[1]甘亦苗,侯成敏*.一类Hilfer型分数阶微分方程解的存在和唯一性[J].延边大学学报(自然科学版),2020,(2):95-100.
 GAN Yimiao,HOU Chengmin*.The existence and uniqueness of the solutions of a class ofHilfer fractional differential equations[J].Journal of Yanbian University,2020,(2):95-100.
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一类Hilfer型分数阶微分方程解的存在和唯一性

参考文献/References:

[1] PODLUBNY I. Fractional Differential Equations[M]. San Diego: Academic Press, 1999:117-121.
[2] FURATI K M, KASSIM M D. Existence and uniqueness for a problem involving Hilfer fractional derivative[J]. Computers and Mathematics at with Applications, 2012,64(6):1616-1626.
[3] ANAJALI J, BAHUGUNA D. Existence and regularity of solutions of fractional differential equations involving Hilfer fractional derivative of order 1<α<2 and type 0≤β≤1[OL].[2019-07-26].https://arxiv.org/.
[4] HILFER R. Applications of Fractional Calculus in Physics[M]. Singapore: World Scientific, 2000:429-437.
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[7] ZHU B, LIU L. Local and global existence of mild solutions for a class of semilinear fractional integro -differential equations[J]. Frat Calc Appl Anal, 2017,20(6):1338-1353.
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[9] LIN L G, LIU X P, FANG H Q. Method of upper and lower solutions for fractional differential equations[J]. Electronic Journal of Differential Equations, 2012,2012(100):1-13.
[10] ABBAS S, BENCHOHRA M, ZHOU Y. Couple Hilfer fractional differential systems with random effects[J]. Advances in Difference Equations, 2018,2018:369-380.

相似文献/References:

[1]苏巍,刘畅,李丹,等.一类分数阶q -差分方程边值问题正解的存在性[J].延边大学学报(自然科学版),2015,41(02):103.
 SU Wei,LIU Chang,LI Dan,et al.Existence of positive solutions for a class of the boundary value problems of fractional q-difference equations[J].Journal of Yanbian University,2015,41(2):103.

备注/Memo

收稿日期: 2020-04-15
*通信作者: 侯成敏(1963—),女,教授,研究方向为微分理论及其应用.

更新日期/Last Update: 2020-08-18