On the solution of the Cauchy problem for a higher-order equation with the fractional Riemann-Liouville derivative

被引：0
作者：
Irgashev, B. Yu. [1 ,2 ,3 ]
机构：
[1] New Uzbekistan Univ, 54 Mustaqillik Ave, Tashkent 100174, Uzbekistan
[2] Namangan Engn Construction Inst, I.Karimov Str 12, Namangan 160100, Uzbekistan
[3] Acad Sci, Inst Math, 9 Univ Str, Tashkent 100174, Uzbekistan
来源：
QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 07期
关键词：
Higher order equation; fractional Riemann-Liouville derivative; Wright function; Cauchy problem; solution representation; DIFFUSION-WAVE EQUATION;
D O I：
10.2989/16073606.2024.2320444
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, a representation of the solution of the Cauchy problem for an equation of high even order with a fractional derivative in the Riemann-Liouville sense of order greater than one is obtained. The uniqueness of the solution is proved.
引用
收藏
页码：1339 / 1352
页数：14
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