Liu, Xianghu; Li, Yanfang On the optimal controllability for a class of Katugampola fractional systems. (English) Zbl 07917603 J. Inequal. Appl. 2024, Paper No. 76, 14 p. (2024). MSC: 34A08 34H05 26A33 93B05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Palsaniya, Vandana; Mittal, Ekta; Joshi, Sunil; Suthar, D. L. Gronwall type inequality on generalized fractional conformable integral operators. (English) Zbl 07912324 Analysis, München 44, No. 3, 147-162 (2024). MSC: 34A08 26A33 47D09 × Cite Format Result Cite Review PDF Full Text: DOI
Tomar, Aditi; Tripathi, Lok Pati; Pani, Amiya K. Optimal error estimates of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs. (English) Zbl 07901900 Appl. Numer. Math. 205, 137-168 (2024). MSC: 65M60 65M12 65M15 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Long, Qinyi; Yang, Chunhua; Li, Zhi; Xu, Liping Ulam-Hyers-Rassias stability for stochastic differential equations driven by the time-changed Brownian motion. (English) Zbl 07899411 Syst. Control Lett. 191, Article ID 105856, 10 p. (2024). MSC: 93E15 93C15 93C27 60H10 34A37 × Cite Format Result Cite Review PDF Full Text: DOI
Serrai, Hacen; Tellab, Brahim; Etemad, Sina; Avcı, İbrahim; Rezapour, Shahram \(\varPsi\)-Bielecki-type norm inequalities for a generalized Sturm-Liouville-Langevin differential equation involving \(\varPsi\)-Caputo fractional derivative. (English) Zbl 07897007 Bound. Value Probl. 2024, Paper No. 81, 45 p. (2024). MSC: 26A33 34A08 34A12 34B15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Guo, Yingxin; Ge, Shuzhi Sam; Ma, Yue Exponential stability analysis in mean square for a class of stochastic delay differential equations. (English) Zbl 07893871 J. Appl. Math. Comput. 70, No. 3, 2507-2520 (2024). MSC: 34K20 34K13 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Cen, Zhongdi; Xu, Aimin A BDF2 method for a singularly perturbed transport equation. (English) Zbl 07889422 Int. J. Comput. Math. 101, No. 5, 538-548 (2024). MSC: 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Cen, Zhongdi; Huang, Jian; Xu, Aimin An integral discretization scheme on a graded mesh for a fractional differential equation with integral boundary conditions. (English) Zbl 07887317 J. Math. Chem. 62, No. 6, 1384-1398 (2024). MSC: 65L10 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qi; Xie, Chenxi; Deng, Qianqian; Hu, Yuting Stability results of neutral fractional functional differential equations with multi Caputo fractional derivatives. (English) Zbl 1539.34066 Discrete Contin. Dyn. Syst., Ser. S 17, No. 3, 1347-1365 (2024). MSC: 34H20 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ruonan Existence and uniqueness of random nonlocal differential equations with colored noise. (English) Zbl 1541.35063 Discrete Contin. Dyn. Syst., Ser. S 17, No. 3, 1146-1160 (2024). MSC: 35B40 35K05 35R60 37L30 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Bhat, Imtiyaz Ahmad; Mishra, Lakshmi Narayan A comparative study of discretization techniques for augmented Urysohn type nonlinear functional Volterra integral equations and their convergence analysis. (English) Zbl 07833996 Appl. Math. Comput. 470, Article ID 128555, 20 p. (2024). MSC: 65R20 45G10 65G99 × Cite Format Result Cite Review PDF Full Text: DOI
Geiss, Sarah Sharp convex generalizations of stochastic Gronwall inequalities. (English) Zbl 07825937 J. Differ. Equations 392, 74-127 (2024). MSC: 60H10 60G44 60G51 60J65 26D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 1535.34016 Physica D 457, Article ID 133951, 9 p. (2024). MSC: 34A08 26A33 26D15 65L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Wang, Li-Lian; Yan, Jingye; Zhang, Xiaolong Error analysis of a first-order IMEX scheme for the logarithmic Schrödinger equation. (English) Zbl 1531.65267 SIAM J. Numer. Anal. 62, No. 1, 119-137 (2024). MSC: 65N35 65N22 65F05 65N15 35J05 35B65 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Yongtao; Li, Cui; Stynes, Martin A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1531.65134 Numer. Algorithms 95, No. 2, 693-720 (2024). MSC: 65M06 35Q53 35R11 65L05 65L12 65L70 × Cite Format Result Cite Review PDF 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 1541.34020 Vietnam J. Math. 52, No. 1, 25-43 (2024). MSC: 34A08 26A33 34A12 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
da C. Sousa, J. Vanterler; Gomes, Diego F.; de Oliveira, E. Capelas A new class of mild and strong solutions of integro-differential equation of arbitrary order in Banach space. (English) Zbl 07920901 Palest. J. Math. 12, No. 1, 111-124 (2023). MSC: 13F10 13A15 13M05 20M99 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Patel, Rohit; Vijayakumar, V.; Nieto, Juan J.; Jadon, Shimpi Singh; Shukla, Anurag A note on the existence and optimal control for mixed Volterra-Fredholm-type integrodifferential dispersion system of third order. (English) Zbl 07889136 Asian J. Control 25, No. 3, 2113-2121 (2023). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhen A nonuniform \(\mathrm{L}2-1_\sigma\)/LDG method for the Caputo-Hadamard time-fractional convection-diffusion equation. (English) Zbl 1539.65125 Adv. Stud.: Euro-Tbil. Math. J. 16, No. 3, 89-115 (2023). MSC: 65M60 65M06 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chiu, Kuo-Shou Analyzing stability of equilibrium points in impulsive neural network models involving generalized piecewise alternately advanced and retarded argument. (English) Zbl 1537.92006 Tamkang J. Math. 54, No. 4, 379-404 (2023). MSC: 92B20 34A37 34K20 34K34 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Yewale, Bhagwat R.; Pachpatte, Deepak B. On the existence and stability analysis for \(\varPsi\)-Caputo fractional boundary value poblem. (English) Zbl 07827986 Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 251-262 (2023). MSC: 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Wanqiu; Li, Dongfang; Zhang, Chengjian Linearized transformed \(L1\) Galerkin FEMs with unconditional convergence for nonlinear time fractional Schrödinger equations. (English) Zbl 07814759 Numer. Math., Theory Methods Appl. 16, No. 2, 348-369 (2023). MSC: 65M12 65M60 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Junior, Jorge F.; Vanterler da C. Sousa, José; de Oliveira, E. Capelas The \(e\)-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator. (English) Zbl 07812182 Differ. Equ. Appl. 15, No. 2, 91-112 (2023). MSC: 34G20 34A08 34A12 47H08 34A47 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Shaoyu; Pan, Yifei A vector version of Gronwall’s inequality. (Chinese. English summary) Zbl 07802328 Chin. Ann. Math., Ser. A 44, No. 3, 303-314 (2023). MSC: 34D20 34A30 34A34 34A40 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Zhiguo; Zhou, Xiaomin; Chang, Gaizhen; Gao, Zhiwei Finite-time annular domain stability and stabilization of stochastic systems with semi-Markovian switching. (English) Zbl 07794468 IEEE Trans. Autom. Control 68, No. 10, 6247-6254 (2023). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Kicha, Abir; Damak, Hanen; Hammami, Mohamed Ali Practical \(h\)-stability behavior of time-varying nonlinear systems. (English) Zbl 07790592 Commentat. Math. Univ. Carol. 64, No. 2, 209-226 (2023). MSC: 34A30 34A34 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Patel, Rohit; Shukla, Anurag; Jadon, Shimpi Singh; Singh, Arun Kumar Analytic resolvent semilinear integro-differential systems: existence and optimal control. (English) Zbl 07788324 Math. Methods Appl. Sci. 46, No. 11, 11876-11885 (2023). MSC: 45-XX 49J21 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhi; Huang, Benchen; Zhao, Jiaxin; Xu, Liping Transportation inequalities for stochastic differential equations driven by the time-changed Brownian motion. (English) Zbl 1533.60112 J. Dyn. Control Syst. 29, No. 4, 1571-1583 (2023). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60H15 60G15 60H05 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Mchiri, Lassaad Ulam-Hyers stability of fractional Itô-Doob stochastic differential equations. (English) Zbl 1533.60095 Math. Methods Appl. Sci. 46, No. 13, 13731-13740 (2023). MSC: 60H10 34A08 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Ajeet; Shukla, Anurag Approximate controllability of the semilinear population dynamics system with diffusion. (English) Zbl 1530.92194 Math. Methods Appl. Sci. 46, No. 7, 8418-8429 (2023). MSC: 92D25 93B05 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yanqing; Wang, Yongfu; Ye, Yulin On the regularity criteria for the three-dimensional compressible Navier-Stokes system in Lorentz spaces. (English) Zbl 1535.76082 Math. Methods Appl. Sci. 46, No. 4, 4763-4774 (2023). Reviewer: Václav Mácha (Praha) MSC: 76N10 76N06 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Feifei; Lu, Jun-Guo Some remarks on the Gronwall integral inequality. (English) Zbl 1538.26078 Math. Methods Appl. Sci. 46, No. 2, 2997-3003 (2023). MSC: 26D15 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qiang; Liu, Lishan; Wu, Xu Existence and global asymptotic behavior of \(S\)-asymptotically periodic solutions for fractional evolution equation with delay. (English) Zbl 1535.34063 Nonlinear Anal., Model. Control 28, No. 5, 906-931 (2023). Reviewer: Xuping Zhang (Lanzhou) MSC: 34K30 34K37 34K13 34K38 34K25 × Cite Format Result Cite Review PDF Full Text: Link
Peng, Shanshan; Li, Meng; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua Convergence and superconvergence analysis for nonlinear delay reaction-diffusion system with nonconforming finite element. (English) Zbl 1531.65174 Numer. Methods Partial Differ. Equations 39, No. 1, 716-743 (2023). MSC: 65M60 65M06 65N30 65D05 65M12 65M15 35K57 35R07 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Hui; Jiang, Xiaoyun Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time-space fractional Schrödinger equation. (English) Zbl 1531.65132 Numer. Methods Partial Differ. Equations 39, No. 1, 657-677 (2023). MSC: 65M06 65N35 65T50 65M12 65M15 35Q55 35Q41 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Abdeljawad, Thabet; Shah, Kamal; Abdo, Mohammed S.; Jarad, Fahd An analytical study of fractional delay impulsive implicit systems with Mittag-Leffler law. (English) Zbl 07778980 Appl. Comput. Math. 22, No. 1, 31-44 (2023). MSC: 34K37 34K45 34K32 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Feichao; Li, Desheng A discrete Gronwall-Halanay-type inequality with infinite delay and its applications to difference equations. (English) Zbl 1532.26024 J. Inequal. Appl. 2023, Paper No. 78, 16 p. (2023). MSC: 26D15 39A30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Sudsutad, Weerawat; Thaiprayoon, Chatthai; Khaminsou, Bounmy; Alzabut, Jehad; Kongson, Jutarat A Gronwall inequality and its applications to the Cauchy-type problem under \(\psi\)-Hilfer proportional fractional operators. (English) Zbl 1532.26042 J. Inequal. Appl. 2023, Paper No. 20, 35 p. (2023). MSC: 26D15 26A33 34A08 44A15 47N20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Karthikeyan, Kulandhivel; Ege, Ozgur Boundary value problems of higher order fractional integro-differential equations involving Gronwall’s inequality in Banach spaces. (English) Zbl 07777163 Miskolc Math. Notes 24, No. 2, 805-818 (2023). MSC: 45-XX × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. (English) Zbl 07769130 Numer. Methods Partial Differ. Equations 39, No. 6, 4549-4574 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Giga, Mi-Ho; Giga, Yoshikazu A basic guide to uniqueness problems for evolutionary differential equations. (English) Zbl 1540.35001 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-031-34795-5/pbk; 978-3-031-34796-2/ebook). x, 155 p. (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35-01 35A02 35D40 35F21 35L03 35L65 35Q49 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Wanzheng; Fečkan, Michal; Wang, JinRong; Shen, Dong Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths. (English) Zbl 1537.93218 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1863-1884 (2023). MSC: 93B47 34A08 34A37 × Cite Format Result Cite Review PDF Full Text: DOI
Marin, Marin; Öchsner, Andreas; Vlase, Sorin A model of dual-phase-lag thermoelasticity for a Cosserat body. (English) Zbl 1517.74023 Contin. Mech. Thermodyn. 35, No. 1, 1-16 (2023). MSC: 74F05 × Cite Format Result Cite Review PDF Full Text: DOI
Selvan, A. Ponmana; Onitsuka, M. Ulam type stabilities of \(n\)-th order linear differential equations using Gronwall’s inequality. (English) Zbl 1522.34034 Result. Math. 78, No. 5, Paper No. 198, 19 p. (2023). MSC: 34A30 34D10 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhi; Xu, Liping; Yan, Litan McKean-Vlasov stochastic differential equations driven by the time-changed Brownian motion. (English) Zbl 1522.60052 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127336, 20 p. (2023). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H10 93E15 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Masur, Gökce Tuba; Mohamad, Haidar; Oliver, Marcel Quasi-convergence of an implementation of optimal balance by backward-forward nudging. (English) Zbl 1514.34092 Multiscale Model. Simul. 21, No. 2, 624-640 (2023). MSC: 34E13 34B15 37M21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hendy, Ahmed S.; Zaky, Mahmoud A.; Doha, Eid H. On a discrete fractional stochastic Grönwall inequality and its application in the numerical analysis of stochastic FDEs involving a martingale. (English) Zbl 07702451 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 531-537 (2023). MSC: 65C30 60G22 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Hui; Sun, Chengfeng; Xin, Jie Global well-posedness for the three-dimensional Navier-Stokes-Maxwell system with damping. (English) Zbl 1518.76065 Appl. Math. Lett. 141, Article ID 108622, 6 p. (2023). Reviewer: Panagiotis Koumantos (Athína) MSC: 76W05 76D05 35Q30 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Jun A map-type Gronwall inequality on functional differential equations with state-dependence. (English) Zbl 1520.34074 J. Math. Inequal. 17, No. 1, 113-126 (2023). Reviewer: Qingkai Kong (DeKalb) MSC: 34K43 26D15 34K12 × Cite Format Result Cite Review PDF Full Text: DOI
Samatov, B. T.; Akbarov, A. Kh. Linear differential game of pursuit under Grönwall type constraints. (English) Zbl 1524.49069 Uzb. Math. J. 67, No. 1, 111-119 (2023). MSC: 49N70 91A24 × Cite Format Result Cite Review PDF Full Text: DOI
Makasu, Cloud A note on the stochastic version of the Gronwall lemma. (English) Zbl 1524.60084 Stochastic Anal. Appl. 41, No. 3, 626-629 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60G44 60E15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Vijayakumar, V.; Malik, Muslim; Shukla, Anurag Results on the approximate controllability of Hilfer type fractional semilinear control systems. (English) Zbl 1512.93028 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 58, 15 p. (2023). MSC: 93B05 93C15 34A08 93B28 × Cite Format Result Cite Review PDF Full Text: DOI
Vanterler da C. Sousa, J.; Gala, Sadek; de Oliveira, E. Capelas On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in \(L^N(\mathbb{R}^N)^N\). (English) Zbl 1538.35263 Comput. Appl. Math. 42, No. 1, Paper No. 41, 11 p. (2023). MSC: 35Q30 26A33 34G25 34A12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Anbalagan, Pratap Delay-independent stability criteria for fractional order time delayed gene regulatory networks in terms of Mittag-Leffler function. (English) Zbl 07851670 Chin. J. Phys., Taipei 77, 845-860 (2022). MSC: 34K20 34K37 93D40 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Mali, Ashwini D.; Kucche, Kishor D.; Fernandez, Arran; Fahad, Hafiz Muhammad On tempered fractional calculus with respect to functions and the associated fractional differential equations. (English) Zbl 1534.26001 Math. Methods Appl. Sci. 45, No. 17, 11134-11157 (2022). MSC: 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lobo, Jervin Zen Error estimates in Picard’s method of successive approximations for a particular second order initial value problem. (English) Zbl 1538.34063 Jñānābha 52, No. 1, 94-100 (2022). MSC: 34A45 34A12 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Feichao; Li, Desheng; Zhang, Guang A discrete retarded Gronwall-Bellman type inequality and its applications to difference equations. (English) Zbl 1529.39015 Math. Methods Appl. Sci. 45, No. 16, 10457-10475 (2022). MSC: 39A30 39A10 39A12 39A22 × Cite Format Result Cite Review PDF Full Text: DOI
Asma; Gómez-Aguilar, José Francisco; ur Rahman, Ghaus; Javed, Maryam Stability analysis for fractional order implicit \(\psi\)-Hilfer differential equations. (English) Zbl 1527.34011 Math. Methods Appl. Sci. 45, No. 5, 2701-2712 (2022). MSC: 34A08 34B15 34B27 × Cite Format Result Cite Review PDF Full Text: DOI
Arhrrabi, Elhoussain; Elomari, M’hamed; Melliani, Said Averaging principle for fuzzy stochastic differential equations. (English) Zbl 1538.34161 Contrib. Math. 5, 25-29 (2022). MSC: 34C29 34A07 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Feifei; Lu, Jun-Guo Finite-time stability of fractional-order fuzzy cellular neural networks with time delays. (English) Zbl 1522.93156 Fuzzy Sets Syst. 438, 107-120 (2022). MSC: 93D40 93A14 93C42 93C43 × Cite Format Result Cite Review PDF Full Text: DOI
Maazouz, Kadda; Rodríguez-López, Rosana Differential equations of arbitrary order under Caputo-Fabrizio derivative: some existence results and study of stability. (English) Zbl 1517.34007 Math. Biosci. Eng. 19, No. 6, 6234-6251 (2022). Reviewer: Hira Waheed (Peshawar) MSC: 34A08 34A09 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chiu, Kuo-Shou Existence and global exponential stability of periodic solution for Cohen-Grossberg neural networks model with piecewise constant argument. (English) Zbl 1513.92001 Hacet. J. Math. Stat. 51, No. 5, 1219-1236 (2022). MSC: 92B20 34K13 34K20 × Cite Format Result Cite Review PDF Full Text: DOI
Ravichandran, C.; Sowbakiya, V.; Nisar, Kottakkaran Sooppy Study on existence and data dependence results for fractional order differential equations. (English) Zbl 1504.45008 Chaos Solitons Fractals 160, Article ID 112232, 8 p. (2022). MSC: 45J05 34A08 34K37 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Hui; Zeng, Fanhai; Jiang, Xiaoyun; Karniadakis, George Em Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations. (English) Zbl 1503.65194 Fract. Calc. Appl. Anal. 25, No. 2, 453-487 (2022). MSC: 65M06 35R11 65M15 65M12 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fečkan, Michal; Pospíšil, Michal; Danca, Marius-F.; Wang, JinRong Caputo delta weakly fractional difference equations. (English) Zbl 1503.39004 Fract. Calc. Appl. Anal. 25, No. 6, 2222-2240 (2022). MSC: 39A13 26A33 26D20 33E12 × Cite Format Result Cite Review PDF Full Text: DOI
Chiu, Kuo-Shou Yakubovich’s theorem for impulsive differential equations with piecewise constant argument of generalized type. (English) Zbl 1513.34316 Miskolc Math. Notes 23, No. 2, 579-594 (2022). MSC: 34K45 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Bohner, Martin; Tikare, Sanket Ulam stability for first-order nonlinear dynamic equations. (English) Zbl 1513.34370 Sarajevo J. Math. 18(31), No. 1, 83-96 (2022). MSC: 34N05 34D10 26E70 × Cite Format Result Cite Review PDF Full Text: DOI
Elhadi, Smakdji Mohamed; Mouhamed, Denche; Hassane, Khellaf Estimation for bounded solutions of some nonlinear integral inequalities with delay in several variables. (English) Zbl 1513.26027 Aust. J. Math. Anal. Appl. 19, No. 2, Article No. 10, 19 p. (2022). MSC: 26D10 26D15 45D05 × Cite Format Result Cite Review PDF Full Text: Link
Butt, Rabia Ilyas; Ur Rehman, Mujeeb Ulam’s type stability analysis of fractional difference equation with impulse: Gronwall inequality approach. (English) Zbl 1501.39005 Turk. J. Math. 46, No. 7, 2927-2941 (2022). MSC: 39A30 39A13 26A33 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Caraballo, Tomás; Mchiri, Lassaad; Rhaima, Mohamed Ulam-Hyers-Rassias stability of neutral stochastic functional differential equations. (English) Zbl 1498.60204 Stochastics 94, No. 6, 959-971 (2022). MSC: 60H10 34F05 37H30 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Samatov, Bakhrom Tadzhiakhmatovich; Akbarov, Adakhambek Khasanbaevich; Zhuraev, Bakhodir Inomzhon Pursuit-evasion differential games with gr-constraints on controls. (English) Zbl 1498.49069 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 59, 67-84 (2022). MSC: 49N75 49N70 91A24 × Cite Format Result Cite Review PDF Full Text: DOI MNR
La-inchua, Teerapong; Yotha, Narongsak Finite-time stability of a class of uncertain switched nonlinear systems with time-varying delay. (English) Zbl 1510.34179 Thai J. Math. 20, No. 2, 747-757 (2022). MSC: 34K39 34K20 93D40 × Cite Format Result Cite Review PDF Full Text: Link
Berger, D.; Kühn, F.; Schilling, R. L. Lévy processes, generalized moments and uniform integrability. (English) Zbl 1520.60027 Probab. Math. Stat. 42, No. 1, 109-131 (2022). Reviewer: Jean-Jil Duchamps (Besançon) MSC: 60G51 60G44 60G40 26A12 26B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vanterler da C. Sousa, J.; Abdeljawad, Thabet; Oliveira, D. S. Mild and classical solutions for fractional evolution differential equation. (English) Zbl 1514.34131 Palest. J. Math. 11, No. 2, 229-242 (2022). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34K30 34K37 34K05 47N20 34K10 26D15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Anastassiou, George A. A variety of Gronwall inequalities of fractional variable order. (English) Zbl 1507.26010 J. Appl. Nonlinear Dyn. 11, No. 4, 915-927 (2022). MSC: 26A33 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Shukla, Anurag; Vijayakumar, V.; Nisar, Kottakkaran Sooppy A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\). (English) Zbl 1498.34044 Chaos Solitons Fractals 154, Article ID 111615, 8 p. (2022). MSC: 34A08 34A37 34G20 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Bohner, Martin; Scindia, Pallavi S.; Tikare, Sanket Qualitative results for nonlinear integro-dynamic equations via integral inequalities. (English) Zbl 1500.45004 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 106, 29 p. (2022). Reviewer: Eze Raymond Nwaeze (Montgomery) MSC: 45J05 26E70 26D10 26D15 45M10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yuxiang; Zeng, Fanhai; Guo, Ling Error estimate of the fast L1 method for time-fractional subdiffusion equations. (English) Zbl 1524.65350 Appl. Math. Lett. 133, Article ID 108288, 8 p. (2022). MSC: 65M06 35R11 65M12 26A33 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Guotao; El-Deeb, Ahmed A.; El-Sennary, H. A. New retarded dynamic inequalities on time scales with applications. (English) Zbl 1503.26096 J. Math. Inequal. 16, No. 2, 561-574 (2022). MSC: 26E70 26D10 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun Conforming and nonconforming VEMs for the fourth-order reaction-subdiffusion equation: a unified framework. (English) Zbl 1502.65130 IMA J. Numer. Anal. 42, No. 3, 2238-2300 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Ben Makhlouf, Abdellatif; Arfaoui, Hassen; Boulaaras, Salah; Dhahri, Slim Finite time stability of 2D fractional hyperbolic system with time delay. (English) Zbl 1495.35027 J. Funct. Spaces 2022, Article ID 6125463, 8 p. (2022). MSC: 35B40 35R11 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Rezapour, Shahram; Ahmad, Bashir; Boutiara, Abdellatif; Nonlaopon, Kamsing; Etemad, Sina Existence and stability results for non-hybrid single-valued and fully hybrid multi-valued problems with multipoint-multistrip conditions. (English) Zbl 1506.34032 J. Inequal. Appl. 2022, Paper No. 82, 35 p. (2022). MSC: 34A38 34A08 34B10 28A33 × Cite Format Result Cite Review PDF Full Text: DOI OA License
El-Deeb, Ahmed A.; Baleanu, Dumitru Some new dynamic Gronwall-Bellman-Pachpatte type inequalities with delay on time scales and certain applications. (English) Zbl 1506.26027 J. Inequal. Appl. 2022, Paper No. 45, 19 p. (2022). MSC: 26D15 26D10 26E70 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Sutar, Sagar T.; Kucche, Kishor D. Existence and data dependence results for fractional differential equations involving Atangana-Baleanu derivative. (English) Zbl 1537.34018 Rend. Circ. Mat. Palermo (2) 71, No. 2, 647-663 (2022). MSC: 34A08 26A33 34A12 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Cen, Da-kang; Wang, Zhi-bo; Mo, Yan A compact difference scheme on graded meshes for the nonlinear fractional integro-differential equation with non-smooth solutions. (English) Zbl 1492.65232 Acta Math. Appl. Sin., Engl. Ser. 38, No. 3, 601-613 (2022). MSC: 65M06 65N06 65K10 65M12 65M15 35R09 45K05 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Ramezani, Mohadese; Mokhtari, Reza; Haase, Gundolf Analysis of stability and convergence for L-type formulas combined with a spatial finite element method for solving subdiffusion problems. (English) Zbl 1490.65207 ETNA, Electron. Trans. Numer. Anal. 55, 568-584 (2022). MSC: 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhong, Xin \(L^\infty\) continuation principle to the compressible non-isothermal nematic liquid crystal flows with zero heat conduction and vacuum. (English) Zbl 1494.76006 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 174, 20 p. (2022). MSC: 76A15 76N10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Derbazi, Choukri; Baitiche, Zidane Uniqueness and Ulam-Hyers-Mittag-Leffler stability results for the delayed fractional multiterm differential equation involving the \(\Phi\)-Caputo fractional derivative. (English) Zbl 1507.34088 Rocky Mt. J. Math. 52, No. 3, 887-897 (2022). MSC: 34K37 34L05 34K27 47N20 44A10 33E12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shah, Syed Omar; Khan, Zubair Stability in terms of Hyers-Ulam of non-linear Volterra Fredholm integro-delay dynamic system on time scales with fractional integrable impulses. (English) Zbl 1489.45009 Appl. Anal. Optim. 6, No. 1, 109-122 (2022). MSC: 45J05 34N05 34D20 34A37 45M10 × Cite Format Result Cite Review PDF Full Text: Link
Li, Dongfang; She, Mianfu; Sun, Hai-wei; Yan, Xiaoqiang A novel discrete fractional Grönwall-type inequality and its application in pointwise-in-time error estimates. (English) Zbl 1491.65112 J. Sci. Comput. 91, No. 1, Paper No. 27, 26 p. (2022). MSC: 65M70 65M06 65N35 65M12 65M15 35B65 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guowei Positive solutions to three classes of non-local fourth-order problems with derivative-dependent nonlinearities. (English) Zbl 1499.34197 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 11, 27 p. (2022). MSC: 34B18 34B10 34B15 47N20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Shah, Syed Omar; Zada, Akbar Hyers-Ulam stability of non-linear Volterra integro-delay dynamic system with fractional integrable impulses on time scales. (English) Zbl 1487.34172 Iran. J. Math. Sci. Inform. 17, No. 1, 85-97 (2022). MSC: 34N05 34G20 34A37 35B35 45J05 × Cite Format Result Cite Review PDF Full Text: Link
Basu, R. An iterative scheme for the oscillation criteria of a nonlinear delay differential equation with several deviating arguments. (English) Zbl 1487.34122 Asian-Eur. J. Math. 15, No. 4, Article ID 2250071, 10 p. (2022). MSC: 34K11 × Cite Format Result Cite Review PDF Full Text: DOI
Patel, Rohit; Shukla, Anurag; Nieto, Juan J.; Vijayakumar, Velusamy; Jadon, Shimpi Singh New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces. (English) Zbl 1492.49046 Nonlinear Anal., Model. Control 27, No. 3, 496-512 (2022). MSC: 49S05 49J27 92D25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Zhang, Li; Huang, Jin; Li, Hu Splitting extrapolation algorithms for solving linear delay Volterra integral equations with a spatial variable. (English) Zbl 1502.65284 Appl. Numer. Math. 178, 372-385 (2022). MSC: 65R20 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Young-Ho Gronwall-type moment inequalities for a stochastic process. (English) Zbl 1492.60048 J. Math. Inequal. 16, No. 1, 51-61 (2022). MSC: 60E15 60G07 60H05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Jie; Yao, Xing; Wang, Wansheng Two-grid finite element methods for nonlinear time-fractional parabolic equations. (English) Zbl 07525417 Numer. Algorithms 90, No. 2, 709-730 (2022). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Chiu, Kuo-Shou Periodic solutions of impulsive differential equations with piecewise alternately advanced and retarded argument of generalized type. (English) Zbl 1500.34057 Rocky Mt. J. Math. 52, No. 1, 87-103 (2022). Reviewer: Leonid Berezanski (Be’er Sheva) MSC: 34K13 34K45 26D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI Link