Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems

被引：0
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作者：
Alberto Cabada
Suzana Aleksić
Tatjana V. Tomović
Sladjana Dimitrijević
机构：
[1] Universidade de Santiago de Compostela,Departamento de Estatística, Análise Matemática e Optimización Instituto de Matemáticas, Facultade de Matemáticas
[2] Faculty of Science,Department of Mathematics and Informatics
[3] University of Kragujevac,undefined
来源：
Mediterranean Journal of Mathematics | 2019年 / 16卷
关键词：
Fractional differential equation; non-local boundary value problem; positive solution; Caputo’s fractional derivative; Green’s function; 34A08; 34B10; 34B15;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes its sign, so that, the positive sign of the possible solutions is generally not ensured. We provide some examples which support the theory and illustrate the applicability of the obtained results.
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