一类广义Bagley-Torvik型分数阶微分包含解的存在性  

Existence result for a class of generalized Bagley-Torvik type fractional differential inclusions

作　　者：李建利 陈丽珍[2] 李刚[3] LI Jianli;CHEN Lizhen;LI Gang(Department of Mathematics,Taiyuan University,Taiyuan 030032,China;School of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,China;School of Mathematical Science,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]太原学院数学系,太原030032 [2]山西财经大学应用数学学院,太原030006 [3]扬州大学数学科学学院,江苏扬州225002

出　　处：《扬州大学学报（自然科学版）》2020年第6期22-27,共6页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11871064).

摘　　要：运用非紧测度、分数阶微积分理论和Bohnenblust-Karlin不动点定理,研究一类带有非局部条件的广义Bagley-Torvik型分数阶微分包含解的存在性,所得结论丰富了Bagley-Torvik型方程的相关研究成果.By the methods of noncompact measure,fractional calculus theory and Bohnenblust-Karlin's fixed point theorem,the author proves the existence of solution fora class of generalized Bagley-Torvik type fractional differential inclusions with nonlocal initial conditions.The relevant conclusions extend the existencetheorems for the Bagley-Torvik type equation.

关 键 词：HAUSDORFF非紧测度 Bagley-Torvik型分数阶微分包含 Bohnenblust-Karlin不动点定理 

分 类 号：O175.8[理学—数学]