JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (12): 72-80.doi: 10.6040/j.issn.1671-9352.0.2017.312
Previous Articles Next Articles
ZHANG Di, LIU Wen-bin*
CLC Number:
| [1] ZHANG Xingqiu, ZHONG Qiuyan. Multiple positive solutions for nonlocal boundary value problems of singular fractional differential equations[J]. Boundary Value Problems, 2016, 2016(1):1-11. [2] JIA Mei, ZHANG Haibin, CHEN Qiang. Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line[J]. Boundary Value Problems, 2016, 2016(1):1-16. [3] JIA Mei, LIU Xiping. Multiplicity of solutions for integral boundary value problems of fractional differential equations with upper and lower solutions[J]. Applied Mathematics and Computation, 2014, 232:313-323. [4] 郑春华,刘文斌.一类具有时滞的分数阶微分方程边值问题正解的存在性[J]. 山东大学学报(理学版),2015, 50(3):73-79. ZHEN Chunhua, LIU Wenbin. Existence of positive solutions of the boundary value problem for a class of fractional differential equations w ith delay[J]. Journal of Shandong University(Natural Science), 2015, 50(3):73-79. [5] XIE Wenzhe, XIAO Jing, LUO Zhiguo. Existence of extremal solutions for nonlinear fractional differential equation with nonlinear boundary conditions[J]. Applied Mathematics Letters, 2015, 41:46-51. [6] NTOUYA S K, ETEMAD S. On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions[J]. Applied Mathematics and Computation, 2015, 266:235-243. [7] LÜ Zhiwei. Existence results for m-point boundary value problems of nonlinear fractional differential equations with p-Laplacian operator[J]. Advances in Difference Equations, 2014, 2014(1):1-16. [8] LIU Xiping, JIA Mei, GE Weigao. Multiple solutions of a p-Laplacian model involving a fractional derivative[J]. Advances in Difference Equations, 2013, 2013(1):126. [9] SUN Bo, GE Weigao. Existence and iteration of positive solutions to a class of Sturm-Liouville-like p-Laplacian boundary value problems[J]. Nonlinear Analysis: Theory, Methods & Applications, 2008, 69(4):1454-1461. [10] CHEN Taiyong, LIU Wenbin, HU Zhigang. A boundary value problem for fractional differential equation with p-Laplacian operator at resonance[J]. Nonlinear Analysis: Theory, Methods & Applications, 2012, 75(6):3210-3217. [11] CHEN Taiyong, LIU Wenbin. An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator[J]. Applied Mathematics Letters, 2012, 25:1671-1675. [12] CHEN Yunmei, LEVINE S, RAO M. Variable exponent, linear growth functionals in image restoration[J]. SIAM journal on Applied Mathematics, 2006, 66(4):1383-1406. [13] SZYMANEK E. The application of fractional order differential calculus for the description of temperature profiles in a granular layer[M]. Switzerland: Springer, 2013: 243-248. [14] SHEN Tengfei, LIU Wenbin. Existence of solutions for fractional integral boundary value problems with p(t)-Laplacian operator[J]. Journal of Nonlinear Science and Applications, 2016, 9(2016):5000-5010. [15] ZHANG Qihu, WANG Yan, QIU Zhimei. Existence of solutions and boundary asymptotic behavior of p(r)-Laplacian equation multi-point boundary value problems[J]. Nonlinear Analysis: Theory, Methods & Applications, 2010, 72(6):2950-2973. [16] FAN Xianling, ZHANG Qihu, ZHAO Dun. Eigenvalues of p(x)-Laplacian Dirichlet problem[J]. Journal of Mathematical Analysis and Applications, 2005, 302(2):306-317. [17] PODLUBNY I. Fractional differential equations [M]. San Diego: Academic Press,1999. [18] MAWHIN J. Topological degree and boundary value problems for nonlinear differential equations[M]. Berlin: Springer, 1993: 74-142. |
|
||
