A BOUNDARY PROBLEM WITH INTEGRAL GLUING CONDITION FOR A PARABOLIC-HYPERBOLIC EQUATION INVOLVING THE CAPUTO FRACTIONAL DERIVATIVE

被引：0
|
作者：
Karimov, Erkinjon T. [1 ]
Akhatov, Jasurjon S. [2 ]
机构：
[1] Natl Univ Uzbekistan, Inst Math, Tashkent, Uzbekistan
[2] Acad Sci Uzbek, SPA Phys Sun, Phys Tech Inst, Tashkent, Uzbekistan
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
关键词：
Parabolic-hyperbolic equation; Tricomi problem; Caputo fractional derivative; Green's function;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present work we investigate the Tricomi problem with an integral gluing condition for a parabolic-hyperbolic equation involving the Caputo fractional differential operator. Using the method of energy integrals, we prove the uniqueness of the solution for the considered problem. The existence of the solution have been proved applying methods of ordinary differential equations and Fredholm integral equations. The solution is represented in an explicit form.
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页数：6
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