JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (4): 76-84.doi: 10.6040/j.issn.1671-9352.0.2021.414
Previous Articles Next Articles
REN Qian, YANG He*
CLC Number:
| [1] HILFER R. Applications of fractional calculus in physics[M]. Singapore: World Scientific, 2000. [2] KILBAS A A, SRIVASTAVA H M, TRUJILLO J J. Theory and applications of fractional differential equations[M]. Amsterdam: Elsevier, 2006. [3] DU Maolin, WANG Zaihua. Initialized fractional differential equations with Riemann-Liouville fractional-order derivative[J]. The European Physical Journal Special Topics, 2011, 193(1):49-60. [4] ZHOU Yong, ZHANG Lu, SHEN Xiaohui. Existence of mild solutions for fractional evolution equations[J]. Journal of Integral Equations and Applications, 2013, 4(25):557-585. [5] LAKSHMIKANTHAM V, VATSALA S A. Basic theory of fractional differential equations[J]. Nonlinear Analysis, 2008, 69(8):2677-2682. [6] AGARWAL P R, LAKSHMIKANTHAM V, NIETO J J. On the concept of solution for fractional differential equations with uncertainty[J]. Nonlinear Analysis, 2010, 72(6):2859-2862. [7] YANG Min, WANG Qiru. Approximate controllability of Riemann-Liouville fractional differential inclusions[J]. Applied Mathematics and Computation, 2016, 274:267-281. [8] LIANG Jin, YANG He. Controllability of fractional integro-differential evolution equations with nonlocal condition[J]. Applied Mathematics and Computation, 2015, 254:20-29. [9] BANAS J. On measures of noncompactness in Banach spaces[J]. Commentationes Mathematicae Universitatis Carolinae, 1980, 21(1):131-143. [10] HEINZ P H. On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions[J]. Nonlinear Analysis, 1983, 7(12):1351-1371. [11] ALSARORI A N, GHADLE P K. On the mild solution for nonlocal impulsive fractional semilinear differential inclusion in Banach spaces[J]. Journal of Mathematical Modeling, 2018, 6(2):239-258. [12] KAMENSKII M, OBUKHOVSKII V, ZECCA P. Condensing multivalued maps and semilinear differential inclusions in Banach spaces[M]. Berlin: Walter de Gruyter and Co, 2001. [13] AGARWAL P R, MEEHAN M, OREGAN D. Fixed point theory and applications[M]. Cambridge: Cambridge University Press, 2001. [14] ALSARORI A N, GHADLE P K. Nonlocal fractional differential inclusions with impulse effects and delay[J]. Journal of the Korean Society for Industrial and Applied Mathematics, 2020, 24(2):229-242. |
| [1] | ZHU Qiaoling, SHI Zhenxia. Existence of forced waves for a predator-prey system in a discrete shifting habitat [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(8): 135-142. |
| [2] | WANG Liyuan, MA Ruyun. Existence of positive solutions of a second-order Neumann boundary value problem with derivative term [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(5): 50-55. |
| [3] | MA Tiantian, LI Shanbing. Coexistence solutions of a predator-prey model with Allee effect and density-dependent diffusion in the predator [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(4): 84-92. |
| [4] | XI Xia, LI Yongxiang. Periodic solutions of a second-order delay ordinary differential equation with derivative term [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(12): 103-109. |
| [5] | CHEN Xiao, ZHOU Wenxue, HOU Zerong. A class of three-point boundary value problems for implicit impulsive fractional differential equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(12): 121-129. |
| [6] | Fangfang HU,Weimin HU,Yong ZHANG. Existence and uniqueness of positive solutions of integral boundary value problems for a class of fractional differential equations with Hadamard derivatives [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(4): 53-61. |
| [7] | Zhongbo CAI,Jihong ZHAO. Global existence of large solutions for a class of chemotaxis-fluid model [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(6): 84-91. |
| [8] | SHI Xuan-rong. Existence of positive solutions for a class of second order semipositone problems [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(4): 89-96. |
| [9] | ZHANG Ji-feng, ZHANG Wei, WEI Hui, NI Jin-bo. Existence and uniqueness of solutions for fractional Langevin type equations with dual anti-periodic boundary conditions involving p-Laplace operator [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(9): 91-100. |
| [10] | DUAN Dui-hua, GAO Cheng-hua, WANG Jing-jing. Existence and nonexistence of blow-up solutions for a general k-Hessian equation [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(3): 62-67. |
| [11] | OUYANG Bai-ping, XIAO Sheng-zhong. Global nonexistence of solutions to a class of semilinear double-wave equations with space-dependent coefficients on the nonlinearity [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(9): 59-65. |
| [12] | YUAN Tian-jiao, LI Qiang. Existence of IS-asymptotically periodic mild solutions for a class of impulsive evolution equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(6): 10-21. |
| [13] | WU Ruo-fei. Existence of solutions for singular fourth-order m-point boundary value problems [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(2): 75-83. |
| [14] | ZHANG Rui-yan. Existence, nonexistence and multiplicity of positive solutions for a class of nonlinear third order three point boundary value problems [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(12): 52-58. |
| [15] | WANG Tian-xiang, LI Yong-xiang. Existence and uniqueness of solutions for a class fourth-order periodic boundary value problems [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(7): 16-21. |
|
||
