Chen, Yuting; Fan, Zhenbin Novel interpolation spaces and maximal-weighted Hölder regularity results for the fractional abstract Cauchy problem. (English) Zbl 07819206 Math. Nachr. 297, No. 2, 560-576 (2024). MSC: 34G10 35B65 46B70 47A10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Fan}, Math. Nachr. 297, No. 2, 560--576 (2024; Zbl 07819206) Full Text: DOI
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
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
Durdiev, D. K. Convolution kernel determination problem for the time-fractional diffusion equation. (English) Zbl 07808021 Physica D 457, Article ID 133959, 7 p. (2024). Reviewer: Pu-Zhao Kow (Taipei City) MSC: 35R30 35K15 35R09 35R11 PDFBibTeX XMLCite \textit{D. K. Durdiev}, Physica D 457, Article ID 133959, 7 p. (2024; Zbl 07808021) Full Text: DOI
Bezerra, Flank D. M.; Santos, Lucas A. Chebyshev polynomials for higher order differential equations and fractional powers. (English) Zbl 07796279 Math. Ann. 388, No. 1, 675-702 (2024). MSC: 35R11 35K90 47A08 47D06 PDFBibTeX XMLCite \textit{F. D. M. Bezerra} and \textit{L. A. Santos}, Math. Ann. 388, No. 1, 675--702 (2024; Zbl 07796279) Full Text: DOI
Salim, Abdelkrim; Lazreg, Jamal Eddine; Ahmad, Bashir; Benchohra, Mouffak; Nieto, Juan J. A study on \(k\)-generalized \(\psi\)-Hilfer derivative operator. (English) Zbl 07787424 Vietnam J. Math. 52, No. 1, 25-43 (2024). MSC: 26A33 34A12 34A40 PDFBibTeX XMLCite \textit{A. Salim} et al., Vietnam J. Math. 52, No. 1, 25--43 (2024; Zbl 07787424) Full Text: DOI
Nakhusheva, Fatima Mukhamedovna; Kerefov, Marat Aslanbievich; Gekkieva, Sakinat Khasanovna; Karmokov, Mukhamed Matsevich On a class of non-local boundary value problems for the heat equation. (Russian. English summary) Zbl 07823383 Vestn. KRAUNTS, Fiz.-Mat. Nauki 44, No. 3, 30-38 (2023). MSC: 35D99 PDFBibTeX XMLCite \textit{F. M. Nakhusheva} et al., Vestn. KRAUNTS, Fiz.-Mat. Nauki 44, No. 3, 30--38 (2023; Zbl 07823383) Full Text: DOI MNR
Kostin, V. A.; Kostin, D. V.; Kostin, A. V. On Barenblatt-Zeldovich intermediate asymptotics. (English. Russian original) Zbl 07820593 Dokl. Math. 108, No. 3, 454-458 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, 39-43 (2023). MSC: 35Bxx 60Kxx 34Axx PDFBibTeX XMLCite \textit{V. A. Kostin} et al., Dokl. Math. 108, No. 3, 454--458 (2023; Zbl 07820593); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, 39--43 (2023) Full Text: DOI
Pourhadi, Ehsan; Saadati, Reza; Nieto, Juan J. On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness. (English) Zbl 07819960 Fixed Point Theory 24, No. 1, 343-366 (2023). MSC: 47H10 34A08 34A12 PDFBibTeX XMLCite \textit{E. Pourhadi} et al., Fixed Point Theory 24, No. 1, 343--366 (2023; Zbl 07819960) Full Text: DOI
Adm, Mohammad; Khalil, Roshdi New definition of fractional analytic functions. (English) Zbl 07803491 Missouri J. Math. Sci. 35, No. 2, 194-209 (2023). MSC: 26A33 34A55 PDFBibTeX XMLCite \textit{M. Adm} and \textit{R. Khalil}, Missouri J. Math. Sci. 35, No. 2, 194--209 (2023; Zbl 07803491) Full Text: DOI
Agachev, Yu. R.; Guskova, A. V. Generalized polynomial method for solving a Cauchy-type problem for one fractional differential equation. (English. Russian original) Zbl 07794031 J. Math. Sci., New York 275, No. 5, 602-612 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 176, 80-90 (2020). MSC: 34A08 34A12 34A45 PDFBibTeX XMLCite \textit{Yu. R. Agachev} and \textit{A. V. Guskova}, J. Math. Sci., New York 275, No. 5, 602--612 (2023; Zbl 07794031); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 176, 80--90 (2020) Full Text: DOI
Kamenskii, M.; Obukhovskii, V.; Petrosyan, G. A continuous dependence of a solution set for fractional differential inclusions of an order \(q\in(1,2)\) on parameters and initial data. (English) Zbl 07792150 Lobachevskii J. Math. 44, No. 8, 3331-3342 (2023). Reviewer: Marko Kostić (Novi Sad) MSC: 34A08 26A33 34G25 34C29 47H10 34A12 PDFBibTeX XMLCite \textit{M. Kamenskii} et al., Lobachevskii J. Math. 44, No. 8, 3331--3342 (2023; Zbl 07792150) Full Text: DOI
Shinde, Sopan Raosaheb; Pathak, Renu Praveen Application of fixed point theorem in the solution of integro-differential equations: a complex valued approach. (English) Zbl 07790496 Jñānābha 53, No. 2, 287-300 (2023). MSC: 47H09 34A08 47H10 PDFBibTeX XMLCite \textit{S. R. Shinde} and \textit{R. P. Pathak}, Jñānābha 53, No. 2, 287--300 (2023; Zbl 07790496) 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
Ragb, Ola; Wazwaz, Abdul-Majid; Mohamed, Mokhtar; Matbuly, M. S.; Salah, Mohamed Fractional differential quadrature techniques for fractional order Cauchy reaction-diffusion equations. (English) Zbl 07783853 Math. Methods Appl. Sci. 46, No. 9, 10216-10233 (2023). MSC: 65L10 35G50 35G55 PDFBibTeX XMLCite \textit{O. Ragb} et al., Math. Methods Appl. Sci. 46, No. 9, 10216--10233 (2023; Zbl 07783853) Full Text: DOI
Kavitha Williams, Williams; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy An analysis on approximate controllability of Atangana-Baleanu fractional semilinear control systems. (English) Zbl 07773920 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2627-2638 (2023). MSC: 34A08 34K37 58C30 PDFBibTeX XMLCite \textit{W. Kavitha Williams} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2627--2638 (2023; Zbl 07773920) Full Text: DOI
Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space. (English) Zbl 07773889 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2047-2060 (2023). MSC: 34A08 34G25 47D09 35R70 34B10 PDFBibTeX XMLCite \textit{M. Mohan Raja} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2047--2060 (2023; Zbl 07773889) Full Text: DOI
Shen, Xiaohui; Ye, Tiefeng; Shen, Tengfei Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation. (English) Zbl 07773200 Bound. Value Probl. 2023, Paper No. 104, 11 p. (2023). MSC: 34A08 34A12 47H10 37C60 PDFBibTeX XMLCite \textit{X. Shen} et al., Bound. Value Probl. 2023, Paper No. 104, 11 p. (2023; Zbl 07773200) Full Text: DOI OA License
Neves, Wladimir; Orlando, Dionicio On fractional Benney type systems. (English) Zbl 1527.35476 SIAM J. Math. Anal. 55, No. 6, 7296-7327 (2023). MSC: 35R11 35D30 35Q60 35Q55 PDFBibTeX XMLCite \textit{W. Neves} and \textit{D. Orlando}, SIAM J. Math. Anal. 55, No. 6, 7296--7327 (2023; Zbl 1527.35476) Full Text: DOI arXiv
Marynets, Kateryna On the Cauchy-Nicoletti type two-point boundary-value problem for fractional differential systems. (English) Zbl 07757193 Differ. Equ. Dyn. Syst. 31, No. 4, 847-867 (2023). MSC: 34A08 34B15 34A45 PDFBibTeX XMLCite \textit{K. Marynets}, Differ. Equ. Dyn. Syst. 31, No. 4, 847--867 (2023; Zbl 07757193) Full Text: DOI OA License
Bogoya, Manuel; Grudsky, Sergei; Mazza, Mariarosa; Serra-Capizzano, Stefano On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems. (English) Zbl 07755386 Linear Multilinear Algebra 71, No. 15, 2462-2473 (2023). MSC: 15B05 15A18 15A42 65L05 34A08 26A33 PDFBibTeX XMLCite \textit{M. Bogoya} et al., Linear Multilinear Algebra 71, No. 15, 2462--2473 (2023; Zbl 07755386) Full Text: DOI arXiv
Dineshkumar, Chendrayan; Vijayakumar, Velusamy; Udhayakumar, Ramalingam; Shukla, Anurag; Nisar, Kottakkaran Sooppy Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\). (English) Zbl 07748415 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1947-1979 (2023). MSC: 26A33 34A08 34K30 47D09 45D05 93E03 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1947--1979 (2023; Zbl 07748415) Full Text: DOI
Khasanov, Ibrokhim Ikhmierovich; Akramova, Dilshoda Isroil kizi; Rakhmonov, Askar Akhmadovich Investigation of the Cauchy problem for one fractional order equation with the Riemann-Liouville operator. (Russian. English summary) Zbl 07744567 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 27, No. 1, 64-80 (2023). MSC: 35R11 35A08 PDFBibTeX XMLCite \textit{I. I. Khasanov} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 27, No. 1, 64--80 (2023; Zbl 07744567) Full Text: DOI MNR
Li, Tian-Yi; Chen, Fang; Sun, Hai-Wei; Sun, Tao Preconditioning technique based on sine transformation for nonlocal Helmholtz equations with fractional Laplacian. (English) Zbl 1526.65003 J. Sci. Comput. 97, No. 1, Paper No. 17, 20 p. (2023). MSC: 65F08 65F10 65N22 35R11 15B05 PDFBibTeX XMLCite \textit{T.-Y. Li} et al., J. Sci. Comput. 97, No. 1, Paper No. 17, 20 p. (2023; Zbl 1526.65003) Full Text: DOI
Fedorov, V. E.; Boyko, K. V. Quasilinear equations with a sectorial set of operators at Gerasimov-Caputo derivatives. (English. Russian original) Zbl 1522.35553 Proc. Steklov Inst. Math. 321, Suppl. 1, S78-S89 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 248-259 (2023). MSC: 35R11 35G31 34G20 PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{K. V. Boyko}, Proc. Steklov Inst. Math. 321, S78--S89 (2023; Zbl 1522.35553); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 248--259 (2023) Full Text: DOI
Zeng, Shengda; Haddad, Tahar; Bouach, Abderrahim Well-posedness of fractional Moreau’s sweeping processes of Caputo type. (English) Zbl 07733030 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107361, 20 p. (2023). MSC: 47J22 34G25 26A33 34K38 34K32 PDFBibTeX XMLCite \textit{S. Zeng} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107361, 20 p. (2023; Zbl 07733030) Full Text: DOI
Istafa, Ghafirlia; Rehman, Mujeeb ur A numerical method for fractional Sturm-Liouville problems involving the Cauchy-Euler operators. (English) Zbl 07732719 J. Comput. Appl. Math. 429, Article ID 115221, 21 p. (2023). MSC: 65Lxx 34A08 34B24 PDFBibTeX XMLCite \textit{G. Istafa} and \textit{M. u. Rehman}, J. Comput. Appl. Math. 429, Article ID 115221, 21 p. (2023; Zbl 07732719) Full Text: DOI
Kostin, Vladimir Alekseevich; Kostin, Dmitriĭ Vladimirovich; Hamsa, Alkadi Problem without initial conditions for equation with fractional derivatives and intermediate asymptotics. (Russian. English summary) Zbl 1520.35162 Chelyabinskiĭ Fiz.-Mat. Zh. 8, No. 1, 18-28 (2023). MSC: 35R11 34A08 47D06 PDFBibTeX XMLCite \textit{V. A. Kostin} et al., Chelyabinskiĭ Fiz.-Mat. Zh. 8, No. 1, 18--28 (2023; Zbl 1520.35162) Full Text: DOI MNR
Litovchenko, V. A. Local Polya fluctuations of Riesz gravitational fields and the Cauchy problem. (English) Zbl 1519.35358 Carpathian Math. Publ. 15, No. 1, 222-235 (2023). MSC: 35R11 35A08 35K15 35S05 60G22 PDFBibTeX XMLCite \textit{V. A. Litovchenko}, Carpathian Math. Publ. 15, No. 1, 222--235 (2023; Zbl 1519.35358) Full Text: DOI
Wang, Sen; Zhou, Xian-Feng The Cauchy problem for time-fractional linear nonlocal diffusion equations. (English) Zbl 07719439 Z. Angew. Math. Phys. 74, No. 4, Paper No. 156, 19 p. (2023). MSC: 35Q99 35B40 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{S. Wang} and \textit{X.-F. Zhou}, Z. Angew. Math. Phys. 74, No. 4, Paper No. 156, 19 p. (2023; Zbl 07719439) Full Text: DOI
Omarova, Asiyat Gamzatovna A numerical method of solving the Cauchy problem for one differential equation with the Caputo fractional derivative. (Russian. English summary) Zbl 1517.65073 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2023, No. 81, 31-38 (2023). MSC: 65M06 34A08 PDFBibTeX XMLCite \textit{A. G. Omarova}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2023, No. 81, 31--38 (2023; Zbl 1517.65073) Full Text: DOI MNR
Vatolkin, M. Yu. On the spectrum of a quasi-differential boundary value problem of the second-order. (English. Russian original) Zbl 1521.34023 Russ. Math. 67, No. 1, 1-19 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 1, 3-24 (2023). MSC: 34B09 34A08 34L05 34L10 34L15 PDFBibTeX XMLCite \textit{M. Yu. Vatolkin}, Russ. Math. 67, No. 1, 1--19 (2023; Zbl 1521.34023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 1, 3--24 (2023) Full Text: DOI
Kokurin, M. M. Discrete approximation of solutions of the Cauchy problem for a linear homogeneous differential-operator equation with a Caputo fractional derivative in a Banach space. (English. Russian original) Zbl 07712811 J. Math. Sci., New York 272, No. 6, 826-852 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 175, 79-104 (2020). MSC: 65J08 34A08 PDFBibTeX XMLCite \textit{M. M. Kokurin}, J. Math. Sci., New York 272, No. 6, 826--852 (2023; Zbl 07712811); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 175, 79--104 (2020) Full Text: DOI
Luk, Jonathan; Van de Moortel, Maxime Nonlinear interaction of three impulsive gravitational waves. II: The wave estimates. (English) Zbl 1522.35502 Ann. PDE 9, No. 1, Paper No. 10, 137 p. (2023). MSC: 35Q76 83C05 83C10 35B65 42B25 26A33 35R11 PDFBibTeX XMLCite \textit{J. Luk} and \textit{M. Van de Moortel}, Ann. PDE 9, No. 1, Paper No. 10, 137 p. (2023; Zbl 1522.35502) Full Text: DOI arXiv
Fedorov, Vladimir E.; Turov, Mikhail M. Multi-term equations with Riemann-Liouville derivatives and Hölder type function spaces. (English) Zbl 1519.35355 Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 42, 25 p. (2023). MSC: 35R11 34A08 PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{M. M. Turov}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 42, 25 p. (2023; Zbl 1519.35355) Full Text: DOI
Bekbolat, Bayan; Serikbaev, Daurenbek; Tokmagambetov, Niyaz Direct and inverse problems for time-fractional heat equation generated by Dunkl operator. (English) Zbl 1518.35618 J. Inverse Ill-Posed Probl. 31, No. 3, 393-408 (2023). MSC: 35R11 35R30 35S05 47G30 42B37 47A60 42C40 PDFBibTeX XMLCite \textit{B. Bekbolat} et al., J. Inverse Ill-Posed Probl. 31, No. 3, 393--408 (2023; Zbl 1518.35618) Full Text: DOI
Smadiyeva, Asselya G. Degenerate time-fractional diffusion equation with initial and initial-boundary conditions. (English) Zbl 1518.35647 Georgian Math. J. 30, No. 3, 435-443 (2023). MSC: 35R11 35A02 35K20 PDFBibTeX XMLCite \textit{A. G. Smadiyeva}, Georgian Math. J. 30, No. 3, 435--443 (2023; Zbl 1518.35647) Full Text: DOI
Aceto, L.; Mazza, M. A rational preconditioner for multi-dimensional Riesz fractional diffusion equations. (English) Zbl 07703996 Comput. Math. Appl. 143, 372-382 (2023). MSC: 65-XX 35R11 65M06 65F08 65F60 15B05 35R11 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{M. Mazza}, Comput. Math. Appl. 143, 372--382 (2023; Zbl 07703996) Full Text: DOI
Alvarez, E.; Grau, R.; Meriño, R. \((\omega, c)\)-periodic solutions for a class of fractional integrodifferential equations. (English) Zbl 1518.35615 Bound. Value Probl. 2023, Paper No. 40, 16 p. (2023). MSC: 35R11 35K90 45K05 47D06 PDFBibTeX XMLCite \textit{E. Alvarez} et al., Bound. Value Probl. 2023, Paper No. 40, 16 p. (2023; Zbl 1518.35615) Full Text: DOI
Chang, Yong-Kui; Zhao, Jianguo Weighted pseudo asymptotically Bloch periodic solutions to nonlocal Cauchy problems of integrodifferential equations in Banach spaces. (English) Zbl 07702455 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 581-598 (2023). MSC: 34K13 58D25 34K37 PDFBibTeX XMLCite \textit{Y.-K. Chang} and \textit{J. Zhao}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 581--598 (2023; Zbl 07702455) Full Text: DOI
Chen, Yunkun; Peng, Yi; Shi, Xiaoding A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor. (English) Zbl 1519.35238 Appl. Math. Lett. 140, Article ID 108567, 6 p. (2023). MSC: 35Q35 76W05 35B44 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Math. Lett. 140, Article ID 108567, 6 p. (2023; Zbl 1519.35238) Full Text: DOI
Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices. (English) Zbl 1516.15005 ETNA, Electron. Trans. Numer. Anal. 58, 136-163 (2023). MSC: 15A18 15B05 34L20 65N22 35R11 PDFBibTeX XMLCite \textit{M. Bolten} et al., ETNA, Electron. Trans. Numer. Anal. 58, 136--163 (2023; Zbl 1516.15005) Full Text: DOI arXiv Link
Fedorov, V. E.; Avilovich, A. S.; Zakharova, T. A. Complex powers of fractional sectorial operators and quasilinear equations with Riemann-Liouville derivatives. (English) Zbl 07688840 Lobachevskii J. Math. 44, No. 2, 580-593 (2023). MSC: 47Dxx 34-XX 35Rxx PDFBibTeX XMLCite \textit{V. E. Fedorov} et al., Lobachevskii J. Math. 44, No. 2, 580--593 (2023; Zbl 07688840) Full Text: DOI
Jaiswal, Anjali; Bahuguna, D. Hilfer fractional differential equations with almost sectorial operators. (English) Zbl 1519.34068 Differ. Equ. Dyn. Syst. 31, No. 2, 301-317 (2023). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34G20 34A08 26A33 34A12 47N20 PDFBibTeX XMLCite \textit{A. Jaiswal} and \textit{D. Bahuguna}, Differ. Equ. Dyn. Syst. 31, No. 2, 301--317 (2023; Zbl 1519.34068) Full Text: DOI
Mei, Jie; Li, Miao Abstract fractional inverse source problem of order \(0<\alpha <1\) in a Banach space. (English) Zbl 1509.35381 Fract. Calc. Appl. Anal. 26, No. 1, 276-304 (2023). MSC: 35R30 35R11 33E12 47A60 PDFBibTeX XMLCite \textit{J. Mei} and \textit{M. Li}, Fract. Calc. Appl. Anal. 26, No. 1, 276--304 (2023; Zbl 1509.35381) 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
Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions. (English) Zbl 1512.35626 Inverse Probl. Imaging 17, No. 1, 1-22 (2023). MSC: 35R11 35R30 35B53 35B60 PDFBibTeX XMLCite \textit{Z. Li} et al., Inverse Probl. Imaging 17, No. 1, 1--22 (2023; Zbl 1512.35626) Full Text: DOI arXiv
Antoniouk, Alexandra V.; Kochubei, Anatoly N.; Serdiuk, Mariia V. Pseudo-differential equations with weak degeneration for radial functions of \(p\)-adic argument. (English) Zbl 1510.35410 J. Math. Anal. Appl. 523, No. 2, Article ID 127026, 15 p. (2023). MSC: 35S05 12H25 46S10 PDFBibTeX XMLCite \textit{A. V. Antoniouk} et al., J. Math. Anal. Appl. 523, No. 2, Article ID 127026, 15 p. (2023; Zbl 1510.35410) Full Text: DOI arXiv
Santos, Lucas A.; Bezerra, Flank D. M. A well-posed logarithmic counterpart of an ill-posed Cauchy problem. (English) Zbl 07667637 Bull. Braz. Math. Soc. (N.S.) 54, No. 2, Paper No. 14, 13 p. (2023). MSC: 34G10 34A12 47D06 47D03 PDFBibTeX XMLCite \textit{L. A. Santos} and \textit{F. D. M. Bezerra}, Bull. Braz. Math. Soc. (N.S.) 54, No. 2, Paper No. 14, 13 p. (2023; Zbl 07667637) Full Text: DOI
Ledesma, César T.; Rodríguez, Jesús A.; da C. Sousa, J. Vanterler Differential equations with fractional derivatives with fixed memory length. (English) Zbl 07658717 Rend. Circ. Mat. Palermo (2) 72, No. 1, 635-653 (2023). MSC: 34A08 26A33 34A12 47H10 44A10 PDFBibTeX XMLCite \textit{C. T. Ledesma} et al., Rend. Circ. Mat. Palermo (2) 72, No. 1, 635--653 (2023; Zbl 07658717) Full Text: DOI
Ma, Tingting; Zheng, Qianqian; Fu, Yayun Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation. (English) Zbl 1508.65108 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107067, 15 p. (2023). MSC: 65M06 65N06 65M12 15B05 35C08 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{T. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107067, 15 p. (2023; Zbl 1508.65108) Full Text: DOI
Guidetti, Davide On the Cauchy-Dirichlet problem for fully nonlinear equations with fractional time derivative. (English) Zbl 1509.35345 Rev. Mat. Complut. 36, No. 1, 141-162 (2023). MSC: 35R11 35G31 PDFBibTeX XMLCite \textit{D. Guidetti}, Rev. Mat. Complut. 36, No. 1, 141--162 (2023; Zbl 1509.35345) Full Text: DOI
Alazard, Thomas; Nguyen, Quoc-Hung Endpoint Sobolev theory for the Muskat equation. (English) Zbl 1509.35206 Commun. Math. Phys. 397, No. 3, 1043-1102 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76S05 76T06 76D27 35B65 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{T. Alazard} and \textit{Q.-H. Nguyen}, Commun. Math. Phys. 397, No. 3, 1043--1102 (2023; Zbl 1509.35206) Full Text: DOI arXiv
Fernandez, Arran; Restrepo, Joel E.; Suragan, Durvudkhan A new representation for the solutions of fractional differential equations with variable coefficients. (English) Zbl 1518.34002 Mediterr. J. Math. 20, No. 1, Paper No. 27, 20 p. (2023). MSC: 34A05 34A08 34A30 34A25 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Mediterr. J. Math. 20, No. 1, Paper No. 27, 20 p. (2023; Zbl 1518.34002) Full Text: DOI arXiv
Yu, Jian-Wei; Zhang, Chun-Hua; Huang, Xin; Wang, Xiang A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations. (English) Zbl 1505.65251 Japan J. Ind. Appl. Math. 40, No. 1, 537-562 (2023). MSC: 65M06 65N06 65T50 65F08 65M12 41A25 15B05 15A18 35R11 PDFBibTeX XMLCite \textit{J.-W. Yu} et al., Japan J. Ind. Appl. Math. 40, No. 1, 537--562 (2023; Zbl 1505.65251) Full Text: DOI
Gan, Di; Zhang, Guo-Feng Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients. (English) Zbl 1505.65284 J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023). MSC: 65N06 65M06 65F08 65F10 65F55 65M12 65N12 15B05 65T50 26A33 35R11 PDFBibTeX XMLCite \textit{D. Gan} and \textit{G.-F. Zhang}, J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023; Zbl 1505.65284) Full Text: DOI
Degtyarev, Sergey Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces. (English) Zbl 1504.35616 Evol. Equ. Control Theory 12, No. 1, 230-281 (2023). MSC: 35R11 35K15 35K30 PDFBibTeX XMLCite \textit{S. Degtyarev}, Evol. Equ. Control Theory 12, No. 1, 230--281 (2023; Zbl 1504.35616) Full Text: DOI arXiv
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\). (English) Zbl 1512.93020 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106891, 22 p. (2023). MSC: 93B05 26A33 34A08 34G25 47D09 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106891, 22 p. (2023; Zbl 1512.93020) Full Text: DOI
Èfendiev, Beslan Igor’evich Initial-value problem for a second-order ordinary differential equation with distributed-order differentiation operator. (Russian. English summary) Zbl 07822086 Mat. Zamet. SVFU 29, No. 2, 59-71 (2022). MSC: 34-XX 35-XX PDFBibTeX XMLCite \textit{B. I. Èfendiev}, Mat. Zamet. SVFU 29, No. 2, 59--71 (2022; Zbl 07822086) 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
Kumar, Sunil; Ghosh, Surath; Jleli, Mohamed; Araci, Serkan A fractional system of Cauchy-reaction diffusion equations by adopting Robotnov function. (English) Zbl 07777097 Numer. Methods Partial Differ. Equations 38, No. 3, 470-489 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Kumar} et al., Numer. Methods Partial Differ. Equations 38, No. 3, 470--489 (2022; Zbl 07777097) Full Text: DOI
Agarwal, Praveen; Baltaeva, Umida; Vaisova, Nafosat Cauchy problem for a parabolic-hyperbolic equation with non-characteristic line of type changing. (English) Zbl 07775990 Math. Methods Appl. Sci. 45, No. 13, 8294-8304 (2022). MSC: 35M10 35R11 PDFBibTeX XMLCite \textit{P. Agarwal} et al., Math. Methods Appl. Sci. 45, No. 13, 8294--8304 (2022; Zbl 07775990) Full Text: DOI
Fazli, Hossein; Sun, HongGuang; Nieto, Juan J. On solvability of differential equations with the Riesz fractional derivative. (English) Zbl 07767987 Math. Methods Appl. Sci. 45, No. 1, 197-205 (2022). MSC: 34A08 34A12 26A33 45E05 47H10 PDFBibTeX XMLCite \textit{H. Fazli} et al., Math. Methods Appl. Sci. 45, No. 1, 197--205 (2022; Zbl 07767987) Full Text: DOI
Gao, Chuanwei; Miao, Changxing; Zheng, Jiqiang Improved local smoothing estimates for the fractional Schrödinger operator. (English) Zbl 1521.35067 Bull. Lond. Math. Soc. 54, No. 1, 54-70 (2022). MSC: 35B65 35D30 35Q41 35R11 PDFBibTeX XMLCite \textit{C. Gao} et al., Bull. Lond. Math. Soc. 54, No. 1, 54--70 (2022; Zbl 1521.35067) Full Text: DOI arXiv
Kokurin, M. M.; Piskarev, S. I. A finite-difference scheme on a graded mesh for solving Cauchy problems with a fractional Caputo derivative in a Banach space. (English. Russian original) Zbl 07712845 Russ. Math. 66, No. 11, 33-45 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 11, 38-51 (2022). MSC: 65-XX 34A08 34A12 PDFBibTeX XMLCite \textit{M. M. Kokurin} and \textit{S. I. Piskarev}, Russ. Math. 66, No. 11, 33--45 (2022; Zbl 07712845); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 11, 38--51 (2022) Full Text: DOI
Ochilova, N. K. On a nonlocal boundary value problem for the degenerating mixed type equation with a fractional derivative. (English) Zbl 1524.35708 Uzb. Math. J. 66, No. 3, 112-121 (2022). MSC: 35R11 35K20 35B45 PDFBibTeX XMLCite \textit{N. K. Ochilova}, Uzb. Math. J. 66, No. 3, 112--121 (2022; Zbl 1524.35708)
Glushak, A. V. The associated operator Legendre function and the incomplete Cauchy problem. (English. Russian original) Zbl 1525.47072 Russ. Math. 66, No. 9, 1-10 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 9, 3-13 (2022). MSC: 47D06 34G10 26A33 PDFBibTeX XMLCite \textit{A. V. Glushak}, Russ. Math. 66, No. 9, 1--10 (2022; Zbl 1525.47072); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 9, 3--13 (2022) Full Text: DOI
Turov, Mikhail Mikhaĭlovich Quasilinear multi-term equations with Riemann-Liouville derivatives of arbitrary orders. (Russian. English summary) Zbl 1514.34025 Chelyabinskiĭ Fiz.-Mat. Zh. 7, No. 4, 434-446 (2022). MSC: 34A08 34A12 34G10 PDFBibTeX XMLCite \textit{M. M. Turov}, Chelyabinskiĭ Fiz.-Mat. Zh. 7, No. 4, 434--446 (2022; Zbl 1514.34025) Full Text: DOI MNR
Litovchenko, Vladyslav The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field. (English) Zbl 1503.35293 Fract. Calc. Appl. Anal. 25, No. 2, 668-686 (2022). MSC: 35S10 35S05 35R11 26A33 60G51 PDFBibTeX XMLCite \textit{V. Litovchenko}, Fract. Calc. Appl. Anal. 25, No. 2, 668--686 (2022; Zbl 1503.35293) Full Text: DOI
Zheng, Xiangcheng Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems. (English) Zbl 1503.45015 Fract. Calc. Appl. Anal. 25, No. 4, 1585-1603 (2022). MSC: 45P05 34A08 PDFBibTeX XMLCite \textit{X. Zheng}, Fract. Calc. Appl. Anal. 25, No. 4, 1585--1603 (2022; Zbl 1503.45015) Full Text: DOI arXiv
Gomoyunov, Mikhail I. On differentiability of solutions of fractional differential equations with respect to initial data. (English) Zbl 1503.34016 Fract. Calc. Appl. Anal. 25, No. 4, 1484-1506 (2022). MSC: 34A08 26A33 34A12 PDFBibTeX XMLCite \textit{M. I. Gomoyunov}, Fract. Calc. Appl. Anal. 25, No. 4, 1484--1506 (2022; Zbl 1503.34016) Full Text: DOI arXiv
Dubovski, Pavel B.; Slepoi, Jeffrey A. Construction and analysis of series solutions for fractional quasi-Bessel equations. (English) Zbl 1503.34014 Fract. Calc. Appl. Anal. 25, No. 3, 1229-1249 (2022). MSC: 34A08 33E12 26A33 PDFBibTeX XMLCite \textit{P. B. Dubovski} and \textit{J. A. Slepoi}, Fract. Calc. Appl. Anal. 25, No. 3, 1229--1249 (2022; Zbl 1503.34014) Full Text: DOI
Pandey, S. C. On some computable solutions of unified families of fractional differential equations. (English) Zbl 1519.34005 São Paulo J. Math. Sci. 16, No. 2, 1280-1308 (2022). MSC: 34A08 26A33 34A12 34A05 44A10 33E20 PDFBibTeX XMLCite \textit{S. C. Pandey}, São Paulo J. Math. Sci. 16, No. 2, 1280--1308 (2022; Zbl 1519.34005) Full Text: DOI
Aslani, H.; Khojasteh, Salkuyeh D.; Taghipour, M. A new iteration method for solving space fractional coupled nonlinear Schrödinger equations. (English) Zbl 1499.65369 Iran. J. Numer. Anal. Optim. 12, No. 3, 704-718 (2022). MSC: 65M06 65F10 35Q55 35R11 15B05 65M12 81Q05 81V99 PDFBibTeX XMLCite \textit{H. Aslani} et al., Iran. J. Numer. Anal. Optim. 12, No. 3, 704--718 (2022; Zbl 1499.65369) Full Text: DOI
Raja, M. Mohan; Shukla, Anurag; Nieto, Juan J.; Vijayakumar, V.; Sooppy Nisar, Kottakkaran A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2]\) with impulses. (English) Zbl 1508.34102 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 150, 41 p. (2022). MSC: 34K37 34K30 34K45 34K35 93B05 47D09 47H10 34K09 PDFBibTeX XMLCite \textit{M. M. Raja} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 150, 41 p. (2022; Zbl 1508.34102) Full Text: DOI
Zhang, Min; Zhang, Guo-Feng Fast solution method and simulation for the 2D time-space fractional Black-Scholes equation governing European two-asset option pricing. (English) Zbl 1507.91239 Numer. Algorithms 91, No. 4, 1559-1575 (2022). MSC: 91G60 65M06 65N06 65F10 65F08 65F50 65F55 65N20 65N22 65Y05 15B05 26A33 35R11 91G20 35Q91 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{G.-F. Zhang}, Numer. Algorithms 91, No. 4, 1559--1575 (2022; Zbl 1507.91239) Full Text: DOI
Asadzadeh, M.; Saray, B. N. On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem. (English) Zbl 1507.65296 BIT 62, No. 4, 1383-1416 (2022). MSC: 65R20 34A08 42C40 65L60 74S25 PDFBibTeX XMLCite \textit{M. Asadzadeh} and \textit{B. N. Saray}, BIT 62, No. 4, 1383--1416 (2022; Zbl 1507.65296) Full Text: DOI
Irgashev, B. Yu Non-uniqueness of the solution to the problem Cauchy for one equation of high order with fractional Caputo derivative. (English) Zbl 1498.35579 Chaos Solitons Fractals 157, Article ID 111977, 3 p. (2022). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{B. Y. Irgashev}, Chaos Solitons Fractals 157, Article ID 111977, 3 p. (2022; Zbl 1498.35579) Full Text: DOI
Fedorov, V. E.; Turov, M. M. Sectorial tuples of operators and quasilinear fractional equations with multi-term linear part. (English) Zbl 1507.34006 Lobachevskii J. Math. 43, No. 6, 1502-1512 (2022). MSC: 34A08 34G20 34A12 PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{M. M. Turov}, Lobachevskii J. Math. 43, No. 6, 1502--1512 (2022; Zbl 1507.34006) Full Text: DOI
Boyko, K. V.; Fedorov, V. E. The Cauchy problem for a class of multi-term equations with Gerasimov-Caputo derivatives. (English) Zbl 1511.34068 Lobachevskii J. Math. 43, No. 6, 1293-1302 (2022). Reviewer: Arzu Ahmadova (Essen) MSC: 34G10 34A08 34A12 PDFBibTeX XMLCite \textit{K. V. Boyko} and \textit{V. E. Fedorov}, Lobachevskii J. Math. 43, No. 6, 1293--1302 (2022; Zbl 1511.34068) Full Text: DOI
Tuan, Nguyen Hoang; Ho, Duy Binh; Nguyen, Anh Tuan Final and nonlocal problems for fractional elliptic type equations. (English) Zbl 1503.35277 J. Nonlinear Convex Anal. 23, No. 6, 1167-1178 (2022). MSC: 35R11 35K20 35A08 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., J. Nonlinear Convex Anal. 23, No. 6, 1167--1178 (2022; Zbl 1503.35277) Full Text: Link
Huang, Xin; Fang, Zhi-Wei; Sun, Hai-Wei; Zhang, Chun-Hua A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations. (English) Zbl 1500.65041 Linear Multilinear Algebra 70, No. 16, 3081-3096 (2022). MSC: 65M06 65F08 65F10 65M12 15B05 15A18 26A33 35R11 PDFBibTeX XMLCite \textit{X. Huang} et al., Linear Multilinear Algebra 70, No. 16, 3081--3096 (2022; Zbl 1500.65041) Full Text: DOI
Ayari, Amira; Boukerrioua, Khaled Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications. (English) Zbl 1496.26027 Rad Hrvat. Akad. Znan. Umjet. 551, Mat. Znan. 26, 127-138 (2022). MSC: 26D15 26A33 26A42 34A08 34A12 47B38 PDFBibTeX XMLCite \textit{A. Ayari} and \textit{K. Boukerrioua}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 551(26), 127--138 (2022; Zbl 1496.26027) Full Text: DOI
Obukhovskii, Valeri; Zecca, Pietro; Afanasova, Maria On some boundary value problems for fractional feedback control systems. (English) Zbl 1506.34078 Differ. Equ. Dyn. Syst. 30, No. 4, 777-800 (2022). MSC: 34G25 34B10 34A08 34H05 47H08 34A09 47H11 49K27 93B52 47N20 PDFBibTeX XMLCite \textit{V. Obukhovskii} et al., Differ. Equ. Dyn. Syst. 30, No. 4, 777--800 (2022; Zbl 1506.34078) Full Text: DOI
Xu, Yuan; Lei, Siu-Long; Sun, Hai-Wei An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations. (English) Zbl 1524.65425 Comput. Math. Appl. 124, 218-226 (2022). MSC: 65M06 65F10 35R11 65N55 65M12 26A33 15B05 65F08 PDFBibTeX XMLCite \textit{Y. Xu} et al., Comput. Math. Appl. 124, 218--226 (2022; Zbl 1524.65425) Full Text: DOI
Chen, Siqi; Chang, Yong-Kui Optimal controls for nonlocal Cauchy problems of multi-term fractional evolution equations. (English) Zbl 1502.49025 IMA J. Math. Control Inf. 39, No. 3, 912-929 (2022). Reviewer: Alfred Göpfert (Leipzig) MSC: 49K21 49K27 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Y.-K. Chang}, IMA J. Math. Control Inf. 39, No. 3, 912--929 (2022; Zbl 1502.49025) Full Text: DOI
Barakitis, Nikos; Ekström, Sven-Erik; Vassalos, Paris Preconditioners for fractional diffusion equations based on the spectral symbol. (English) Zbl 07584149 Numer. Linear Algebra Appl. 29, No. 5, e2441, 22 p. (2022). MSC: 65F08 15B05 PDFBibTeX XMLCite \textit{N. Barakitis} et al., Numer. Linear Algebra Appl. 29, No. 5, e2441, 22 p. (2022; Zbl 07584149) Full Text: DOI arXiv
Aydin, Mustafa; Mahmudov, Nazim I. Study of the \(\varphi\)-generalized type \(k\)-fractional integrals or derivatives and some of their properties. (English) Zbl 1495.34106 Turk. J. Math. 46, No. 4, 1384-1396 (2022). MSC: 34K37 26A33 PDFBibTeX XMLCite \textit{M. Aydin} and \textit{N. I. Mahmudov}, Turk. J. Math. 46, No. 4, 1384--1396 (2022; Zbl 1495.34106) Full Text: DOI
Glushak, A. V. On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation. (English. Russian original) Zbl 1496.35156 Differ. Equ. 58, No. 5, 577-592 (2022); translation from Differ. Uravn. 58, No. 5, 575-590 (2022). MSC: 35C15 34G10 47D09 PDFBibTeX XMLCite \textit{A. V. Glushak}, Differ. Equ. 58, No. 5, 577--592 (2022; Zbl 1496.35156); translation from Differ. Uravn. 58, No. 5, 575--590 (2022) Full Text: DOI
Hu, Wen; Fu, Zhuojia; Tang, Zhuochao; Gu, Yan A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials. (English) Zbl 1521.74416 Eng. Anal. Bound. Elem. 140, 132-144 (2022). MSC: 74S99 65M32 35R11 65M70 74A15 PDFBibTeX XMLCite \textit{W. Hu} et al., Eng. Anal. Bound. Elem. 140, 132--144 (2022; Zbl 1521.74416) Full Text: DOI
Huang, Xin; Li, Dongfang; Sun, Hai-Wei; Zhang, Fan Preconditioners with symmetrized techniques for space fractional Cahn-Hilliard equations. (English) Zbl 1492.65238 J. Sci. Comput. 92, No. 2, Paper No. 41, 25 p. (2022). MSC: 65M06 35R11 15B05 65F08 65F10 PDFBibTeX XMLCite \textit{X. Huang} et al., J. Sci. Comput. 92, No. 2, Paper No. 41, 25 p. (2022; Zbl 1492.65238) Full Text: DOI
Ong, Kian Chuan; Seol, Yunchang; Lai, Ming-Chih An immersed boundary projection method for solving the fluid-rigid body interaction problems. (English) Zbl 07561060 J. Comput. Phys. 466, Article ID 111367, 17 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{K. C. Ong} et al., J. Comput. Phys. 466, Article ID 111367, 17 p. (2022; Zbl 07561060) 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
Ochilova, N. K.; Yuldashev, T. K. On a nonlocal boundary value problem for a degenerate parabolic-hyperbolic equation with fractional derivative. (English) Zbl 1490.35232 Lobachevskii J. Math. 43, No. 1, 229-236 (2022). MSC: 35M10 35R11 PDFBibTeX XMLCite \textit{N. K. Ochilova} and \textit{T. K. Yuldashev}, Lobachevskii J. Math. 43, No. 1, 229--236 (2022; Zbl 1490.35232) Full Text: DOI
Harikrishnan, Sugumaran; Baghani, Omid; Kanagarajan, Kuppusamy Qualitative analysis of fractional differential equations with \(\psi\)-Hilfer fractional derivative. (English) Zbl 1513.34023 Comput. Methods Differ. Equ. 10, No. 1, 1-11 (2022). MSC: 34A08 26A33 34A12 34A45 PDFBibTeX XMLCite \textit{S. Harikrishnan} et al., Comput. Methods Differ. Equ. 10, No. 1, 1--11 (2022; Zbl 1513.34023) Full Text: DOI
Khor, Calvin; Xu, Xiaojing Temperature patches for the subcritical Boussinesq-Navier-Stokes system with no diffusion. (English) Zbl 1490.35328 J. Funct. Anal. 283, No. 2, Article ID 109501, 26 p. (2022). MSC: 35Q35 76D05 80A19 45E05 35R05 35F25 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{C. Khor} and \textit{X. Xu}, J. Funct. Anal. 283, No. 2, Article ID 109501, 26 p. (2022; Zbl 1490.35328) Full Text: DOI arXiv
Morales Paredes, Jorge; Méndez, Félix Humberto Soriano On the Cauchy problems associated to a ZK-KP-type family equations with a transversal fractional dispersion. (English) Zbl 1492.35277 Discrete Contin. Dyn. Syst. 42, No. 5, 2257-5593 (2022). MSC: 35Q53 35Q35 35A01 35A02 26A33 35R11 35R25 PDFBibTeX XMLCite \textit{J. Morales Paredes} and \textit{F. H. S. Méndez}, Discrete Contin. Dyn. Syst. 42, No. 5, 2257--5593 (2022; Zbl 1492.35277) Full Text: DOI
Vanterler da Costa Sousa, J.; Kucche, Kishor D.; de Oliveira, E. Capelas Stability of mild solutions of the fractional nonlinear abstract Cauchy problem. (English) Zbl 1500.34054 Electron. Res. Arch. 30, No. 1, 272-288 (2022). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34G20 34A08 34A12 34D10 47N20 PDFBibTeX XMLCite \textit{J. Vanterler da Costa Sousa} et al., Electron. Res. Arch. 30, No. 1, 272--288 (2022; Zbl 1500.34054) Full Text: DOI arXiv
Zhang, Rong; Wang, Xiaoshan; Yang, ZuoDong Symmetry and nonexistence of positive solutions for an elliptic system involving the fractional Laplacian. (English) Zbl 1486.35453 Quaest. Math. 45, No. 2, 247-265 (2022). MSC: 35R11 35A10 35B06 35B07 35B09 35J47 35J61 PDFBibTeX XMLCite \textit{R. Zhang} et al., Quaest. Math. 45, No. 2, 247--265 (2022; Zbl 1486.35453) Full Text: DOI
Khan, Zareen A.; Shah, Kamal; Mahariq, Ibrahim; Alrabaiah, Hussam Study of fractional order delay Cauchy non-autonomous evolution problems via degree theory. (English) Zbl 1486.45013 Fractals 30, No. 1, Article ID 2240013, 12 p. (2022). MSC: 45J05 45M10 26A33 47H11 PDFBibTeX XMLCite \textit{Z. A. Khan} et al., Fractals 30, No. 1, Article ID 2240013, 12 p. (2022; Zbl 1486.45013) Full Text: DOI