On one class of differential equations of fractional order

被引：12

作者：

Vityuk, A. N. ^{[1
]}

Mikhailenko, A. V. ^{[1
]}

机构：

[1] Odessa Natl Univ, Inst Math Econ & Mech, Odessa, Ukraine

来源：

NONLINEAR OSCILLATIONS | 2008年 / 11卷 / 03期

关键词：

D O I：

10.1007/s11072-009-0032-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Darboux problem for a differential equation of fractional order that contains a regularized mixed derivative. Sufficient conditions for the existence and uniqueness of a solution of this problem are obtained in the class of continuous functions. We also propose a method for finding an approximate solution of this problem and prove the convergence of this method.

引用

页码：307 / 319

页数：13

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