数学与计算机科学 |
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一类分数阶非线性微分包含初值问题的可解性 |
杨小娟, 韩晓玲 |
西北师范大学 数学与统计学院, 甘肃 兰州, 730070 |
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The solvability of Cauchy problem for nonlinear fractional differential inclusions |
YANG Xiaojuan, HAN Xiaoling |
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
[1] ABBASBANDY S, NIETO J J, ALAVI M. Tuning of reachable set in one dimensional fuzzy differential inclusions[J]. Chaos Solitons Fractals,2005,26:1337-1341. [2] BENCHONRA M, NTOUYAS S K. On first order differential inclusions with periodic boundary conditions[J]. Math Inequal Appl,2005,8(1):71-78. [3] LAKSHMIKANTHAM V, VATSALA A S. Basic theory of fractional differential equations[J]. Nonlinear Analysis,2008,69(18):2677-2682. [4] HENDERSON J, OUAHAB A. Fractional functional differential inclusions with finite delay[J]. Nonlinear Analysis,2009,70(5):2091-2105. [5] BENCHOHRA M, HENDERSON J, NTOUYAS S K, et al. Existence results for fractional functional differential inclusions with infinite delay and application to control theory[J]. Fractional Calculus and Applied Analysis,2008,11(1):35-36. [6] CHENG Y, ZHU G, MARICHEV O I. Existence of solutions to fractional differential equations[J]. Bull Math Anal Appl,2015,310(1):26-29. [7] KHALIL R, AI HORANI M, YOUSEF A, et al. A new definition of fractional derivative[J]. J Comput Appl Math,2014,264:65-70. [8] CHANG Y K, NIETO J J. Some new existence results for fractional differential inclusions with boundary conditions[J]. Math Comput Modelling,2009,49:605-609. [9] SAMKO S G, KIBAS A A,MARICHEV O I. Fractional Integrals and Derivatives:Theory and Applications[M]. Yverdon: Gordon and Breach Science Publisher,1993. [10] BOHNENBLUST H F, KARLIN S. On a Theorem of Ville, Contributions to Theory of Games[M]. Princeton: Princeton University Press,1950(1):155-160. [11] CHUNG W S. Fractional Newton mechanics with conformable fractional derivative[J]. J Comput Appl Math,2015,290:150-158. [12] LASOTA A, OPIAL Z. An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations[J]. Bull Acad Pol Sci Ser Sci Math Astronom Phys,1965(13):781-786. [13] CHANG Y K, LI W T, NIETO J J. Controllability of evolution differential inclusions in Banach spaces[J]. Nonlinear Anal TMA,2007,67:623-632. [14] KATUGAMPOLA U N. A new fractional derivative with classical properties[J/OL].Journal of the American Mathematical Society. [2015-03-19].http://www.researchgate.net/publication/267395593. [15] FENG Y Q, TONG P. Existence and nonexistence of positive periodic solutions to a differential inclusion[J]. Topological Methods in Nonlinear Analysis,2013,42:449-459. [16] BAYOUR B, TORRES D F M. Existence of solution to a local fractional nonlinear differential equation[J]. J Comput Appl Math,2016,312:127-133. |
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