Fractional Differential Equations with Mixed Boundary Conditions

被引：53

作者：

Almeida, Ricardo ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 04期

关键词：

Fractional differential equations; Fractional calculus; Fixed-point theorems;

D O I：

10.1007/s40840-017-0569-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the existence and uniqueness of solutions of a boundary value problem for a fractional differential equation of order (2,3), involving a general form of fractional derivative. First, we prove an equivalence between the Cauchy problem and the Volterra equation. Then, two results on the existence of solutions are proven, and we end with some illustrative examples.

引用

页码：1687 / 1697

页数：11

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