Wen, Jin; Wang, Yong-Ping; Wang, Yu-Xin; Wang, Yong-Qin The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation. (English) Zbl 07810046 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{J. Wen} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024; Zbl 07810046) Full Text: DOI
Ma, Wenjun; Sun, Liangliang Simultaneous recovery of two time-dependent coefficients in a multi-term time-fractional diffusion equation. (English) Zbl 07804034 Comput. Methods Appl. Math. 24, No. 1, 59-83 (2024). MSC: 35R30 35R25 35R11 65M30 PDFBibTeX XMLCite \textit{W. Ma} and \textit{L. Sun}, Comput. Methods Appl. Math. 24, No. 1, 59--83 (2024; Zbl 07804034) Full Text: DOI
D’Ovidio, Mirko; Iafrate, Francesco Elastic drifted Brownian motions and non-local boundary conditions. (English) Zbl 07785660 Stochastic Processes Appl. 167, Article ID 104228, 36 p. (2024). MSC: 60J65 60G52 35R11 60G22 60J60 PDFBibTeX XMLCite \textit{M. D'Ovidio} and \textit{F. Iafrate}, Stochastic Processes Appl. 167, Article ID 104228, 36 p. (2024; Zbl 07785660) Full Text: DOI arXiv
Dinh Nguyen Duy Hai On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem. (English) Zbl 1527.35489 J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 35R30 35R11 65M32 35R25 PDFBibTeX XMLCite \textit{Dinh Nguyen Duy Hai}, J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024; Zbl 1527.35489) Full Text: DOI
Guerngar, Ngartelbaye; Nane, Erkan; Ulusoy, Suleyman; van Wyk, Hans Werner A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion. (English) Zbl 07818964 Fract. Differ. Calc. 13, No. 1, 87-104 (2023). MSC: 35C10 35R11 35R25 35R30 PDFBibTeX XMLCite \textit{N. Guerngar} et al., Fract. Differ. Calc. 13, No. 1, 87--104 (2023; Zbl 07818964) Full Text: DOI arXiv
Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators. (English) Zbl 07817649 Math. Eng. (Springfield) 5, No. 1, Paper No. 14, 25 p. (2023). MSC: 35-XX 49-XX PDFBibTeX XMLCite \textit{S. Biagi} et al., Math. Eng. (Springfield) 5, No. 1, Paper No. 14, 25 p. (2023; Zbl 07817649) Full Text: DOI arXiv
Du, Qiang; Tian, Xiaochuan; Zhou, Zhi Nonlocal diffusion models with consistent local and fractional limits. (English) Zbl 07814301 Mengesha, Tadele (ed.) et al., A\(^3\) N\(^2\) M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 175-213 (2023). MSC: 65N30 35R11 47G10 46E35 PDFBibTeX XMLCite \textit{Q. Du} et al., IMA Vol. Math. Appl. 165, 175--213 (2023; Zbl 07814301) Full Text: DOI arXiv
Rogosin, S.; Dubatovskaya, M. Fractional Stefan problem: a survey of the recent results. (English) Zbl 07792169 Lobachevskii J. Math. 44, No. 8, 3535-3554 (2023). MSC: 35-02 35R11 35R35 35R37 PDFBibTeX XMLCite \textit{S. Rogosin} and \textit{M. Dubatovskaya}, Lobachevskii J. Math. 44, No. 8, 3535--3554 (2023; Zbl 07792169) Full Text: DOI
Cuesta, Carlota Maria; Diez-Izagirre, Xuban Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case. (English) Zbl 07790561 Czech. Math. J. 73, No. 4, 1057-1080 (2023). MSC: 35B40 47J35 26A33 PDFBibTeX XMLCite \textit{C. M. Cuesta} and \textit{X. Diez-Izagirre}, Czech. Math. J. 73, No. 4, 1057--1080 (2023; Zbl 07790561) Full Text: DOI arXiv
Sun, Liangliang; Wang, Yuxin; Chang, Maoli A fractional-order quasi-reversibility method to a backward problem for the multi-term time-fractional diffusion equation. (English) Zbl 07788924 Taiwanese J. Math. 27, No. 6, 1185-1210 (2023). MSC: 65L08 35R30 35R25 65M30 PDFBibTeX XMLCite \textit{L. Sun} et al., Taiwanese J. Math. 27, No. 6, 1185--1210 (2023; Zbl 07788924) Full Text: DOI
Pskhu, Arsen Transmutation operators intertwining first-order and distributed-order derivatives. (English) Zbl 07785683 Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 93, 17 p. (2023). MSC: 35R11 26A33 34A08 34A25 PDFBibTeX XMLCite \textit{A. Pskhu}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 93, 17 p. (2023; Zbl 07785683) Full Text: DOI
Kian, Yavar Equivalence of definitions of solutions for some class of fractional diffusion equations. (English) Zbl 07785050 Math. Nachr. 296, No. 12, 5617-5645 (2023). MSC: 35R11 35B30 35K20 35R05 PDFBibTeX XMLCite \textit{Y. Kian}, Math. Nachr. 296, No. 12, 5617--5645 (2023; Zbl 07785050) Full Text: DOI arXiv
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
Eftekhari, Tahereh; Rashidinia, Jalil A new operational vector approach for time-fractional subdiffusion equations of distributed order based on hybrid functions. (English) Zbl 07781131 Math. Methods Appl. Sci. 46, No. 1, 388-407 (2023). MSC: 35R11 65N35 PDFBibTeX XMLCite \textit{T. Eftekhari} and \textit{J. Rashidinia}, Math. Methods Appl. Sci. 46, No. 1, 388--407 (2023; Zbl 07781131) Full Text: DOI
Karimov, Erkinjon; Ruzhansky, Michael; Toshtemirov, Bakhodirjon Solvability of the boundary-value problem for a mixed equation involving hyper-Bessel fractional differential operator and bi-ordinal Hilfer fractional derivative. (English) Zbl 07781111 Math. Methods Appl. Sci. 46, No. 1, 54-70 (2023). MSC: 35M12 35R11 PDFBibTeX XMLCite \textit{E. Karimov} et al., Math. Methods Appl. Sci. 46, No. 1, 54--70 (2023; Zbl 07781111) Full Text: DOI
Yu, Qiang; Turner, Ian; Liu, Fawang; Moroney, Timothy A study of distributed-order time fractional diffusion models with continuous distribution weight functions. (English) Zbl 07779715 Numer. Methods Partial Differ. Equations 39, No. 1, 383-420 (2023). MSC: 65M06 65M12 65D32 44A10 35B40 PDFBibTeX XMLCite \textit{Q. Yu} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 383--420 (2023; Zbl 07779715) Full Text: DOI
Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. (English) Zbl 07776962 Numer. Methods Partial Differ. Equations 39, No. 2, 1266-1286 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1266--1286 (2023; Zbl 07776962) Full Text: DOI
Tuan, Nguyen Huy; Nguyen, Anh Tuan; Debbouche, Amar; Antonov, Valery Well-posedness results for nonlinear fractional diffusion equation with memory quantity. (English) Zbl 1527.35480 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2815-2838 (2023). MSC: 35R11 35B65 26A33 35K20 35R09 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2815--2838 (2023; Zbl 1527.35480) Full Text: DOI
Kian, Yavar; Soccorsi, Éric Solving time-fractional diffusion equations with a singular source term. (English) Zbl 1526.35290 Inverse Probl. 39, No. 12, Article ID 125005, 12 p. (2023). MSC: 35R11 35R30 PDFBibTeX XMLCite \textit{Y. Kian} and \textit{É. Soccorsi}, Inverse Probl. 39, No. 12, Article ID 125005, 12 p. (2023; Zbl 1526.35290) Full Text: DOI arXiv
Wu, Zijian; Zhang, Xi Existence and multiplicity of solutions for a mixed local-nonlocal system with logarithmic nonlinearities. (English) Zbl 1526.35302 Result. Math. 78, No. 6, Paper No. 240, 25 p. (2023). MSC: 35R11 35A15 35J25 35J61 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{X. Zhang}, Result. Math. 78, No. 6, Paper No. 240, 25 p. (2023; Zbl 1526.35302) Full Text: DOI
Dipierro, Serena; Giacomin, Giovanni; Valdinoci, Enrico Analysis of the Lévy flight foraging hypothesis in \(\mathbb{R}^n\) and unreliability of the most rewarding strategies. (English) Zbl 1527.35435 SIAM J. Appl. Math. 83, No. 5, 1935-1968 (2023). MSC: 35Q92 92D25 92B05 60G51 60J65 46N60 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{S. Dipierro} et al., SIAM J. Appl. Math. 83, No. 5, 1935--1968 (2023; Zbl 1527.35435) Full Text: DOI
Ferrás, L. L.; Rebelo, M.; Morgado, M. L. The role of the weight function in the generalised distributed-order Maxwell model: the case of a distributed-springpot and a dashpot. (English) Zbl 1525.76006 Appl. Math. Modelling 122, 844-860 (2023). MSC: 76A10 35R11 PDFBibTeX XMLCite \textit{L. L. Ferrás} et al., Appl. Math. Modelling 122, 844--860 (2023; Zbl 1525.76006) Full Text: DOI
Faustino, Nelson On fractional semidiscrete Dirac operators of Lévy-Leblond type. (English) Zbl 1523.30061 Math. Nachr. 296, No. 7, 2758-2779 (2023). MSC: 30G35 35R11 39A12 47D06 PDFBibTeX XMLCite \textit{N. Faustino}, Math. Nachr. 296, No. 7, 2758--2779 (2023; Zbl 1523.30061) Full Text: DOI arXiv OA License
Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio A Faber-Krahn inequality for mixed local and nonlocal operators. (English) Zbl 1523.35228 J. Anal. Math. 150, No. 2, 405-448 (2023). MSC: 35P05 35J25 35R11 PDFBibTeX XMLCite \textit{S. Biagi} et al., J. Anal. Math. 150, No. 2, 405--448 (2023; Zbl 1523.35228) Full Text: DOI arXiv OA License
Huy Tuan, Nguyen Global existence and convergence results for a class of nonlinear time fractional diffusion equation. (English) Zbl 1522.35557 Nonlinearity 36, No. 10, 5144-5189 (2023). MSC: 35R11 35K15 35K58 PDFBibTeX XMLCite \textit{N. Huy Tuan}, Nonlinearity 36, No. 10, 5144--5189 (2023; Zbl 1522.35557) Full Text: DOI
Feng, Libo; Turner, Ian; Moroney, Timothy; Liu, Fawang Fractional potential: a new perspective on the fractional Laplacian problem on bounded domains. (English) Zbl 1523.35282 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107368, 19 p. (2023). MSC: 35R11 35A35 35K20 PDFBibTeX XMLCite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107368, 19 p. (2023; Zbl 1523.35282) Full Text: DOI
Derakhshan, Mohammad Hossein Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model. (English) Zbl 07731302 Comput. Math. Appl. 144, 150-163 (2023). MSC: 65-XX 35R11 65M12 26A33 65M06 65M60 PDFBibTeX XMLCite \textit{M. H. Derakhshan}, Comput. Math. Appl. 144, 150--163 (2023; Zbl 07731302) Full Text: DOI
Abatangelo, Nicola; Gómez-Castro, David; Vázquez, Juan Luis Singular boundary behaviour and large solutions for fractional elliptic equations. (English) Zbl 1521.35181 J. Lond. Math. Soc., II. Ser. 107, No. 2, 568-615 (2023). MSC: 35R11 35D30 35J08 35J25 35R09 PDFBibTeX XMLCite \textit{N. Abatangelo} et al., J. Lond. Math. Soc., II. Ser. 107, No. 2, 568--615 (2023; Zbl 1521.35181) Full Text: DOI arXiv
Anthal, G. C.; Giacomoni, J.; Sreenadh, K. A Choquard type equation involving mixed local and nonlocal operators. (English) Zbl 1519.35352 J. Math. Anal. Appl. 527, No. 2, Article ID 127440, 27 p. (2023). MSC: 35R11 35A15 35B65 35J62 35R09 PDFBibTeX XMLCite \textit{G. C. Anthal} et al., J. Math. Anal. Appl. 527, No. 2, Article ID 127440, 27 p. (2023; Zbl 1519.35352) Full Text: DOI arXiv
Zhu, Shouguo Optimal controls for fractional backward nonlocal evolution systems. (English) Zbl 1519.49002 Numer. Funct. Anal. Optim. 44, No. 8, 794-814 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49J15 49J27 34A08 26A33 34G10 35R11 47D06 PDFBibTeX XMLCite \textit{S. Zhu}, Numer. Funct. Anal. Optim. 44, No. 8, 794--814 (2023; Zbl 1519.49002) Full Text: DOI
Du, Qiang; Zhou, Zhi Nonlocal-in-time dynamics and crossover of diffusive regimes. (English) Zbl 1524.35783 Int. J. Numer. Anal. Model. 20, No. 3, 353-370 (2023). MSC: 35R35 49J40 60G40 PDFBibTeX XMLCite \textit{Q. Du} and \textit{Z. Zhou}, Int. J. Numer. Anal. Model. 20, No. 3, 353--370 (2023; Zbl 1524.35783) Full Text: DOI arXiv
Ansari, Alireza; Derakhshan, Mohammad Hossein On spectral polar fractional Laplacian. (English) Zbl 07700841 Math. Comput. Simul. 206, 636-663 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Ansari} and \textit{M. H. Derakhshan}, Math. Comput. Simul. 206, 636--663 (2023; Zbl 07700841) Full Text: DOI
Bhatt, H. P. Numerical simulation of high-dimensional two-component reaction-diffusion systems with fractional derivatives. (English) Zbl 1524.65315 Int. J. Comput. Math. 100, No. 1, 47-68 (2023). MSC: 65M06 65T50 35B36 65L06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{H. P. Bhatt}, Int. J. Comput. Math. 100, No. 1, 47--68 (2023; Zbl 1524.65315) Full Text: DOI
Pskhu, A. V. D’Alembert formula for diffusion-wave equation. (English) Zbl 07688847 Lobachevskii J. Math. 44, No. 2, 644-652 (2023). MSC: 26Axx 44Axx 35Rxx PDFBibTeX XMLCite \textit{A. V. Pskhu}, Lobachevskii J. Math. 44, No. 2, 644--652 (2023; Zbl 07688847) Full Text: DOI
Dang Duc Trong; Nguyen Dang Minh; Nguyen Nhu Lan; Nguyen Thi Mong Ngoc Continuity of the solution to a stochastic time-fractional diffusion equations in the spatial domain with locally Lipschitz sources. (English) Zbl 1514.60073 Acta Math. Vietnam. 48, No. 1, 237-257 (2023). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 60J60 35R60 60H40 PDFBibTeX XMLCite \textit{Dang Duc Trong} et al., Acta Math. Vietnam. 48, No. 1, 237--257 (2023; Zbl 1514.60073) Full Text: DOI
Santoyo Cano, Alejandro; Uribe Bravo, Gerónimo A Meyer-Itô formula for stable processes via fractional calculus. (English) Zbl 1511.60099 Fract. Calc. Appl. Anal. 26, No. 2, 619-650 (2023). MSC: 60H15 60H25 26A33 60G18 60G52 35R11 35R60 PDFBibTeX XMLCite \textit{A. Santoyo Cano} and \textit{G. Uribe Bravo}, Fract. Calc. Appl. Anal. 26, No. 2, 619--650 (2023; Zbl 1511.60099) Full Text: DOI arXiv
Górska, Katarzyna; Horzela, Andrzej Subordination and memory dependent kinetics in diffusion and relaxation phenomena. (English) Zbl 1511.45008 Fract. Calc. Appl. Anal. 26, No. 2, 480-512 (2023). MSC: 45K05 45R05 26A33 35R11 60G20 PDFBibTeX XMLCite \textit{K. Górska} and \textit{A. Horzela}, Fract. Calc. Appl. Anal. 26, No. 2, 480--512 (2023; Zbl 1511.45008) 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, Juan; Zhuang, Bo Boundary control of coupled non-constant parameter systems of time fractional PDEs with different-type boundary conditions. (English) Zbl 1512.93058 J. Syst. Sci. Complex. 36, No. 1, 273-293 (2023). MSC: 93C20 35R11 93B52 PDFBibTeX XMLCite \textit{J. Chen} and \textit{B. Zhuang}, J. Syst. Sci. Complex. 36, No. 1, 273--293 (2023; Zbl 1512.93058) Full Text: DOI
Bonyadi, Samira; Mahmoudi, Yaghoub; Lakestani, Mehrdad; Jahangiri, Rad Mohammad Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method. (English) Zbl 1524.65639 Comput. Methods Differ. Equ. 11, No. 1, 81-94 (2023). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Bonyadi} et al., Comput. Methods Differ. Equ. 11, No. 1, 81--94 (2023; Zbl 1524.65639) Full Text: DOI
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
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph Exponential convergence of hp FEM for spectral fractional diffusion in polygons. (English) Zbl 1511.65117 Numer. Math. 153, No. 1, 1-47 (2023). MSC: 65N30 65N50 65N12 65N15 35J86 35B35 26A33 35R11 PDFBibTeX XMLCite \textit{L. Banjai} et al., Numer. Math. 153, No. 1, 1--47 (2023; Zbl 1511.65117) Full Text: DOI arXiv
Duc, Nguyen Van; Thang, Nguyen Van; Thành, Nguyen Trung The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations. (English) Zbl 1502.35203 J. Differ. Equations 344, 102-130 (2023). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{N. Van Duc} et al., J. Differ. Equations 344, 102--130 (2023; Zbl 1502.35203) Full Text: DOI
Di, Huafei; Rong, Weijie The regularized solution approximation of forward/backward problems for a fractional pseudo-parabolic equation with random noise. (English) Zbl 1513.35365 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 324-348 (2023). MSC: 35L30 35L82 35D40 35B44 PDFBibTeX XMLCite \textit{H. Di} and \textit{W. Rong}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 324--348 (2023; Zbl 1513.35365) Full Text: DOI
Boyadjiev, Lyubomir; Dubovski, Pavel B.; Slepoi, Jeffrey A. Existence for partial differential equations with fractional Cauchy-Euler operator. (English) Zbl 07798342 J. Math. Sci., New York 266, No. 2, Series A, 285-294 (2022). MSC: 35C10 35R11 PDFBibTeX XMLCite \textit{L. Boyadjiev} et al., J. Math. Sci., New York 266, No. 2, 285--294 (2022; Zbl 07798342) Full Text: DOI
Ho Duy Binh; Vo Viet Tri Mild solutions to a time-fractional diffusion equation with a hyper-Bessel operator have a continuous dependence with regard to fractional derivative orders. (English) Zbl 1518.35631 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 24-38 (2022). MSC: 35R11 35B30 35K20 35K58 PDFBibTeX XMLCite \textit{Ho Duy Binh} and \textit{Vo Viet Tri}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, 24--38 (2022; Zbl 1518.35631) Full Text: DOI
Toshtemirov, Bakhodirjon On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator. (English) Zbl 1524.35412 Fract. Differ. Calc. 12, No. 1, 63-76 (2022). MSC: 35M12 35R11 PDFBibTeX XMLCite \textit{B. Toshtemirov}, Fract. Differ. Calc. 12, No. 1, 63--76 (2022; Zbl 1524.35412) Full Text: DOI arXiv
Vieira, Nelson; Rodrigues, M. Manuela; Ferreira, Milton Time-fractional telegraph equation of distributed order in higher dimensions with Hilfer fractional derivatives. (English) Zbl 1512.35641 Electron. Res. Arch. 30, No. 10, 3595-3631 (2022). MSC: 35R11 35L15 PDFBibTeX XMLCite \textit{N. Vieira} et al., Electron. Res. Arch. 30, No. 10, 3595--3631 (2022; Zbl 1512.35641) Full Text: DOI
Garra, R.; Consiglio, A.; Mainardi, F. A note on a modified fractional Maxwell model. (English) Zbl 1507.74065 Chaos Solitons Fractals 163, Article ID 112544, 5 p. (2022). MSC: 74B05 74D05 74L10 76A10 26A33 35R11 33E12 PDFBibTeX XMLCite \textit{R. Garra} et al., Chaos Solitons Fractals 163, Article ID 112544, 5 p. (2022; Zbl 1507.74065) Full Text: DOI arXiv
Namba, Tokinaga; Rybka, Piotr; Sato, Shoichi Special solutions to the space fractional diffusion problem. (English) Zbl 1503.35270 Fract. Calc. Appl. Anal. 25, No. 6, 2139-2165 (2022). MSC: 35R11 35C05 26A33 PDFBibTeX XMLCite \textit{T. Namba} et al., Fract. Calc. Appl. Anal. 25, No. 6, 2139--2165 (2022; Zbl 1503.35270) Full Text: DOI arXiv
Rodrigo, Marianito A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation. (English) Zbl 1503.35273 Fract. Calc. Appl. Anal. 25, No. 5, 1757-1784 (2022). MSC: 35R11 35K05 35L05 26A33 PDFBibTeX XMLCite \textit{M. Rodrigo}, Fract. Calc. Appl. Anal. 25, No. 5, 1757--1784 (2022; Zbl 1503.35273) Full Text: DOI arXiv
Płociniczak, Łukasz; Świtała, Mateusz Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. (English) Zbl 1503.65182 Fract. Calc. Appl. Anal. 25, No. 4, 1651-1687 (2022). MSC: 65M06 65M60 65R20 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{M. Świtała}, Fract. Calc. Appl. Anal. 25, No. 4, 1651--1687 (2022; Zbl 1503.65182) Full Text: DOI arXiv
Roscani, Sabrina D.; Tarzia, Domingo A.; Venturato, Lucas D. The similarity method and explicit solutions for the fractional space one-phase Stefan problems. (English) Zbl 1503.35274 Fract. Calc. Appl. Anal. 25, No. 3, 995-1021 (2022). MSC: 35R11 26A33 33E12 PDFBibTeX XMLCite \textit{S. D. Roscani} et al., Fract. Calc. Appl. Anal. 25, No. 3, 995--1021 (2022; Zbl 1503.35274) Full Text: DOI arXiv
Beghin, Luisa; De Gregorio, Alessandro Stochastic solutions for time-fractional heat equations with complex spatial variables. (English) Zbl 1503.35249 Fract. Calc. Appl. Anal. 25, No. 1, 244-266 (2022). MSC: 35R11 35R60 60G22 26A33 PDFBibTeX XMLCite \textit{L. Beghin} and \textit{A. De Gregorio}, Fract. Calc. Appl. Anal. 25, No. 1, 244--266 (2022; Zbl 1503.35249) Full Text: DOI arXiv
D’Ovidio, Mirko Fractional boundary value problems. (English) Zbl 1503.60111 Fract. Calc. Appl. Anal. 25, No. 1, 29-59 (2022). MSC: 60J50 60J55 35R11 26A33 PDFBibTeX XMLCite \textit{M. D'Ovidio}, Fract. Calc. Appl. Anal. 25, No. 1, 29--59 (2022; Zbl 1503.60111) Full Text: DOI arXiv
Han, Rubing; Wu, Shuonan A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: pointwise error estimates under Hölder regularity. (English) Zbl 1506.65184 SIAM J. Numer. Anal. 60, No. 6, 3052-3077 (2022). MSC: 65N06 65N12 65N15 26A33 35B65 35R11 PDFBibTeX XMLCite \textit{R. Han} and \textit{S. Wu}, SIAM J. Numer. Anal. 60, No. 6, 3052--3077 (2022; Zbl 1506.65184) Full Text: DOI arXiv
Aayadi, Khadija; Akhlil, Khalid; Ben Aadi, Sultana; Mahdioui, Hicham Weak solutions to the time-fractional \(g\)-Bénard equations. (English) Zbl 1513.76064 Bound. Value Probl. 2022, Paper No. 70, 17 p. (2022). MSC: 76D05 47F05 35Q30 35R11 26A33 76D03 PDFBibTeX XMLCite \textit{K. Aayadi} et al., Bound. Value Probl. 2022, Paper No. 70, 17 p. (2022; Zbl 1513.76064) Full Text: DOI arXiv
Awad, Emad; Metzler, Ralf Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers. II: Accelerating case. (English) Zbl 1506.35259 J. Phys. A, Math. Theor. 55, No. 20, Article ID 205003, 29 p. (2022). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} and \textit{R. Metzler}, J. Phys. A, Math. Theor. 55, No. 20, Article ID 205003, 29 p. (2022; Zbl 1506.35259) Full Text: DOI
Zhang, Yanxin; Chen, Juan; Zhuang, Bo Observer design for time fractional reaction-diffusion systems with spatially varying coefficients and weighted spatial averages measurement. (English) Zbl 1498.93278 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2121-2135 (2022). MSC: 93B53 93C20 35R11 35K57 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2121--2135 (2022; Zbl 1498.93278) Full Text: DOI
Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. (English) Zbl 1497.65204 Fractals 30, No. 5, Article ID 2240155, 21 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M99 26A33 35R11 42C10 41A58 76R50 PDFBibTeX XMLCite \textit{V. R. Hosseini} et al., Fractals 30, No. 5, Article ID 2240155, 21 p. (2022; Zbl 1497.65204) Full Text: DOI
Bezerra, Mario; Cuevas, Claudio; Silva, Clessius; Soto, Herme On the fractional doubly parabolic Keller-Segel system modelling chemotaxis. (English) Zbl 1496.35418 Sci. China, Math. 65, No. 9, 1827-1874 (2022). MSC: 35R11 35B40 35K45 35K59 92C15 92C17 PDFBibTeX XMLCite \textit{M. Bezerra} et al., Sci. China, Math. 65, No. 9, 1827--1874 (2022; Zbl 1496.35418) Full Text: DOI
Vieira, Nelson; Rodrigues, M. Manuela; Ferreira, Milton Time-fractional diffusion equation with \(\psi\)-Hilfer derivative. (English) Zbl 1513.35536 Comput. Appl. Math. 41, No. 6, Paper No. 230, 26 p. (2022). MSC: 35R11 26A33 35A08 35A22 35C15 PDFBibTeX XMLCite \textit{N. Vieira} et al., Comput. Appl. Math. 41, No. 6, Paper No. 230, 26 p. (2022; Zbl 1513.35536) Full Text: DOI
Nguyen, Anh Tuan; Caraballo, Tomás; Tuan, Nguyen Huy On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative. (English) Zbl 1501.35443 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 989-1031 (2022). Reviewer: Ismail Huseynov (Mersin) MSC: 35R11 26A33 33E12 35B40 35K30 35K58 PDFBibTeX XMLCite \textit{A. T. Nguyen} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 989--1031 (2022; Zbl 1501.35443) Full Text: DOI arXiv
Wang, Wensheng Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation. (English) Zbl 1495.35221 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 582-613 (2022). MSC: 35R60 35R09 35R11 60H40 45K05 PDFBibTeX XMLCite \textit{W. Wang}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 582--613 (2022; Zbl 1495.35221) Full Text: DOI
Labadla, A.; Chaoui, A. Discretization scheme of fractional parabolic equation with nonlocal coefficient and unknown flux on the Dirichlet boundary. (English) Zbl 07553749 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 1, 63-76 (2022). MSC: 65-XX 35D30 35R11 65M20 65M22 PDFBibTeX XMLCite \textit{A. Labadla} and \textit{A. Chaoui}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 1, 63--76 (2022; Zbl 07553749) Full Text: Link Link
Yang, Fan; Sun, Qiaoxi; Li, Xiaoxiao Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator. (English) Zbl 1499.35706 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485-1518 (2022). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485--1518 (2022; Zbl 1499.35706) Full Text: DOI
Ansari, Alireza; Derakhshan, Mohammad Hossein; Askari, Hassan Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290 Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022). MSC: 35R11 26A33 35A08 35C15 44A10 44A20 PDFBibTeX XMLCite \textit{A. Ansari} et al., Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022; Zbl 1500.35290) Full Text: DOI
Daoud, Maha; Laamri, El Haj Fractional Laplacians : a short survey. (English) Zbl 1496.35001 Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 95-116 (2022). Reviewer: Nicola Abatangelo (Bologna) MSC: 35-02 35J05 26A33 35R11 58J35 PDFBibTeX XMLCite \textit{M. Daoud} and \textit{E. H. Laamri}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 95--116 (2022; Zbl 1496.35001) Full Text: DOI
Fresneda-Portillo, Carlos On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media. (English) Zbl 1491.35181 Georgian Math. J. 29, No. 3, 363-372 (2022). MSC: 35J57 45F15 45P05 PDFBibTeX XMLCite \textit{C. Fresneda-Portillo}, Georgian Math. J. 29, No. 3, 363--372 (2022; Zbl 1491.35181) Full Text: DOI
Feng, Xiaoli; Zhao, Meixia; Qian, Zhi A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535 J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022). MSC: 35R25 35R30 47A52 65M06 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022; Zbl 1490.35535) Full Text: DOI
Wang, Yibo; Du, Rui; Chai, Zhenhua Lattice Boltzmann model for time-fractional nonlinear wave equations. (English) Zbl 1499.65591 Adv. Appl. Math. Mech. 14, No. 4, 914-935 (2022). MSC: 65M75 82C40 35Q20 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 14, No. 4, 914--935 (2022; Zbl 1499.65591) Full Text: DOI
Hai, Dinh Nguyen Duy Hölder-logarithmic type approximation for nonlinear backward parabolic equations connected with a pseudo-differential operator. (English) Zbl 1487.35224 Commun. Pure Appl. Anal. 21, No. 5, 1715-1734 (2022). MSC: 35K58 35S16 35R25 47J06 60H50 PDFBibTeX XMLCite \textit{D. N. D. Hai}, Commun. Pure Appl. Anal. 21, No. 5, 1715--1734 (2022; Zbl 1487.35224) Full Text: DOI
Bulavatsky, V. M. Some boundary-value problems of filtration dynamics corresponding to models of fractional diffusion of distributed order. (English. Ukrainian original) Zbl 1487.35158 Cybern. Syst. Anal. 58, No. 1, 65-76 (2022); translation from Kibern. Sist. Anal. 58, No. 1, 77-89 (2022). MSC: 35C05 35K51 35R11 35R30 PDFBibTeX XMLCite \textit{V. M. Bulavatsky}, Cybern. Syst. Anal. 58, No. 1, 65--76 (2022; Zbl 1487.35158); translation from Kibern. Sist. Anal. 58, No. 1, 77--89 (2022) Full Text: DOI
Zhu, Xiaogang; Li, Jimeng; Zhang, Yaping A local RBFs-based DQ approximation for Riesz fractional derivatives and its applications. (English) Zbl 07512659 Numer. Algorithms 90, No. 1, 159-196 (2022). MSC: 65M70 35R11 65D12 PDFBibTeX XMLCite \textit{X. Zhu} et al., Numer. Algorithms 90, No. 1, 159--196 (2022; Zbl 07512659) Full Text: DOI
Janno, Jaan; Kasemets, Kairi; Kinash, Nataliia Inverse problem to identify a space-dependent diffusivity coefficient in a generalized subdiffusion equation from final data. (English) Zbl 1487.35447 Proc. Est. Acad. Sci. 71, No. 1, 3-15 (2022). MSC: 35R30 35K20 35R11 PDFBibTeX XMLCite \textit{J. Janno} et al., Proc. Est. Acad. Sci. 71, No. 1, 3--15 (2022; Zbl 1487.35447) Full Text: DOI
Bouzeffour, F.; Garayev, M. On the fractional Bessel operator. (English) Zbl 07493955 Integral Transforms Spec. Funct. 33, No. 3, 230-246 (2022). MSC: 47-XX 35K57 33C10 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{M. Garayev}, Integral Transforms Spec. Funct. 33, No. 3, 230--246 (2022; Zbl 07493955) Full Text: DOI
Vabishchevich, Petr N. Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. (English) Zbl 1524.65405 J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022). MSC: 65M06 26A33 35R11 65F60 65D32 35B45 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022; Zbl 1524.65405) Full Text: DOI arXiv
de Andrade, Bruno; Siracusa, Giovana; Viana, Arlúcio A nonlinear fractional diffusion equation: well-posedness, comparison results, and blow-up. (English) Zbl 1475.35386 J. Math. Anal. Appl. 505, No. 2, Article ID 125524, 24 p. (2022). MSC: 35R11 35R09 35B44 35B51 PDFBibTeX XMLCite \textit{B. de Andrade} et al., J. Math. Anal. Appl. 505, No. 2, Article ID 125524, 24 p. (2022; Zbl 1475.35386) Full Text: DOI
Singh, Jagdev; Kumar, Devendra; Purohit, Sunil Dutt; Mishra, Aditya Mani; Bohra, Mahesh An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory. (English) Zbl 07776036 Numer. Methods Partial Differ. Equations 37, No. 2, 1631-1651 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Singh} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1631--1651 (2021; Zbl 07776036) Full Text: DOI
Hendy, Ahmed S.; Zaky, Mahmoud A. Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation. (English) Zbl 1517.35206 Nonlinear Dyn. 103, No. 3, 2493-2507 (2021). MSC: 35Q55 35R11 65N30 PDFBibTeX XMLCite \textit{A. S. Hendy} and \textit{M. A. Zaky}, Nonlinear Dyn. 103, No. 3, 2493--2507 (2021; Zbl 1517.35206) Full Text: DOI
Awad, Emad; Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. (English) Zbl 1506.35260 Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} et al., Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021; Zbl 1506.35260) Full Text: DOI
Liu, Xingguo; Yang, Xuehua; Zhang, Haixiang; Liu, Yanling Discrete singular convolution for fourth-order multi-term time fractional equation. (English) Zbl 07534877 Tbil. Math. J. 14, No. 2, 1-16 (2021). MSC: 65-XX 35K61 65N12 65N30 PDFBibTeX XMLCite \textit{X. Liu} et al., Tbil. Math. J. 14, No. 2, 1--16 (2021; Zbl 07534877) Full Text: DOI
Garra, Roberto; Maltese, F.; Orsingher, Enzo A note on generalized fractional diffusion equations on Poincaré half plane. (English) Zbl 1499.35641 Fract. Differ. Calc. 11, No. 1, 111-120 (2021). MSC: 35R11 33E12 34A08 PDFBibTeX XMLCite \textit{R. Garra} et al., Fract. Differ. Calc. 11, No. 1, 111--120 (2021; Zbl 1499.35641) Full Text: DOI arXiv
Gu, Caihong; Tang, Yanbin Chaotic characterization of one dimensional stochastic fractional heat equation. (English) Zbl 1498.60259 Chaos Solitons Fractals 145, Article ID 110780, 10 p. (2021). MSC: 60H15 35R60 60G60 PDFBibTeX XMLCite \textit{C. Gu} and \textit{Y. Tang}, Chaos Solitons Fractals 145, Article ID 110780, 10 p. (2021; Zbl 1498.60259) Full Text: DOI
Phuong, Nguyen Duc; Tuan, Nguyen Huy; Hammouch, Zakia; Sakthivel, Rathinasamy On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise. (English) Zbl 1498.35346 Chaos Solitons Fractals 145, Article ID 110771, 12 p. (2021). MSC: 35K99 PDFBibTeX XMLCite \textit{N. D. Phuong} et al., Chaos Solitons Fractals 145, Article ID 110771, 12 p. (2021; Zbl 1498.35346) 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
Rakhimov, Kamoladdin; Sobirov, Zarifboy; Zhabborov, Nasridin The time-fractional Airy equation on the metric graph. (English) Zbl 07510960 J. Sib. Fed. Univ., Math. Phys. 14, No. 3, 376-388 (2021). MSC: 35Qxx 26Axx 26-XX PDFBibTeX XMLCite \textit{K. Rakhimov} et al., J. Sib. Fed. Univ., Math. Phys. 14, No. 3, 376--388 (2021; Zbl 07510960) Full Text: DOI MNR
Chen, Le; Hu, Yaozhong; Nualart, David Regularity and strict positivity of densities for the nonlinear stochastic heat equation. (English) Zbl 1494.60001 Memoirs of the American Mathematical Society 1340. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5000-7/pbk; 978-1-4704-6809-5/ebook). v, 102 p. (2021). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60-02 60H15 60G60 35R60 PDFBibTeX XMLCite \textit{L. Chen} et al., Regularity and strict positivity of densities for the nonlinear stochastic heat equation. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1494.60001) Full Text: DOI arXiv
Khushtova, F. G. Third boundary value problem in a half-strip for the fractional diffusion equation. (English. Russian original) Zbl 1485.35394 Differ. Equ. 57, No. 12, 1610-1618 (2021); translation from Differ. Uravn. 57, No. 12, 1635-1643 (2021). MSC: 35R11 35A01 35A02 35C15 PDFBibTeX XMLCite \textit{F. G. Khushtova}, Differ. Equ. 57, No. 12, 1610--1618 (2021; Zbl 1485.35394); translation from Differ. Uravn. 57, No. 12, 1635--1643 (2021) Full Text: DOI
Ramezani, Mohammad Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline. (English) Zbl 07486479 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Ramezani}, Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021; Zbl 07486479) Full Text: DOI
Pourbabaee, Marzieh; Saadatmandi, Abbas The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications. (English) Zbl 1491.65113 Int. J. Comput. Math. 98, No. 11, 2310-2329 (2021). MSC: 65M70 65D32 65M15 41A50 26A33 35R11 PDFBibTeX XMLCite \textit{M. Pourbabaee} and \textit{A. Saadatmandi}, Int. J. Comput. Math. 98, No. 11, 2310--2329 (2021; Zbl 1491.65113) Full Text: DOI
Dipierro, Serena; Valdinoci, Enrico Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes. (English) Zbl 1528.60037 Physica A 575, Article ID 126052, 20 p. (2021). MSC: 60G50 35Q92 92B05 PDFBibTeX XMLCite \textit{S. Dipierro} and \textit{E. Valdinoci}, Physica A 575, Article ID 126052, 20 p. (2021; Zbl 1528.60037) Full Text: DOI arXiv
Droghei, Riccardo On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function. (English) Zbl 1498.34020 Fract. Calc. Appl. Anal. 24, No. 5, 1559-1570 (2021). MSC: 34A08 26A33 35R11 33E12 33E30 PDFBibTeX XMLCite \textit{R. Droghei}, Fract. Calc. Appl. Anal. 24, No. 5, 1559--1570 (2021; Zbl 1498.34020) Full Text: DOI arXiv
Juchem, Jasper; Chevalier, Amélie; Dekemele, Kevin; Loccufier, Mia First order plus fractional diffusive delay modeling: interconnected discrete systems. (English) Zbl 1498.93106 Fract. Calc. Appl. Anal. 24, No. 5, 1535-1558 (2021). MSC: 93B30 93A15 93B11 26A33 35R11 PDFBibTeX XMLCite \textit{J. Juchem} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1535--1558 (2021; Zbl 1498.93106) Full Text: DOI arXiv
Jia, Jinhong; Zheng, Xiangcheng; Wang, Hong Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation. (English) Zbl 1498.65171 Fract. Calc. Appl. Anal. 24, No. 5, 1477-1506 (2021). MSC: 65M70 35R11 65R20 PDFBibTeX XMLCite \textit{J. Jia} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1477--1506 (2021; Zbl 1498.65171) Full Text: DOI
Au, Vo Van; Singh, Jagdev; Nguyen, Anh Tuan Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients. (English) Zbl 1478.35218 Electron. Res. Arch. 29, No. 6, 3581-3607 (2021). MSC: 35R11 26A33 35K15 35B40 35B44 33E12 44A20 PDFBibTeX XMLCite \textit{V. Van Au} et al., Electron. Res. Arch. 29, No. 6, 3581--3607 (2021; Zbl 1478.35218) Full Text: DOI
Nguyen, Huy Tuan; Nguyen, Huu Can; Wang, Renhai; Zhou, Yong Initial value problem for fractional Volterra integro-differential equations with Caputo derivative. (English) Zbl 1478.35226 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6483-6510 (2021). MSC: 35R11 35B44 35K20 35K58 35K70 35K92 35R09 47A52 47J06 PDFBibTeX XMLCite \textit{H. T. Nguyen} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6483--6510 (2021; Zbl 1478.35226) Full Text: DOI
Kumar Mishra, Hradyesh; Pandey, Rishi Kumar Time-fractional nonlinear dispersive type of the Zakharov-Kuznetsov equation via HAFSTM. (English) Zbl 1490.35521 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 97-110 (2021). MSC: 35R11 65M99 35Q53 PDFBibTeX XMLCite \textit{H. Kumar Mishra} and \textit{R. K. Pandey}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 97--110 (2021; Zbl 1490.35521) Full Text: DOI
Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. (English) Zbl 1476.65272 Commun. Appl. Math. Comput. 3, No. 1, 61-90 (2021). MSC: 65M70 35Q49 58C40 65M12 65M15 PDFBibTeX XMLCite \textit{M. Samiee} et al., Commun. Appl. Math. Comput. 3, No. 1, 61--90 (2021; Zbl 1476.65272) Full Text: DOI
Egorova, Vera N.; Trucchia, Andrea; Pagnini, Gianni Physical parametrisation of fire-spotting for operational wildfire simulators. (English) Zbl 07431162 Asensio, María Isabel (ed.) et al., Applied mathematics for environmental problems. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 21-38 (2021). MSC: 65-XX 35-XX 76-XX 92D40 PDFBibTeX XMLCite \textit{V. N. Egorova} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 21--38 (2021; Zbl 07431162) Full Text: DOI