Korichi, Z.; Souigat, A.; Bekhouche, R.; Meftah, M. T. Solution of the fractional Liouville equation by using Riemann-Liouville and Caputo derivatives in statistical mechanics. (English. Russian original) Zbl 07825105 Theor. Math. Phys. 218, No. 2, 336-345 (2024); translation from Teor. Mat. Fiz. 218, No. 2, 389-399 (2024). MSC: 35Q82 35R11 26A33 PDFBibTeX XMLCite \textit{Z. Korichi} et al., Theor. Math. Phys. 218, No. 2, 336--345 (2024; Zbl 07825105); translation from Teor. Mat. Fiz. 218, No. 2, 389--399 (2024) Full Text: DOI
Yang, Guang; Wu, Guo-Cheng; Fu, Hui Discrete fractional calculus with exponential memory: propositions, numerical schemes and asymptotic stability. (English) Zbl 07824367 Nonlinear Anal., Model. Control 29, No. 1, 32-52 (2024). MSC: 39A13 39A30 39A70 26A33 PDFBibTeX XMLCite \textit{G. Yang} et al., Nonlinear Anal., Model. Control 29, No. 1, 32--52 (2024; Zbl 07824367) Full Text: DOI
Zhang, Jia-Rui; Lu, Jun-Guo Robust \(\infty\) model reduction for the continuous fractional-order two-dimensional Roesser system: the \(0 < \varepsilon \leq 1\) case. (English) Zbl 07823720 Math. Methods Appl. Sci. 47, No. 2, 782-798 (2024). MSC: 26A33 65L20 93D09 34C20 93C35 PDFBibTeX XMLCite \textit{J.-R. Zhang} and \textit{J.-G. Lu}, Math. Methods Appl. Sci. 47, No. 2, 782--798 (2024; Zbl 07823720) Full Text: DOI
Ferreira, Rui A. C. Hartman-Wintner inequality for a Caputo fractional boundary value problem. (English) Zbl 07823193 Rocky Mt. J. Math. 54, No. 1, 137-141 (2024). MSC: 26A33 26D10 PDFBibTeX XMLCite \textit{R. A. C. Ferreira}, Rocky Mt. J. Math. 54, No. 1, 137--141 (2024; Zbl 07823193) Full Text: DOI Link
Fernandez, Arran Abstract algebraic construction in fractional calculus: parametrised families with semigroup properties. (English) Zbl 07823176 Complex Anal. Oper. Theory 18, No. 3, Paper No. 50, 41 p. (2024). MSC: 26A33 44A40 20M25 PDFBibTeX XMLCite \textit{A. Fernandez}, Complex Anal. Oper. Theory 18, No. 3, Paper No. 50, 41 p. (2024; Zbl 07823176) Full Text: DOI
Guo, Feng; Fang, Xiang; Hou, Shengzhao; Zhu, Xiaolin Fractional integration on mixed norm spaces. I. (English) Zbl 07823171 Complex Anal. Oper. Theory 18, No. 3, Paper No. 45, 21 p. (2024). MSC: 47B38 26A33 PDFBibTeX XMLCite \textit{F. Guo} et al., Complex Anal. Oper. Theory 18, No. 3, Paper No. 45, 21 p. (2024; Zbl 07823171) Full Text: DOI
Fernández-Bertolin, Aingeru; Roncal, Luz; Rüland, Angkana On (global) unique continuation properties of the fractional discrete Laplacian. (English) Zbl 07823148 J. Funct. Anal. 286, No. 9, Article ID 110375, 64 p. (2024). MSC: 39A12 26A33 35R11 49M25 65N15 PDFBibTeX XMLCite \textit{A. Fernández-Bertolin} et al., J. Funct. Anal. 286, No. 9, Article ID 110375, 64 p. (2024; Zbl 07823148) Full Text: DOI arXiv
Lan, Kunquan Existence and uniqueness of solutions of nonlinear Cauchy-type problems for first-order fractional differential equations. (English) Zbl 07822442 Math. Methods Appl. Sci. 47, No. 1, 535-555 (2024). MSC: 34A08 26A33 34B18 34A12 45D05 47H10 92B05 PDFBibTeX XMLCite \textit{K. Lan}, Math. Methods Appl. Sci. 47, No. 1, 535--555 (2024; Zbl 07822442) Full Text: DOI OA License
Raja, Marimuthu Mohan; Vijayakumar, Velusamy; Veluvolu, Kalyana Chakravarthy An analysis on approximate controllability results for impulsive fractional differential equations of order \(1 < r < 2\) with infinite delay using sequence method. (English) Zbl 07822432 Math. Methods Appl. Sci. 47, No. 1, 336-351 (2024). MSC: 26A33 34A08 35R12 47B12 34K30 34B10 PDFBibTeX XMLCite \textit{M. M. Raja} et al., Math. Methods Appl. Sci. 47, No. 1, 336--351 (2024; Zbl 07822432) Full Text: DOI
Cai, Min; Li, Changpin L1/LDG algorithm for time-Caputo space-Riesz fractional convection equation in two dimensions. (English) Zbl 07822420 Math. Methods Appl. Sci. 47, No. 1, 58-80 (2024). MSC: 26A33 35R11 65M12 PDFBibTeX XMLCite \textit{M. Cai} and \textit{C. Li}, Math. Methods Appl. Sci. 47, No. 1, 58--80 (2024; Zbl 07822420) Full Text: DOI
Paliwal, Gauri Shankar; Agarwal, Ritu; Bundela, Beena; Singh, Jagdev A class of analytic functions defined using fractional Ruscheweyh-Goyal derivative and its majorization properties. (English) Zbl 07822265 Afr. Mat. 35, No. 1, Paper No. 20, 11 p. (2024). MSC: 26A33 30C45 30C80 PDFBibTeX XMLCite \textit{G. S. Paliwal} et al., Afr. Mat. 35, No. 1, Paper No. 20, 11 p. (2024; Zbl 07822265) Full Text: DOI
Nosrati, Komeil; Belikov, Juri; Tepljakov, Aleksei; Petlenkov, Eduard Robust fractional order singular Kalman filter. (English) Zbl 07821104 Int. J. Robust Nonlinear Control 34, No. 1, 602-627 (2024). MSC: 93E11 93C55 93C05 26A33 PDFBibTeX XMLCite \textit{K. Nosrati} et al., Int. J. Robust Nonlinear Control 34, No. 1, 602--627 (2024; Zbl 07821104) Full Text: DOI
Aniley, Worku Tilahun; Duressa, Gemechis File Nonstandard finite difference method for time-fractional singularly perturbed convection-diffusion problems with a delay in time. (English) Zbl 07820993 Results Appl. Math. 21, Article ID 100432, 13 p. (2024). MSC: 65M06 65N06 65M12 65M15 35B25 26A33 35R11 35R07 PDFBibTeX XMLCite \textit{W. T. Aniley} and \textit{G. F. Duressa}, Results Appl. Math. 21, Article ID 100432, 13 p. (2024; Zbl 07820993) Full Text: DOI
Boichuk, Oleksandr; Feruk, Viktor Weakly perturbed linear boundary-value problem for system of fractional differential equations with Caputo derivative. (English) Zbl 07820985 Results Appl. Math. 21, Article ID 100424, 12 p. (2024). MSC: 26A33 34A08 34B05 PDFBibTeX XMLCite \textit{O. Boichuk} and \textit{V. Feruk}, Results Appl. Math. 21, Article ID 100424, 12 p. (2024; Zbl 07820985) Full Text: DOI
Pu, W. D.; Zhang, H.; Li, G. H.; Guo, W. Y.; Ma, B. Coupled continuous time random walk with Lévy distribution jump length signifies anomalous diffusion? (English) Zbl 07820902 Physica A 635, Article ID 129476, 9 p. (2024). MSC: 60K50 26A33 82C41 PDFBibTeX XMLCite \textit{W. D. Pu} et al., Physica A 635, Article ID 129476, 9 p. (2024; Zbl 07820902) Full Text: DOI
Hao, Jianwei; Wang, Jinrong; Lu, Liang Coupled system of fractional hemivariational inequalities with applications. (English) Zbl 07820216 Optimization 73, No. 4, 969-994 (2024). MSC: 26A33 74F99 PDFBibTeX XMLCite \textit{J. Hao} et al., Optimization 73, No. 4, 969--994 (2024; Zbl 07820216) Full Text: DOI
Abd-Elmageed, Hala; Hidan, Muajebah; Abdalla, Mohamed Investigation for the \(k\)-analogue of \(\tau\)-Gauss hypergeometric matrix functions and associated fractional calculus. (English) Zbl 07820060 Linear Multilinear Algebra 72, No. 5, 737-750 (2024). MSC: 33C70 33C05 33E20 26A33 PDFBibTeX XMLCite \textit{H. Abd-Elmageed} et al., Linear Multilinear Algebra 72, No. 5, 737--750 (2024; Zbl 07820060) Full Text: DOI
Mondal, Subhankar On backward fractional pseudo parabolic equation: regularization by quasi-boundary value method, convergence rates. (English) Zbl 07820053 Proc. Indian Acad. Sci., Math. Sci. 134, No. 1, Paper No. 5, 20 p. (2024). MSC: 35R30 35R25 35K70 35R11 26A33 PDFBibTeX XMLCite \textit{S. Mondal}, Proc. Indian Acad. Sci., Math. Sci. 134, No. 1, Paper No. 5, 20 p. (2024; Zbl 07820053) Full Text: DOI
Silva, Edcarlos D.; Carvalho, M. L. M.; Goulart, C.; Silva, M. L. Superlinear fractional elliptic problems via the nonlinear Rayleigh quotient with two parameters. (English) Zbl 07820033 Math. Nachr. 297, No. 3, 1062-1091 (2024). MSC: 35A01 35A15 35A23 35A25 PDFBibTeX XMLCite \textit{E. D. Silva} et al., Math. Nachr. 297, No. 3, 1062--1091 (2024; Zbl 07820033) Full Text: DOI
Kijaczko, Michał; Lenczewska, Julia Sharp Hardy inequalities for Sobolev-Bregman forms. (English) Zbl 07819205 Math. Nachr. 297, No. 2, 549-559 (2024). MSC: 26D10 31C25 PDFBibTeX XMLCite \textit{M. Kijaczko} and \textit{J. Lenczewska}, Math. Nachr. 297, No. 2, 549--559 (2024; Zbl 07819205) Full Text: DOI arXiv
Fritz, Marvin; Süli, Endre; Wohlmuth, Barbara Analysis of a dilute polymer model with a time-fractional derivative. (English) Zbl 07817053 SIAM J. Math. Anal. 56, No. 2, 2063-2089 (2024). Reviewer: Piotr Biler (Wrocław) MSC: 35Q84 35Q30 26A33 35R11 82D60 82C31 76A05 76D05 76T20 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{M. Fritz} et al., SIAM J. Math. Anal. 56, No. 2, 2063--2089 (2024; Zbl 07817053) Full Text: DOI arXiv
Antil, Harbir; Díaz, Hugo; Jing, Tian; Schikorra, Armin Nonlocal bounded variations with applications. (English) Zbl 07817048 SIAM J. Math. Anal. 56, No. 2, 1903-1935 (2024). MSC: 35R11 49Jxx 46E30 65R20 65D18 PDFBibTeX XMLCite \textit{H. Antil} et al., SIAM J. Math. Anal. 56, No. 2, 1903--1935 (2024; Zbl 07817048) Full Text: DOI arXiv
Yu, Xueying; Yue, Haitian On the global well-posedness for the periodic quintic nonlinear Schrödinger equation. (English) Zbl 07817047 SIAM J. Math. Anal. 56, No. 2, 1851-1902 (2024). MSC: 35Q55 35Q41 26A33 35R01 37K06 37L50 35R01 35A01 35A02 PDFBibTeX XMLCite \textit{X. Yu} and \textit{H. Yue}, SIAM J. Math. Anal. 56, No. 2, 1851--1902 (2024; Zbl 07817047) Full Text: DOI arXiv
Wu, Jianglong; Chang, Yunpeng Characterization of Lipschitz spaces via commutators of fractional maximal function on the \(p\)-adic variable exponent Lebesgue spaces. (English) Zbl 07816890 C. R., Math., Acad. Sci. Paris 362, 177-194 (2024). Reviewer: Koichi Saka (Akita) MSC: 42B25 42B35 11E95 26A16 26A33 47G10 PDFBibTeX XMLCite \textit{J. Wu} and \textit{Y. Chang}, C. R., Math., Acad. Sci. Paris 362, 177--194 (2024; Zbl 07816890) Full Text: DOI arXiv
Huang, Weizhang; Shen, Jinye A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains. (English) Zbl 07816751 SIAM J. Sci. Comput. 46, No. 2, A744-A769 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N06 65N50 65F08 65F50 65T50 65M12 65M15 15B05 26A33 35R11 PDFBibTeX XMLCite \textit{W. Huang} and \textit{J. Shen}, SIAM J. Sci. Comput. 46, No. 2, A744--A769 (2024; Zbl 07816751) Full Text: DOI arXiv
Zhang, Shuailei; Tang, Meilan; Liu, Xinge; Zhang, Xian-Ming Mittag-Leffler stability and stabilization of delayed fractional-order memristive neural networks based on a new Razumikhin-type theorem. (English) Zbl 07816121 J. Franklin Inst. 361, No. 3, 1211-1226 (2024). MSC: 93D05 93C43 93B70 26A33 PDFBibTeX XMLCite \textit{S. Zhang} et al., J. Franklin Inst. 361, No. 3, 1211--1226 (2024; Zbl 07816121) Full Text: DOI
Sun, Yu; Hu, Cheng; Yu, Juan Bipartite leaderless synchronization of fractional-order coupled neural networks via edge-based adaptive pinning control. (English) Zbl 07816108 J. Franklin Inst. 361, No. 3, 1303-1317 (2024). MSC: 93C40 93B70 26A33 PDFBibTeX XMLCite \textit{Y. Sun} et al., J. Franklin Inst. 361, No. 3, 1303--1317 (2024; Zbl 07816108) Full Text: DOI
Ignatova, Mihaela 2D Voigt Boussinesq equations. (English) Zbl 07815888 J. Math. Fluid Mech. 26, No. 1, Paper No. 15, 9 p. (2024). MSC: 35Q35 35Q31 35B65 26A33 35R11 35A01 35A02 PDFBibTeX XMLCite \textit{M. Ignatova}, J. Math. Fluid Mech. 26, No. 1, Paper No. 15, 9 p. (2024; Zbl 07815888) Full Text: DOI arXiv
Krim, Salim; Salim, Abdelkrim; Benchohra, Mouffak On deformable fractional impulsive implicit boundary value problems with delay. (English) Zbl 07815477 Arab. J. Math. 13, No. 1, 199-226 (2024). MSC: 26A33 34A08 34K37 PDFBibTeX XMLCite \textit{S. Krim} et al., Arab. J. Math. 13, No. 1, 199--226 (2024; Zbl 07815477) Full Text: DOI OA License
Ferreira, Rui A. C. Calculus of variations with higher order Caputo fractional derivatives. (English) Zbl 07815469 Arab. J. Math. 13, No. 1, 91-101 (2024). MSC: 49K99 26A33 PDFBibTeX XMLCite \textit{R. A. C. Ferreira}, Arab. J. Math. 13, No. 1, 91--101 (2024; Zbl 07815469) Full Text: DOI OA License
Boiti, Chiara; Franceschi, Jonathan Integral transforms suitable for solving fractional differential equations. (English) Zbl 07815468 Arab. J. Math. 13, No. 1, 79-89 (2024). MSC: 42A38 26A33 35A22 47G10 33E12 PDFBibTeX XMLCite \textit{C. Boiti} and \textit{J. Franceschi}, Arab. J. Math. 13, No. 1, 79--89 (2024; Zbl 07815468) Full Text: DOI OA License
Tamboli, Vahisht K.; Tandel, Priti V. Solution of the non-linear time-fractional Kudryashov-Sinelshchikov equation using fractional reduced differential transform method. (English) Zbl 07815048 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 24, 31 p. (2024). MSC: 26A33 35C07 35G25 35Q35 35R11 39A14 PDFBibTeX XMLCite \textit{V. K. Tamboli} and \textit{P. V. Tandel}, Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 24, 31 p. (2024; Zbl 07815048) Full Text: DOI
Mehrez, Sana; Miraoui, Mohsen; Agarwal, Praveen Expansion formulas for a class of function related to incomplete Fox-Wright function. (English) Zbl 07815046 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 22, 18 p. (2024). MSC: 33C47 33E12 33E30 30C45 26A33 PDFBibTeX XMLCite \textit{S. Mehrez} et al., Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 22, 18 p. (2024; Zbl 07815046) Full Text: DOI
Wang, Yihong; Sun, Tao Two linear finite difference schemes based on exponential basis for two-dimensional time fractional Burgers equation. (English) Zbl 07814535 Physica D 459, Article ID 134024, 16 p. (2024). MSC: 65M06 65N06 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{T. Sun}, Physica D 459, Article ID 134024, 16 p. (2024; Zbl 07814535) Full Text: DOI
Bal, Kaushik; Mohanta, Kaushik; Roy, Prosenjit Magnetic fractional Poincaré inequality in punctured domains. (English) Zbl 07814082 J. Math. Anal. Appl. 535, No. 1, Article ID 128103, 21 p. (2024). MSC: 35A23 35R11 46E35 PDFBibTeX XMLCite \textit{K. Bal} et al., J. Math. Anal. Appl. 535, No. 1, Article ID 128103, 21 p. (2024; Zbl 07814082) Full Text: DOI arXiv
Sun, Wenbing; Wan, Haiyang New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized \(h\)-preinvex functions. (English) Zbl 07813274 Demonstr. Math. 57, Article ID 20230128, 28 p. (2024). MSC: 26D15 26A51 26A33 PDFBibTeX XMLCite \textit{W. Sun} and \textit{H. Wan}, Demonstr. Math. 57, Article ID 20230128, 28 p. (2024; Zbl 07813274) Full Text: DOI OA License
Khan, Qasim; Khan, Hassan; Kumam, Poom; Tchier, Fairouz; Singh, Gurpreet LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations. (English) Zbl 07813270 Demonstr. Math. 57, Article ID 20230101, 16 p. (2024). MSC: 26A33 34A08 26D10 PDFBibTeX XMLCite \textit{Q. Khan} et al., Demonstr. Math. 57, Article ID 20230101, 16 p. (2024; Zbl 07813270) Full Text: DOI OA License
He, Jia Wei; Zhou, Yong Non-autonomous fractional Cauchy problems with almost sectorial operators. (English) Zbl 07813035 Bull. Sci. Math. 191, Article ID 103395, 45 p. (2024). MSC: 26A33 34A08 35R11 PDFBibTeX XMLCite \textit{J. W. He} and \textit{Y. Zhou}, Bull. Sci. Math. 191, Article ID 103395, 45 p. (2024; Zbl 07813035) Full Text: DOI
Vigo-Aguiar, J.; Chawla, Reetika; Kumar, Devendra; Mazumdar, Tapas An implicit scheme for time-fractional coupled generalized Burgers’ equation. (English) Zbl 07812880 J. Math. Chem. 62, No. 3, 689-710 (2024). MSC: 26A33 65M12 35R11 41A15 65D07 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} et al., J. Math. Chem. 62, No. 3, 689--710 (2024; Zbl 07812880) Full Text: DOI
Hammoumi, Ibtissem; Hammouche, Hadda; Salim, Abdelkrim; Benchohra, Mouffak Mild solutions for impulsive fractional differential inclusions with Hilfer derivative in Banach spaces. (English) Zbl 07812639 Rend. Circ. Mat. Palermo (2) 73, No. 2, 637-650 (2024). MSC: 34K37 34K09 34K30 34K45 26A33 47H10 PDFBibTeX XMLCite \textit{I. Hammoumi} et al., Rend. Circ. Mat. Palermo (2) 73, No. 2, 637--650 (2024; Zbl 07812639) Full Text: DOI
Sakariya, Harshad; Kumar, Sushil Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions. (English) Zbl 07812592 J. Math. Chem. 62, No. 4, 836-864 (2024). MSC: 65M70 65M06 65N35 65D12 35K57 80A32 26A33 35R11 35Q79 PDFBibTeX XMLCite \textit{H. Sakariya} and \textit{S. Kumar}, J. Math. Chem. 62, No. 4, 836--864 (2024; Zbl 07812592) Full Text: DOI
Kim, Jeongho; Moon, Bora Finite difference time domain methods for the Dirac equation coupled with the Chern-Simons gauge field. (English) Zbl 07812563 J. Sci. Comput. 99, No. 1, Paper No. 9, 42 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M12 65M15 35Q41 82D55 81V70 26A33 35R11 81T13 35A01 35A02 PDFBibTeX XMLCite \textit{J. Kim} and \textit{B. Moon}, J. Sci. Comput. 99, No. 1, Paper No. 9, 42 p. (2024; Zbl 07812563) Full Text: DOI
Srivastava, H. M.; Dhawan, Kanika; Vats, Ramesh Kumar; Nain, Ankit Kumar Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic Circumpolar Current. (English) Zbl 07812533 Z. Angew. Math. Phys. 75, No. 2, Paper No. 45, 19 p. (2024). MSC: 26A33 47B01 47H10 33B15 34K20 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 45, 19 p. (2024; Zbl 07812533) Full Text: DOI
Dechicha, Dahmane; Puel, Marjolaine Fractional diffusion for Fokker-Planck equation with heavy tail equilibrium: an à la Koch spectral method in any dimension. (English) Zbl 07812510 Asymptotic Anal. 136, No. 2, 79-132 (2024). MSC: 35Q84 35Q53 82C40 35P30 26A33 35R11 PDFBibTeX XMLCite \textit{D. Dechicha} and \textit{M. Puel}, Asymptotic Anal. 136, No. 2, 79--132 (2024; Zbl 07812510) Full Text: DOI arXiv
Biazar, Jafar; Ebrahimi, Hamed A one-step Algorithm for strongly non-linear full fractional Duffing equations. (English) Zbl 07811153 Comput. Methods Differ. Equ. 12, No. 1, 117-135 (2024). MSC: 26A33 65D15 46Txx 33Exx PDFBibTeX XMLCite \textit{J. Biazar} and \textit{H. Ebrahimi}, Comput. Methods Differ. Equ. 12, No. 1, 117--135 (2024; Zbl 07811153) Full Text: DOI
Mahammad, Khuddush; Benyoub, Mohammed; Kathun, Sarmila Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions. (English) Zbl 07811152 Comput. Methods Differ. Equ. 12, No. 1, 100-116 (2024). MSC: 26A33 34A37 34G20 PDFBibTeX XMLCite \textit{K. Mahammad} et al., Comput. Methods Differ. Equ. 12, No. 1, 100--116 (2024; Zbl 07811152) Full Text: DOI
Nguyen, Thi Thu Huong; Nguyen, Nhu Thang; Tran, Dinh Ke Commutator of the Caputo fractional derivative and the shift operator and applications. (English) Zbl 07810052 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107857, 15 p. (2024). MSC: 34A08 34A12 35B40 35R10 35R11 PDFBibTeX XMLCite \textit{T. T. H. Nguyen} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107857, 15 p. (2024; Zbl 07810052) Full Text: DOI
Zhang, Yuting; Feng, Xinlong; Qian, Lingzhi A second-order \(L2\)-\(1_\sigma\) difference scheme for the nonlinear time-space fractional Schrödinger equation. (English) Zbl 07810037 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024). MSC: 65M06 65N06 65M12 65M15 65B05 26A33 35R11 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024; Zbl 07810037) Full Text: DOI
Tan, Zhijun \(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations. (English) Zbl 07810028 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107830, 21 p. (2024). MSC: 65M55 65M60 65M06 65N55 65N30 65N50 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Tan}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107830, 21 p. (2024; Zbl 07810028) Full Text: DOI
Yang, Xuehua; Zhang, Zhimin On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations. (English) Zbl 07809671 Appl. Math. Lett. 150, Article ID 108972, 6 p. (2024). MSC: 65M08 65M06 65N08 65H10 35A21 35B09 26A33 35R11 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Yang} and \textit{Z. Zhang}, Appl. Math. Lett. 150, Article ID 108972, 6 p. (2024; Zbl 07809671) Full Text: DOI
Chen, Haokun; Wang, Yong The \(L^1\)-asymptotic behavior of strong solutions to the incompressible magneto-hydrodynamic equations in half-spaces. (English) Zbl 07809665 Appl. Math. Lett. 150, Article ID 108966, 7 p. (2024). MSC: 35Q35 76D07 76W05 35B40 35D35 26A33 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Wang}, Appl. Math. Lett. 150, Article ID 108966, 7 p. (2024; Zbl 07809665) Full Text: DOI
Xing, Zhiyong; Zhang, Haiqing; Liu, Nan Asymptotically compatible energy of two variable-step fractional BDF2 schemes for the time fractional Allen-Cahn model. (English) Zbl 07809650 Appl. Math. Lett. 150, Article ID 108942, 6 p. (2024). MSC: 65M70 65M06 65N35 37C25 35B40 35R09 26A33 35R11 35Q56 PDFBibTeX XMLCite \textit{Z. Xing} et al., Appl. Math. Lett. 150, Article ID 108942, 6 p. (2024; Zbl 07809650) Full Text: DOI
Has, Aykut; Yılmaz, Beyhan; Ayvacı, Kebire Hilal \(\mathcal{C}_{\alpha}\)-ruled surfaces respect to direction curve in fractional differential geometry. (English) Zbl 07809270 J. Geom. 115, No. 1, Paper No. 11, 18 p. (2024). MSC: 53A04 53A05 26A33 PDFBibTeX XMLCite \textit{A. Has} et al., J. Geom. 115, No. 1, Paper No. 11, 18 p. (2024; Zbl 07809270) Full Text: DOI
An, Ling; Ling, Liming; Zhang, Xiaoen Inverse scattering transform for the integrable fractional derivative nonlinear Schrödinger equation. (English) Zbl 07808473 Physica D 458, Article ID 133888, 18 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 35C99 37K15 37K10 26A33 35R11 PDFBibTeX XMLCite \textit{L. An} et al., Physica D 458, Article ID 133888, 18 p. (2024; Zbl 07808473) Full Text: DOI arXiv
Zou, Jing; Luo, Danfeng On the averaging principle of Caputo type neutral fractional stochastic differential equations. (English) Zbl 07808434 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 82, 24 p. (2024). MSC: 26A33 60H10 74H20 74H25 34C29 PDFBibTeX XMLCite \textit{J. Zou} and \textit{D. Luo}, Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 82, 24 p. (2024; Zbl 07808434) Full Text: DOI
Wu, Guo-Cheng; Wei, Jia-Li; Xia, Tie-Cheng Multi-layer neural networks for data-driven learning of fractional difference equations’ stability, periodicity and chaos. (English) Zbl 07808034 Physica D 457, Article ID 133980, 8 p. (2024). MSC: 39A30 39A23 39A33 39A13 26A33 68T07 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Physica D 457, Article ID 133980, 8 p. (2024; Zbl 07808034) Full Text: DOI
Klein, Christian; Oruc, Goksu Numerical study of fractional Camassa-Holm equations. (English) Zbl 07808033 Physica D 457, Article ID 133979, 10 p. (2024). MSC: 35Q35 76B25 35C08 35C07 35B44 26A33 35R11 PDFBibTeX XMLCite \textit{C. Klein} and \textit{G. Oruc}, Physica D 457, Article ID 133979, 10 p. (2024; Zbl 07808033) Full Text: DOI arXiv
Fan, Enyu; Li, Changpin Diffusion in Allen-Cahn equation: normal vs anomalous. (English) Zbl 07808027 Physica D 457, Article ID 133973, 15 p. (2024). MSC: 65M60 65M06 65N30 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{E. Fan} and \textit{C. Li}, Physica D 457, Article ID 133973, 15 p. (2024; Zbl 07808027) Full Text: DOI
Chen, Shumin; He, Yingji; Peng, Xi; Zhu, Xing; Qiu, Yunli Fundamental, dipole, and vortex solitons in fractional nonlinear Schrödinger equation with a parity-time-symmetric periodic potential. (English) Zbl 07808022 Physica D 457, Article ID 133966, 7 p. (2024). MSC: 35Q55 35Q41 78A60 35C08 60G51 65F15 26A33 35R11 PDFBibTeX XMLCite \textit{S. Chen} et al., Physica D 457, Article ID 133966, 7 p. (2024; Zbl 07808022) Full Text: DOI
Zitane, Hanaa; Torres, Delfim F. M. A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations. (English) Zbl 07808015 Physica D 457, Article ID 133951, 9 p. (2024). MSC: 34A08 26A33 26D15 65L05 PDFBibTeX XMLCite \textit{H. Zitane} and \textit{D. F. M. Torres}, Physica D 457, Article ID 133951, 9 p. (2024; Zbl 07808015) Full Text: DOI arXiv
Zhang, Lijuan; Wang, Yejuan Feynman-Kac formula for tempered fractional general diffusion equations with nonautonomous external potential. (English) Zbl 07807484 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1670-1694 (2024). MSC: 60K50 35R11 60H30 60G51 26A33 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Y. Wang}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1670--1694 (2024; Zbl 07807484) Full Text: DOI
Sun, Yan-Nan; Gao, Wen-Biao Fractional Fourier transform associated with polar coordinates. (English) Zbl 07807358 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 2, Article ID 2350049, 12 p. (2024). MSC: 42B10 42A85 43A32 26A33 94A12 94A20 PDFBibTeX XMLCite \textit{Y.-N. Sun} and \textit{W.-B. Gao}, Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 2, Article ID 2350049, 12 p. (2024; Zbl 07807358) Full Text: DOI
El Allaoui, Abdelati General fractional integro-differential equation of order \(\varrho\in (2,3]\) involving integral boundary conditions. (English) Zbl 07807046 Sahand Commun. Math. Anal. 21, No. 1, 221-236 (2024). MSC: 26A33 34A12 47G20 PDFBibTeX XMLCite \textit{A. El Allaoui}, Sahand Commun. Math. Anal. 21, No. 1, 221--236 (2024; Zbl 07807046) Full Text: DOI
Hassan, Ali; Khan, Asif R. Fractional Ostrowski type inequalities via \(\phi\)-\(\lambda\)-convex function. (English) Zbl 07807040 Sahand Commun. Math. Anal. 21, No. 1, 111-129 (2024). MSC: 26A33 26A51 26D15 26D99 47A30 PDFBibTeX XMLCite \textit{A. Hassan} and \textit{A. R. Khan}, Sahand Commun. Math. Anal. 21, No. 1, 111--129 (2024; Zbl 07807040) Full Text: DOI
Taneja, Komal; Deswal, Komal; Kumar, Devendra; Baleanu, Dumitru Novel numerical approach for time fractional equations with nonlocal condition. (English) Zbl 07807008 Numer. Algorithms 95, No. 3, 1413-1433 (2024). MSC: 65J15 34K37 35R11 35F16 65M06 PDFBibTeX XMLCite \textit{K. Taneja} et al., Numer. Algorithms 95, No. 3, 1413--1433 (2024; Zbl 07807008) Full Text: DOI
Singh, Harmandeep; Sharma, Janak Raj A fractional Traub-Steffensen-type method for solving nonlinear equations. (English) Zbl 07806995 Numer. Algorithms 95, No. 3, 1103-1126 (2024). MSC: 65H10 47J25 41A25 26A33 PDFBibTeX XMLCite \textit{H. Singh} and \textit{J. R. Sharma}, Numer. Algorithms 95, No. 3, 1103--1126 (2024; Zbl 07806995) Full Text: DOI
Kaddoura, I. H.; Al-Issa, Sh. M.; Hamzae, H. Analytical investigation of fractional differential inclusion with a nonlocal infinite-point or Riemann-Stieltjes integral boundary conditions. (English) Zbl 07806552 J. Mahani Math. Res. Cent. 13, No. 1, 85-109 (2024). MSC: 26A33 34K45 47G10 PDFBibTeX XMLCite \textit{I. H. Kaddoura} et al., J. Mahani Math. Res. Cent. 13, No. 1, 85--109 (2024; Zbl 07806552) Full Text: DOI
Liang, Yong Shun; Su, Wei Yi A geometric based connection between fractional calculus and fractal functions. (English) Zbl 07806026 Acta Math. Sin., Engl. Ser. 40, No. 2, 537-567 (2024). MSC: 26A33 28A80 PDFBibTeX XMLCite \textit{Y. S. Liang} and \textit{W. Y. Su}, Acta Math. Sin., Engl. Ser. 40, No. 2, 537--567 (2024; Zbl 07806026) Full Text: DOI
Antil, Harbir; Wachsmuth, Daniel Corrigendum to: “Sparse optimization problems in fractional order Sobolev spaces”. (English) Zbl 07805849 Inverse Probl. 40, No. 3, Article ID 039501, 3 p. (2024). MSC: 35Q93 49K20 49J30 26A33 35R11 PDFBibTeX XMLCite \textit{H. Antil} and \textit{D. Wachsmuth}, Inverse Probl. 40, No. 3, Article ID 039501, 3 p. (2024; Zbl 07805849) Full Text: DOI OA License
Zhang, Xin; Sun, Xueqi; Liang, Sihua; Nguyen, Van Thin Existence and concentration of solutions to a Choquard equation involving fractional \(p\)-Laplace via penalization method. (English) Zbl 07805297 J. Geom. Anal. 34, No. 3, Paper No. 90, 59 p. (2024). MSC: 35R11 35A15 35A23 35J35 35J92 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Geom. Anal. 34, No. 3, Paper No. 90, 59 p. (2024; Zbl 07805297) Full Text: DOI
Hindel, Stefan A generalized kinetic model of fractional order transport dynamics with transit time heterogeneity in microvascular space. (English) Zbl 07804883 Bull. Math. Biol. 86, No. 3, Paper No. 26, 44 p. (2024). MSC: 92C35 26A33 33E12 PDFBibTeX XMLCite \textit{S. Hindel}, Bull. Math. Biol. 86, No. 3, Paper No. 26, 44 p. (2024; Zbl 07804883) Full Text: DOI
Ilyas, Asim; Iqbal, Zainab; Malik, Salman A. On some direct and inverse problems for an integro-differential equation. (English) Zbl 07804870 Z. Angew. Math. Phys. 75, No. 2, Paper No. 39, 27 p. (2024). MSC: 26A33 80A23 65N21 42A16 33E12 PDFBibTeX XMLCite \textit{A. Ilyas} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 39, 27 p. (2024; Zbl 07804870) Full Text: DOI
Kyong-Il, Ri; Myong-Guk, Sin Existence and uniqueness of solution for fully coupled fractional forward-backward stochastic differential equations with delay and anticipated term. (English) Zbl 07803676 Stat. Probab. Lett. 206, Article ID 109954, 9 p. (2024). MSC: 34K37 34K50 60G22 PDFBibTeX XMLCite \textit{R. Kyong-Il} and \textit{S. Myong-Guk}, Stat. Probab. Lett. 206, Article ID 109954, 9 p. (2024; Zbl 07803676) Full Text: DOI
Lachachi-Merad, Nardjis; Baghli-Bendimerad, Selma; Benchohra, Mouffak Unique mild solution for Caputo’s fractional perturbed evolution equations with state-dependent delay. (English) Zbl 07803671 Evol. Equ. Control Theory 13, No. 1, 160-172 (2024). MSC: 34K37 34K40 37L05 34G20 PDFBibTeX XMLCite \textit{N. Lachachi-Merad} et al., Evol. Equ. Control Theory 13, No. 1, 160--172 (2024; Zbl 07803671) Full Text: DOI
Bouzeffour, Fethi Fractional Bessel derivative within the Mellin transform framework. (English) Zbl 07803618 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 3, 15 p. (2024). MSC: 26A33 33C10 44A20 PDFBibTeX XMLCite \textit{F. Bouzeffour}, J. Nonlinear Math. Phys. 31, No. 1, Paper No. 3, 15 p. (2024; Zbl 07803618) Full Text: DOI OA License
Shivanian, Elyas On the solution of Caputo fractional high-order three-point boundary value problem with applications to optimal control. (English) Zbl 07803617 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 2, 14 p. (2024). MSC: 34B10 34B15 34B27 34A08 26A33 PDFBibTeX XMLCite \textit{E. Shivanian}, J. Nonlinear Math. Phys. 31, No. 1, Paper No. 2, 14 p. (2024; Zbl 07803617) Full Text: DOI OA License
Guefaifia, Rafik; Allahem, Ali; Jan, Rashid; Boulaaras, Salah; Biomy, Mohamed Analysis of positive weak solutions for a class of fractional Laplacian elliptic systems of type Kirchhoff. (English) Zbl 07803616 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 1, 17 p. (2024). MSC: 35D30 35B09 35R11 35J91 26A33 PDFBibTeX XMLCite \textit{R. Guefaifia} et al., J. Nonlinear Math. Phys. 31, No. 1, Paper No. 1, 17 p. (2024; Zbl 07803616) Full Text: DOI OA License
Biranvand, Nader; Ebrahimijahan, Ali Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation. (English) Zbl 07803460 Comput. Appl. Math. 43, No. 1, Paper No. 52, 26 p. (2024). MSC: 34K37 65L80 PDFBibTeX XMLCite \textit{N. Biranvand} and \textit{A. Ebrahimijahan}, Comput. Appl. Math. 43, No. 1, Paper No. 52, 26 p. (2024; Zbl 07803460) Full Text: DOI
Vanterler da C. Sousa, J.; Oliveira, D. S.; Tavares, Leandro S. Solutions of the mean curvature equation with the Nehari manifold. (English) Zbl 07803432 Comput. Appl. Math. 43, No. 1, Paper No. 24, 22 p. (2024). MSC: 26A33 35R11 35A15 PDFBibTeX XMLCite \textit{J. Vanterler da C. Sousa} et al., Comput. Appl. Math. 43, No. 1, Paper No. 24, 22 p. (2024; Zbl 07803432) Full Text: DOI
Jiang, Tao; Liu, Yu-Hang; Li, Qiang; Ren, Jin-Lian; Wang, Deng-Shan An accelerated novel meshless coupled Algorithm for non-local nonlinear behavior in 2D/3D space-fractional GPEs. (English) Zbl 07803312 Comput. Phys. Commun. 296, Article ID 109023, 13 p. (2024). MSC: 65L50 26A33 68W10 65M50 65N50 PDFBibTeX XMLCite \textit{T. Jiang} et al., Comput. Phys. Commun. 296, Article ID 109023, 13 p. (2024; Zbl 07803312) Full Text: DOI
El Haoui, Youssef; Zayed, Mohra On the fractional space-time Fourier transforms. (English) Zbl 07803294 Integral Transforms Spec. Funct. 35, No. 2, 127-150 (2024). MSC: 42B10 42A85 30G35 44A05 44A35 26A33 PDFBibTeX XMLCite \textit{Y. El Haoui} and \textit{M. Zayed}, Integral Transforms Spec. Funct. 35, No. 2, 127--150 (2024; Zbl 07803294) Full Text: DOI
Liao, Hong-Lin; Tang, Tao; Zhou, Tao Positive definiteness of real quadratic forms resulting from the variable-step \(\mathrm{L}1\)-type approximations of convolution operators. (English) Zbl 07803265 Sci. China, Math. 67, No. 2, 237-252 (2024). MSC: 65M06 65N06 65M12 35R09 45D05 26A33 35R11 PDFBibTeX XMLCite \textit{H.-L. Liao} et al., Sci. China, Math. 67, No. 2, 237--252 (2024; Zbl 07803265) Full Text: DOI arXiv
Salehi Shayegan, Amir Hossein; Zakeri, Ali; Salehi Shayegan, Adib Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant. (English) Zbl 07803165 J. Inverse Ill-Posed Probl. 32, No. 1, 107-126 (2024). MSC: 65M32 65M30 65M60 65M06 65N30 65H10 65K10 47A52 35R30 35R25 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{A. H. Salehi Shayegan} et al., J. Inverse Ill-Posed Probl. 32, No. 1, 107--126 (2024; Zbl 07803165) Full Text: DOI
Nair, M. Thamban; Danumjaya, P. A new regularization for time-fractional backward heat conduction problem. (English) Zbl 07803162 J. Inverse Ill-Posed Probl. 32, No. 1, 41-56 (2024). MSC: 35R30 35R25 35R11 35K05 26A33 33E12 PDFBibTeX XMLCite \textit{M. T. Nair} and \textit{P. Danumjaya}, J. Inverse Ill-Posed Probl. 32, No. 1, 41--56 (2024; Zbl 07803162) Full Text: DOI arXiv
Abdallah, May On the well-posedness of dispersive-dissipative one dimensional equations with non decaying initial data. (English) Zbl 07802686 Monatsh. Math. 203, No. 2, 267-311 (2024). MSC: 35Q53 35C08 35C07 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{M. Abdallah}, Monatsh. Math. 203, No. 2, 267--311 (2024; Zbl 07802686) Full Text: DOI
Yu, Boyang; Li, Yonghai; Liu, Jiangguo A positivity-preserving and robust fast solver for time-fractional convection-diffusion problems. (English) Zbl 07802478 J. Sci. Comput. 98, No. 3, Paper No. 59, 26 p. (2024). MSC: 65M08 65M06 65N08 65H10 65M12 65M15 76R50 41A25 26A33 35R11 PDFBibTeX XMLCite \textit{B. Yu} et al., J. Sci. Comput. 98, No. 3, Paper No. 59, 26 p. (2024; Zbl 07802478) Full Text: DOI
Cui, Mengyuan; Tong, Shaocheng Predefined-time fuzzy adaptive decentralised control for fractional-order nonlinear large-scale systems by a cyclic-small-gain-based approach. (English) Zbl 07802440 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 55, No. 1, 68-86 (2024). MSC: 93D40 93C42 93C40 26A33 93C10 93A15 93B53 PDFBibTeX XMLCite \textit{M. Cui} and \textit{S. Tong}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 55, No. 1, 68--86 (2024; Zbl 07802440) Full Text: DOI
Dai, Feng; Grafakos, Loukas; Pan, Zhulei; Yang, Dachun; Yuan, Wen; Zhang, Yangyang The Bourgain-Brezis-Mironescu formula on ball Banach function spaces. (English) Zbl 07802404 Math. Ann. 388, No. 2, 1691-1768 (2024). MSC: 46E35 26D10 42B25 26A33 PDFBibTeX XMLCite \textit{F. Dai} et al., Math. Ann. 388, No. 2, 1691--1768 (2024; Zbl 07802404) Full Text: DOI
Kaptanoğlu, H. Turgay Uncertainty principles in holomorphic function spaces on the unit ball. (English) Zbl 07802122 Can. Math. Bull. 67, No. 1, 122-136 (2024). MSC: 81S07 26A33 30B10 30H20 30H25 32A05 32A36 46E20 46E22 46N50 47B32 47B37 PDFBibTeX XMLCite \textit{H. T. Kaptanoğlu}, Can. Math. Bull. 67, No. 1, 122--136 (2024; Zbl 07802122) Full Text: DOI OA License
Gong, Ping; Wang, Kun Multiplicity of positive solutions of integral BVPs for an impulsive fractional differential equation with positive homomorphism operator. (English) Zbl 07802102 Acta Math. Appl. Sin. 47, No. 1, 29-44 (2024). MSC: 26A33 34B18 34B37 PDFBibTeX XMLCite \textit{P. Gong} and \textit{K. Wang}, Acta Math. Appl. Sin. 47, No. 1, 29--44 (2024; Zbl 07802102) Full Text: Link
Trofimowicz, Damian; Stefański, Tomasz P.; Gulgowski, Jacek; Talaśka, Tomasz Modelling and simulations in time-fractional electrodynamics based on control engineering methods. (English) Zbl 07801786 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107720, 20 p. (2024). MSC: 78M20 78A25 78A40 35A20 93C20 49M41 33E12 65F15 35Q61 26A33 35R11 PDFBibTeX XMLCite \textit{D. Trofimowicz} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107720, 20 p. (2024; Zbl 07801786) Full Text: DOI
Narayanan, G.; Ali, M. Syed; Karthikeyan, Rajagopal; Rajchakit, Grienggrai; Thakur, Ganesh Kumar; Garg, Sudesh Kumar Global Mittag-Leffler boundedness of nabla discrete-time fractional-order fuzzy complex-valued molecular models of mRNA and protein in regulatory mechanisms. (English) Zbl 07801762 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107669, 13 p. (2024). MSC: 92C40 93C42 93C55 93C42 26A33 PDFBibTeX XMLCite \textit{G. Narayanan} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107669, 13 p. (2024; Zbl 07801762) Full Text: DOI
Antoine, Xavier; Gaidamour, Jérémie; Lorin, Emmanuel Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 07801761 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N35 65M12 65N06 65F10 49M41 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024; Zbl 07801761) Full Text: DOI
Qi, Ren-jun; Zhao, Xuan A unified design of energy stable schemes with variable steps for fractional gradient flows and nonlinear integro-differential equations. (English) Zbl 07801541 SIAM J. Sci. Comput. 46, No. 1, A130-A155 (2024). MSC: 35Q99 26A33 35R11 35R09 65M70 65M06 65N35 65N50 65M12 PDFBibTeX XMLCite \textit{R.-j. Qi} and \textit{X. Zhao}, SIAM J. Sci. Comput. 46, No. 1, A130--A155 (2024; Zbl 07801541) Full Text: DOI
Zhou, Yong Basic theory of fractional differential equations. 3rd edition. (English) Zbl 07801312 Singapore: World Scientific (ISBN 978-981-12-7168-7/hbk; 978-981-12-7170-0/ebook). xiii, 501 p. (2024). MSC: 34-02 34A08 26A33 35R11 34K37 34A37 34G20 PDFBibTeX XMLCite \textit{Y. Zhou}, Basic theory of fractional differential equations. 3rd edition. Singapore: World Scientific (2024; Zbl 07801312) Full Text: DOI
Zhang, Wen; Wu, Changxing; Ruan, Zhousheng; Qiu, Shufang A Jacobi spectral method for calculating fractional derivative based on mollification regularization. (English) Zbl 07799932 Asymptotic Anal. 136, No. 1, 61-77 (2024). MSC: 65M70 65M12 65M15 65D32 33C45 35B65 26A33 35R11 34A08 34B24 35R60 PDFBibTeX XMLCite \textit{W. Zhang} et al., Asymptotic Anal. 136, No. 1, 61--77 (2024; Zbl 07799932) Full Text: DOI
Kumar, Sunil; Chauhan, R. P.; Momani, Shaher; Hadid, Samir Numerical investigations on COVID-19 model through singular and non-singular fractional operators. (English) Zbl 07798404 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22707, 53 p. (2024). MSC: 65L05 92D30 26A33 PDFBibTeX XMLCite \textit{S. Kumar} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22707, 53 p. (2024; Zbl 07798404) Full Text: DOI
Khater, Mostafa M. A.; Hamed, Y. S.; Lu, Dianchen On rigorous computational and numerical solutions for the voltages of the electrified transmission range with the day yet distance. (English) Zbl 07798403 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22700, 19 p. (2024). MSC: 65R20 26A33 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22700, 19 p. (2024; Zbl 07798403) Full Text: DOI
Alomari, Abedel-Karrem; Abdeljawad, Thabet; Baleanu, Dumitru; Saad, Khaled M.; Al-Mdallal, Qasem M. Numerical solutions of fractional parabolic equations with generalized Mittag-Leffler kernels. (English) Zbl 07798402 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22699, 25 p. (2024). MSC: 65L05 26A33 PDFBibTeX XMLCite \textit{A.-K. Alomari} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22699, 25 p. (2024; Zbl 07798402) Full Text: DOI
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order \(1 < r < 2\). (English) Zbl 07798400 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22697, 21 p. (2024). MSC: 65R20 93B05 26A33 PDFBibTeX XMLCite \textit{W. Kavitha Williams} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22697, 21 p. (2024; Zbl 07798400) Full Text: DOI