Existence of solutions for fractional boundary value problems with Riesz space derivative and nonlocal conditions

被引：0

作者：

Toprakseven, Suayip ^{[1
]}

机构：

[1] Artvin Coruh Univ, Fac Engn, Dept Comp Sci, TR-08100 Artvin, Turkiye

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2023年 / 68卷 / 04期

关键词：

Fractional boundary value problem; Riesz-Caputo fractional deriva-tive; existence and uniqueness; fixed point; nonlocal conditions; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; DIFFUSION EQUATION; UNIQUENESS; ORDER;

D O I：

10.24193/subbmath.2023.4.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the fixed point theorems, we give sufficient conditions for the existence and uniqueness of solutions for the nonlocal fractional boundary value problem of nonlinear Riesz-Caputo differential equation. The boundedness assumption on the nonlinear term is replaced by growth conditions or by a continuous function. Finally, some examples are presented to illustrate the applications of the obtained results.

引用

页码：701 / 715

页数：15

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