[1]甘亦苗,侯成敏*.一类Hadamard型分数阶微分方程解的存在唯一性[J].延边大学学报(自然科学版),2021,47(02):95-100.
 GAN Yimiao,HOU Chengmin*.The existence and uniqueness of the solutions of a class of Hadamard type fractional differential equations[J].Journal of Yanbian University,2021,47(02):95-100.
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一类Hadamard型分数阶微分方程解的存在唯一性

参考文献/References:

[1] DU X, MENG Y, PANG H. Iterative positive solutions to a coupled Hadamard -type fractional differential system on infinite domain with the multistrip and multipoint mixed boundary conditions[J]. Journal of Function Spaces, 2020,2020:1-16.
[2] JlELI M, SAMET B. Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method[J]. Nonlinear Analysis Modelling & Control, 2015,20(3):367-376.
[3] WANG T, HAO Z. Existence and uniqueness of positive solutions for singular nonlinear fractional differential equation via mixed monotone operator method[J]. Journal of Function Spaces, 2020,2020(147):1-9.
[4] WANG H, ZHANG L. New unique existence criteria for higher -order nonlinear singular fractional differential equations[J]. Model Control, 2019,24(1):95-120.
[5] LV Z W. Existence of positive solution for fractional differential systems with multipoint boundary value conditions[J]. Journal of Function Spaces, 2020,2020(45):1-9.
[6] HUANG H, LIU W. Positive solutions for a class of nonlinear Hadamard fractional differential equations with aparameter[J]. Advances in Difference Equations, 2018,2018(96):1-13.
[7] MIN D, LIU L, WU Y. Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions[J]. Boundary Value Problems, 2018,2018(1):1-18.
[8] WANG F, LIU L, WU Y. Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed -type boundary value conditions[J]. Journal of Inequalities and Applications, 2019,2019(1):1-16.
[9] AFSHARI H, SAJJADMANESH M, BALEANU D. Existence and uniqueness of positive solutions for a new class of coupled system via fractional derivatives[J]. Advances in Difference Equations, 2020,2020(1):1-18.
[10] SHI L F, LI C F. Existence and uniqueness of solutions for Caputo -Hadamard type fractional differential equations[J]. Journal of Mathematics, 2019,39(4):493-503.

相似文献/References:

[1]郭彩霞,郭建敏,康淑瑰,等.带有分数阶边界条件的一类Caputo差分方程边值问题[J].延边大学学报(自然科学版),2013,39(03):188.
 GUO Caixia,GUO Jianmin,KANG Shugui,et al.On a Caputo fractional boundary value problem for fractional boundary conditions[J].Journal of Yanbian University,2013,39(02):188.
[2]吕洪鹏,侯成敏*.带有积分边界条件的p -Laplacian分数阶微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),2019,45(02):95.
 LYU Hongpeng,HOU Chengmin*.Existence of positive solutions for fractional differential equationinvolving integral boundary conditions with p -Laplacian operator[J].Journal of Yanbian University,2019,45(02):95.
[3]闫雅雯,侯成敏*,孙明哲.无穷区间上有序分数阶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),2019,45(03):189.
 YAN Yawen,HOU Chengmin*,SUN Mingzhe.Existence of positive solution for boundary value problems ofordered fractional q -differences equations on infinite intervals[J].Journal of Yanbian University,2019,45(02):189.

备注/Memo

收稿日期: 2020-12-21 基金项目: 吉林省教育厅“十三五”科学技术研究项目(JJKH20170454KJ)
*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: 2021-07-20