Chen, Pengyu; Feng, Wei Fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear terms. (English) Zbl 1541.34076 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 69, 26 p. (2024). Reviewer: Hristo S. Kiskinov (Plovdiv) MSC: 34G20 34A08 34B10 47D06 47H11 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Zhang, Xuping Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions. (English) Zbl 1471.34119 Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 4681-4695 (2021). MSC: 34G20 37C60 34B10 34F05 60H15 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Zhang, Xuping; Li, Yongxiang Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators. (English) Zbl 1441.34006 Fract. Calc. Appl. Anal. 23, No. 1, 268-291 (2020). MSC: 34A08 34G20 34H05 93B05 34B10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Zhang, Xuping; Li, Yongxiang Approximate controllability of non-autonomous evolution system with nonlocal conditions. (English) Zbl 1439.34065 J. Dyn. Control Syst. 26, No. 1, 1-16 (2020). MSC: 34G20 37C60 34B10 93B05 34H05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xuping; Chen, Pengyu; Abdelmonem, Ahmed; Li, Yongxiang Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups. (English) Zbl 1496.60074 Math. Slovaca 69, No. 1, 111-124 (2019). MSC: 60H15 34F05 35R60 47J35 × Cite Format Result Cite Review PDF Full Text: DOI
An, Jiahui; Gao, Yabing; Chen, Pengyu Existence of solutions for fully second-order boundary value problem with nonlocal integral condition. (Chinese. English summary) Zbl 1424.34077 J. Nanchang Univ., Nat. Sci. 42, No. 2, 108-114 (2018). MSC: 34B10 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Gao, Yabing Positive solutions for a class of nonlinear fractional differential equations with nonlocal boundary value conditions. (English) Zbl 1397.34019 Positivity 22, No. 3, 761-772 (2018). MSC: 34A08 34B18 34G20 47N20 34B10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Kong, Yibo; Li, Yongxiang Asymptotic stability of strong solutions for evolution equations with nonlocal initial conditions. (English) Zbl 1394.35258 Bull. Korean Math. Soc. 55, No. 1, 319-330 (2018). MSC: 35K90 35D35 47D06 47J35 × Cite Format Result Cite Review PDF Full Text: Link
Chen, Pengyu; Zhang, Xuping; Li, Yongxiang Regularity for evolution equations with nonlocal initial conditions. (English) Zbl 1458.35243 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 2, 539-553 (2018). MSC: 35K90 35D35 47H20 47J35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Zhang, Xuping; Li, Yongxiang Approximation technique for fractional evolution equations with nonlocal integral conditions. (English) Zbl 1387.35604 Mediterr. J. Math. 14, No. 6, Paper No. 226, 16 p. (2017). MSC: 35R11 47D06 47J35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Abdelmonem, Ahmed; Li, Yongxiang Global existence and asymptotic stability of mild solutions for stochastic evolution equations with nonlocal initial conditions. (English) Zbl 1371.34086 J. Integral Equations Appl. 29, No. 2, 325-348 (2017). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 34F05 47J35 60H15 34G20 34B10 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Gao, Yabing; Chen, Pengyu Existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition. (English) Zbl 1419.34021 Adv. Difference Equ. 2016, Paper No. 314, 9 p. (2016). MSC: 34A08 26A33 34B10 34B15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Pengyu; Zhang, Xuping; Li, Yongxiang Nonlocal problem for fractional stochastic evolution equations with solution operators. (English) Zbl 1353.35303 Fract. Calc. Appl. Anal. 19, No. 6, 1507-1526 (2016). MSC: 35R11 47J35 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xuping; Chen, Pengyu Fractional evolution equation nonlocal problems with noncompact semigroups. (English) Zbl 1335.34024 Opusc. Math. 36, No. 1, 123-137 (2016). Reviewer: Samir Bashir Hadid (Ajman) MSC: 34A08 34G20 34B10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Zhang, Xuping; Li, Yongxiang Existence of mild solutions for the nonlocal problem of evolution equations with noncompact semigroups. (Chinese. English summary) Zbl 1340.34210 Acta Anal. Funct. Appl. 17, No. 2, 139-151 (2015). MSC: 34G20 47H08 47H10 × Cite Format Result Cite Review PDF
Chen, Pengyu; Li, Yongxiang; Zhang, Xuping Existence and uniqueness of positive mild solutions for nonlocal evolution equations. (English) Zbl 1347.34097 Positivity 19, No. 4, 927-939 (2015). Reviewer: Hui-Sheng Ding (Jiangxi) MSC: 34G20 34B10 47D06 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Li, Yongxiang Nonlocal Cauchy problem for fractional stochastic evolution equations in Hilbert spaces. (English) Zbl 1333.35320 Collect. Math. 66, No. 1, 63-76 (2015). MSC: 35R11 47J35 60H15 35R09 35R60 35R15 × Cite Format Result Cite Review PDF Full Text: DOI
Dun, Tiaoxia; Chen, Pengyu Existence of positive solutions for nonlinear third-order boundary value problem. (English) Zbl 1489.34040 J. Math. 2014, Article ID 951947, 5 p. (2014). MSC: 34B18 34B10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Pengyu; Li, Yongxiang Existence and uniqueness of strong solutions for nonlocal evolution equations. (English) Zbl 1292.34058 Electron. J. Differ. Equ. 2014, Paper No. 18, 9 p. (2014). MSC: 34G20 34B10 47N20 47D06 × Cite Format Result Cite Review PDF Full Text: EMIS
Chen, Pengyu; Li, Yongxiang; Li, Qiang Existence of mild solutions for fractional evolution equations with nonlocal initial conditions. (English) Zbl 1293.34009 Ann. Pol. Math. 110, No. 1, 13-24 (2014). Reviewer: Zhenlai Han (Jinan) MSC: 34A08 34G20 34B10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Pengyu; Li, Yongxiang Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions. (English) Zbl 1279.34072 Result. Math. 63, No. 3-4, 731-744 (2013). Reviewer: Hui-Sheng Ding (Jiangxi) MSC: 34G20 34A45 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Li, Yongxiang; Yang, He Perturbation method for nonlocal impulsive evolution equations. (English) Zbl 1257.93034 Nonlinear Anal., Hybrid Syst. 8, 22-30 (2013). MSC: 93B40 93C73 93C25 93C15 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pengyu; Li, Yongxiang; Fan, Hongxia Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. (English) Zbl 1294.34062 Adv. Difference Equ. 2012, Paper No. 79, 9 p. (2012). MSC: 34G20 47D06 34B10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI OA License