On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative

被引：3
|
作者：
Ruziev, Menglibay [1 ]
Zunnunov, Rakhimjon [1 ]
机构：
[1] Acad Sci Uzbek, Inst Math, Univ Str 4b, Tashkent 100174, Uzbekistan
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 02期
关键词：
fractional order derivative; Riemann-Liouville operator; boundary value problem; singular coefficient; mixed-type equation; BOUNDARY-VALUE PROBLEM;
D O I：
10.3390/fractalfract6020110
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved. In the hyperbolic part of the considered domain, the functional equation is solved by the iteration method. The problem is reduced to solving the Volterra integro-differential equation.
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页数：8
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