EXISTENCE RESULTS FOR CAPUTO FRACTIONAL BOUNDARY VALUE PROBLEMS WITH UNRESTRICTED GROWTH CONDITIONS

被引：0
|
作者：
Fewster-Young, Nicholas [1 ]
机构：
[1] Univ South Australia, UniSA STEM, Adelaide, SA, Australia
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2023年 / 15卷 / 02期
关键词：
Fractional differential equations; boundary value problems; existence results; a priori; fractional inequalities;
D O I：
10.7153/dea-2023-15-08
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents new results to fractional boundary value problems of the Caputo type with focal boundary conditions. This fractional derivative is used extensively in modelling real world applications. The main aim of this paper is to present results for the existence of solutions to ensure the usefulness in the context of modelling and providing a priori bounds on all possible solutions subject to a single versatile differential inequality. These results vastly expand the scope of problems which are applicable since it allows the fractional differential equation to have unrestricted growth and be nonlinear.
引用
收藏
页码：135 / 146
页数：12
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