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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
【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.
【Abstract】 By the methods of noncompact measure,fractional calculus theory and BohnenblustKarlins fixed point theorem,the author proves the existence of solution for a class of generalized Bagley-Torvik type fractional differential inclusions with nonlocal initial conditions.The relevant conclusions extend the existence theorems 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;
【Key words】 noncompactness measure of Hausdorff; Bagley-Torvik type fractional differential inclusions; Bohnenblust-Karlin’s fixed point theorem;
【Key words】 noncompactness measure of Hausdorff; Bagley-Torvik type fractional differential inclusions; Bohnenblust-Karlin’s fixed point theorem;
【基金】 国家自然科学基金资助项目(11871064)
- 【文献出处】 扬州大学学报(自然科学版) ,Journal of Yangzhou University(Natural Science Edition) , 编辑部邮箱 ,2020年06期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】59