PDFBibTeX XMLCite \textit{S. Santra} and \textit{J. Mohapatra}, J. Comput. Appl. Math. 400, Article ID 113746, 13 p. (2022; Zbl 1496.65128) Full Text: DOI
Luchko, Yuri; Yamamoto, Masahiro Comparison principles for the linear and semiliniar time-fractional diffusion equations with the Robin boundary condition. arXiv:2208.04606 Preprint, arXiv:2208.04606 [math.AP] (2022). MSC: 26A33 35B30 35L05 35R11 35R30 45K05 60E99 BibTeX Cite \textit{Y. Luchko} and \textit{M. Yamamoto}, ``Comparison principles for the linear and semiliniar time-fractional diffusion equations with the Robin boundary condition'', Preprint, arXiv:2208.04606 [math.AP] (2022) Full Text: arXiv OA License
Babaei, Afshin; Banihashemi, Seddigheh; Cattani, Carlo An efficient numerical approach to solve a class of variable-order fractional integro-partial differential equations. (English) Zbl 07777716 Numer. Methods Partial Differ. Equations 37, No. 1, 674-689 (2021). MSC: 65M06 65M70 65N35 35R09 45D05 26A33 35R11 PDFBibTeX XMLCite \textit{A. Babaei} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 674--689 (2021; Zbl 07777716) Full Text: DOI
Saha Ray, Santanu A new approach by two-dimensional wavelets operational matrix method for solving variable-order fractional partial integro-differential equations. (English) Zbl 07777700 Numer. Methods Partial Differ. Equations 37, No. 1, 341-359 (2021). MSC: 65N35 65T60 42C10 35R09 45D05 26A33 35R11 PDFBibTeX XMLCite \textit{S. Saha Ray}, Numer. Methods Partial Differ. Equations 37, No. 1, 341--359 (2021; Zbl 07777700) Full Text: DOI
Van Bockstal, Karel Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order. (English) Zbl 1494.35170 Adv. Difference Equ. 2021, Paper No. 314, 43 p. (2021). MSC: 35R11 26A33 45K05 65R20 PDFBibTeX XMLCite \textit{K. Van Bockstal}, Adv. Difference Equ. 2021, Paper No. 314, 43 p. (2021; Zbl 1494.35170) Full Text: DOI
Suechoei, Apassara; Sa Ngiamsunthorn, Parinya Extremal solutions of \(\varphi\)-Caputo fractional evolution equations involving integral kernels. (English) Zbl 1484.34170 AIMS Math. 6, No. 5, 4734-4757 (2021). MSC: 34K30 34K37 35R11 45J05 PDFBibTeX XMLCite \textit{A. Suechoei} and \textit{P. Sa Ngiamsunthorn}, AIMS Math. 6, No. 5, 4734--4757 (2021; Zbl 1484.34170) Full Text: DOI
Jassim, H. K.; Ahmad, H.; Shamaoon, A.; Cesarano, C. An efficient hybrid technique for the solution of fractional-order partial differential equations. (English) Zbl 1480.35392 Carpathian Math. Publ. 13, No. 3, 790-804 (2021). MSC: 35R11 45K05 PDFBibTeX XMLCite \textit{H. K. Jassim} et al., Carpathian Math. Publ. 13, No. 3, 790--804 (2021; Zbl 1480.35392) Full Text: DOI
Wu, Qingqing; Wu, Zhongshu; Zeng, Xiaoyan A Jacobi spectral collocation method for solving fractional integro-differential equations. (English) Zbl 1499.65582 Commun. Appl. Math. Comput. 3, No. 3, 509-526 (2021). MSC: 65M70 35R11 26A33 65M12 45K05 45D05 65D32 PDFBibTeX XMLCite \textit{Q. Wu} et al., Commun. Appl. Math. Comput. 3, No. 3, 509--526 (2021; Zbl 1499.65582) Full Text: DOI
Shu, Ji; Li, Linyan; Huang, Xin; Zhang, Jian Limiting behavior of fractional stochastic integro-differential equations on unbounded domains. (English) Zbl 1489.37093 Math. Control Relat. Fields 11, No. 4, 715-737 (2021). MSC: 37L55 37H30 37L30 60H15 45R05 35R11 35Q56 PDFBibTeX XMLCite \textit{J. Shu} et al., Math. Control Relat. Fields 11, No. 4, 715--737 (2021; Zbl 1489.37093) Full Text: DOI
Lastra, Alberto; Michalik, Sławomir; Suwińska, Maria Summability of formal solutions for a family of generalized moment integro-differential equations. (English) Zbl 1498.45011 Fract. Calc. Appl. Anal. 24, No. 5, 1445-1476 (2021). MSC: 45J05 35C10 35R11 40D05 40C10 PDFBibTeX XMLCite \textit{A. Lastra} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1445--1476 (2021; Zbl 1498.45011) Full Text: DOI arXiv
Jiang, Xiaoying; Xu, Xiang On implied volatility recovery of a time-fractional Black-Scholes equation for double barrier options. (English) Zbl 1484.91518 Appl. Anal. 100, No. 15, 3145-3160 (2021). Reviewer: Deshna Loonker (Jodhpur) MSC: 91G60 65M06 65R20 35R11 45Q05 91G20 45B05 PDFBibTeX XMLCite \textit{X. Jiang} and \textit{X. Xu}, Appl. Anal. 100, No. 15, 3145--3160 (2021; Zbl 1484.91518) Full Text: DOI
Qiao, Leijie; Qiu, Wenlin; Xu, Da A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. (English) Zbl 1524.65386 Comput. Math. Appl. 102, 137-145 (2021). MSC: 65M06 35K57 35R11 45K05 65M12 65M22 65M50 65R20 PDFBibTeX XMLCite \textit{L. Qiao} et al., Comput. Math. Appl. 102, 137--145 (2021; Zbl 1524.65386) Full Text: DOI
Berrabah, Fatima; Boukrouche, Mahdi; Hedia, Benaouda Fractional derivatives with respect to time for non-classical heat problem. (English) Zbl 1499.35307 J. Math. Phys. Anal. Geom. 17, No. 1, 30-53 (2021). MSC: 35K05 26A33 35R11 45D05 PDFBibTeX XMLCite \textit{F. Berrabah} et al., J. Math. Phys. Anal. Geom. 17, No. 1, 30--53 (2021; Zbl 1499.35307) Full Text: Link
Qiao, Leijie; Xu, Da A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. (English) Zbl 1496.65184 Adv. Comput. Math. 47, No. 5, Paper No. 64, 22 p. (2021). MSC: 65M70 65M06 65N35 65D07 65M12 65M15 35R09 26A33 35R11 45E10 PDFBibTeX XMLCite \textit{L. Qiao} and \textit{D. Xu}, Adv. Comput. Math. 47, No. 5, Paper No. 64, 22 p. (2021; Zbl 1496.65184) Full Text: DOI
Liu, Yanling; Yang, Xuehua; Zhang, Haixiang; Liu, Yuan Analysis of BDF2 finite difference method for fourth-order integro-differential equation. (English) Zbl 1476.65180 Comput. Appl. Math. 40, No. 2, Paper No. 57, 20 p. (2021). MSC: 65M06 35R11 45K05 65M12 65M15 65R20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Appl. Math. 40, No. 2, Paper No. 57, 20 p. (2021; Zbl 1476.65180) Full Text: DOI
Li, Yimei The local behavior of positive solutions for higher order equation with isolated singularities. (English) Zbl 1472.35066 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 201, 19 p. (2021). MSC: 35B44 35R11 35J30 45M05 PDFBibTeX XMLCite \textit{Y. Li}, Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 201, 19 p. (2021; Zbl 1472.35066) Full Text: DOI arXiv
Karaa, Samir Positivity of discrete time-fractional operators with applications to phase-field equations. (English) Zbl 1528.65048 SIAM J. Numer. Anal. 59, No. 4, 2040-2053 (2021). MSC: 65M06 65M12 65R20 45K05 35B09 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{S. Karaa}, SIAM J. Numer. Anal. 59, No. 4, 2040--2053 (2021; Zbl 1528.65048) Full Text: DOI
Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemí Large-time behavior for a fully nonlocal heat equation. (English) Zbl 1471.35044 Vietnam J. Math. 49, No. 3, 831-844 (2021). MSC: 35B40 35R11 35K15 35R09 45K05 PDFBibTeX XMLCite \textit{C. Cortázar} et al., Vietnam J. Math. 49, No. 3, 831--844 (2021; Zbl 1471.35044) Full Text: DOI arXiv
Li, Buyang; Wang, Hong; Wang, Jilu Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. (English) Zbl 1490.65201 ESAIM, Math. Model. Numer. Anal. 55, No. 1, 171-207 (2021). MSC: 65M60 35R11 45K05 65M12 65M15 PDFBibTeX XMLCite \textit{B. Li} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 1, 171--207 (2021; Zbl 1490.65201) Full Text: DOI
Liu, Wei; Röckner, Michael; Luís da Silva, José Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. (English) Zbl 1469.35227 J. Funct. Anal. 281, No. 8, Article ID 109135, 34 p. (2021). MSC: 35R11 60H15 35K59 76S05 26A33 45K05 35K92 PDFBibTeX XMLCite \textit{W. Liu} et al., J. Funct. Anal. 281, No. 8, Article ID 109135, 34 p. (2021; Zbl 1469.35227) Full Text: DOI arXiv
Cai, Chunhao; Xiao, Weilin Simulation of an integro-differential equation and application in estimation of ruin probability with mixed fractional Brownian motion. (English) Zbl 1504.65010 J. Integral Equations Appl. 33, No. 1, 1-17 (2021). MSC: 65C30 35R09 45K05 60G15 60G44 60G22 65R20 PDFBibTeX XMLCite \textit{C. Cai} and \textit{W. Xiao}, J. Integral Equations Appl. 33, No. 1, 1--17 (2021; Zbl 1504.65010) Full Text: DOI arXiv
Wang, Zhibo; Liang, Yuxiang; Mo, Yan A novel high order compact ADI scheme for two dimensional fractional integro-differential equations. (English) Zbl 1476.65194 Appl. Numer. Math. 167, 257-272 (2021). MSC: 65M06 65N06 65M12 35R09 45J05 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Wang} et al., Appl. Numer. Math. 167, 257--272 (2021; Zbl 1476.65194) Full Text: DOI
Safdari, Hamid; Rajabzadeh, Majid; Khalighi, Moein Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method. (English) Zbl 1475.65130 Appl. Numer. Math. 165, 22-34 (2021). MSC: 65M60 65D12 33E12 35K57 45E05 26A33 35R11 PDFBibTeX XMLCite \textit{H. Safdari} et al., Appl. Numer. Math. 165, 22--34 (2021; Zbl 1475.65130) Full Text: DOI
Qiu, Wenlin; Xu, Da; Guo, Jing Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation. (English) Zbl 1488.65753 Appl. Math. Comput. 392, Article ID 125693, 16 p. (2021). MSC: 65R20 45K05 35R11 65M70 65M12 PDFBibTeX XMLCite \textit{W. Qiu} et al., Appl. Math. Comput. 392, Article ID 125693, 16 p. (2021; Zbl 1488.65753) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen A novel direct method based on the Lucas multiwavelet functions for variable-order fractional reaction-diffusion and subdiffusion equations. (English) Zbl 07332759 Numer. Linear Algebra Appl. 28, No. 2, e2346, 20 p. (2021). Reviewer: Costică Moroşanu (Iaşi) MSC: 26A33 44A10 45K05 35R11 65M12 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Numer. Linear Algebra Appl. 28, No. 2, e2346, 20 p. (2021; Zbl 07332759) Full Text: DOI
Qiu, Wenlin; Xu, Da; Guo, Jing The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. (English) Zbl 1459.65189 Appl. Numer. Math. 159, 239-258 (2021). MSC: 65M60 65M70 65M12 45K05 45E10 35R09 65D30 15B05 35R11 65M06 PDFBibTeX XMLCite \textit{W. Qiu} et al., Appl. Numer. Math. 159, 239--258 (2021; Zbl 1459.65189) Full Text: DOI
Eltayeb, Hassan; Bachar, Imed; Abdalla, Yahya T. A note on time-fractional Navier-Stokes equation and multi-Laplace transform decomposition method. (English) Zbl 1486.35423 Adv. Difference Equ. 2020, Paper No. 519, 18 p. (2020). MSC: 35R11 26A33 35Q30 45K05 44A10 PDFBibTeX XMLCite \textit{H. Eltayeb} et al., Adv. Difference Equ. 2020, Paper No. 519, 18 p. (2020; Zbl 1486.35423) Full Text: DOI
Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation. (English) Zbl 1480.65207 Int. J. Comput. Math. 97, No. 5, 1100-1117 (2020). MSC: 65M06 35R11 45K05 65D32 PDFBibTeX XMLCite \textit{H. Chen} et al., Int. J. Comput. Math. 97, No. 5, 1100--1117 (2020; Zbl 1480.65207) Full Text: DOI
Guo, Jing; Xu, Da A compact difference scheme for the time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1488.45039 Adv. Appl. Math. Mech. 12, No. 5, 1261-1279 (2020). MSC: 45K05 65R20 26A33 PDFBibTeX XMLCite \textit{J. Guo} and \textit{D. Xu}, Adv. Appl. Math. Mech. 12, No. 5, 1261--1279 (2020; Zbl 1488.45039) Full Text: DOI
Herman, John; Johnston, Ifan; Toniazzi, Lorenzo Space-time coupled evolution equations and their stochastic solutions. (English) Zbl 1469.35222 Electron. J. Probab. 25, Paper No. 147, 21 p. (2020). MSC: 35R11 35C15 45K05 60H30 PDFBibTeX XMLCite \textit{J. Herman} et al., Electron. J. Probab. 25, Paper No. 147, 21 p. (2020; Zbl 1469.35222) Full Text: DOI arXiv
Mohammadi, Amir; Aghazadeh, Naser; Rezapour, Shahram Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions. (English) Zbl 1474.35668 Comput. Methods Differ. Equ. 8, No. 4, 610-638 (2020). MSC: 35R11 65T60 45L05 PDFBibTeX XMLCite \textit{A. Mohammadi} et al., Comput. Methods Differ. Equ. 8, No. 4, 610--638 (2020; Zbl 1474.35668) Full Text: DOI
Pskhu, Arsen Nakhushev extremum principle for a class of integro-differential operators. (English) Zbl 1474.26027 Fract. Calc. Appl. Anal. 23, No. 6, 1712-1722 (2020). MSC: 26A33 26D10 26A24 45K05 PDFBibTeX XMLCite \textit{A. Pskhu}, Fract. Calc. Appl. Anal. 23, No. 6, 1712--1722 (2020; Zbl 1474.26027) Full Text: DOI
Tuan, Vu Kim Fractional integro-differential equations in Wiener spaces. (English) Zbl 1467.45019 Fract. Calc. Appl. Anal. 23, No. 5, 1300-1328 (2020). MSC: 45K05 26A33 44A10 35D35 35R30 PDFBibTeX XMLCite \textit{V. K. Tuan}, Fract. Calc. Appl. Anal. 23, No. 5, 1300--1328 (2020; Zbl 1467.45019) Full Text: DOI
Lopushans’ka, H. P.; Lopushans’kyĭ, A. O. Regular solution of the inverse problem with integral condition for a time-fractional equation. (Ukrainian. English summary) Zbl 1474.80010 Bukovyn. Mat. Zh. 8, No. 2, 103-113 (2020). MSC: 80A23 35S10 26A33 35R11 35A02 35R09 45K05 65M80 65T50 65M32 PDFBibTeX XMLCite \textit{H. P. Lopushans'ka} and \textit{A. O. Lopushans'kyĭ}, Bukovyn. Mat. Zh. 8, No. 2, 103--113 (2020; Zbl 1474.80010) Full Text: DOI
Yang, Yin; Wang, Jindi; Zhang, Shangyou; Tohidi, Emran Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. (English) Zbl 1488.65525 Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020). MSC: 65M70 33C45 35Q40 41A55 41A25 65D32 35R09 45K05 45D05 35R11 26A33 65F10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020; Zbl 1488.65525) Full Text: DOI
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia Stein-Weiss inequalities with the fractional Poisson kernel. (English) Zbl 1459.35006 Rev. Mat. Iberoam. 36, No. 5, 1289-1308 (2020). MSC: 35A23 35R11 35B40 45G15 PDFBibTeX XMLCite \textit{L. Chen} et al., Rev. Mat. Iberoam. 36, No. 5, 1289--1308 (2020; Zbl 1459.35006) Full Text: DOI arXiv
Zhu, Jianbo; Fu, Xianlong Existence results for neutral integro-differential equations with nonlocal conditions. (English) Zbl 1465.45011 J. Integral Equations Appl. 32, No. 2, 239-258 (2020). MSC: 45K05 47N20 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{X. Fu}, J. Integral Equations Appl. 32, No. 2, 239--258 (2020; Zbl 1465.45011) Full Text: DOI Euclid
Zeng, Shengda; Migórski, Stanisław; Nguyen, Van Thien; Bai, Yunru Maximum principles for a class of generalized time-fractional diffusion equations. (English) Zbl 1488.35587 Fract. Calc. Appl. Anal. 23, No. 3, 822-836 (2020). MSC: 35R11 35B50 35J60 35S10 45K05 26A33 33E12 PDFBibTeX XMLCite \textit{S. Zeng} et al., Fract. Calc. Appl. Anal. 23, No. 3, 822--836 (2020; Zbl 1488.35587) Full Text: DOI
Li, Yayun; Chen, Qinghua; Lei, Yutian A Liouville theorem for the fractional Ginzburg-Landau equation. (English) Zbl 1464.45006 C. R., Math., Acad. Sci. Paris 358, No. 6, 727-731 (2020). MSC: 45G05 45G10 45E10 35Q56 35R11 PDFBibTeX XMLCite \textit{Y. Li} et al., C. R., Math., Acad. Sci. Paris 358, No. 6, 727--731 (2020; Zbl 1464.45006) Full Text: DOI arXiv