具有积分边值条件的caputo型非线性分数阶微分方程多个正解的存在性

IF 0.9 4区数学 Q2 MATHEMATICS

Fixed Point Theory Pub Date : 2022-01-02 DOI:10.24193/fpt-ro.2022.1.08

M. Asaduzzaman, Md. Zulfikar Ali

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引用次数: 3

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Existence of multiple positive solutions to the Caputo-type nonlinear fractional differential equation with integral boundary value conditions

. In this article, the existence criteria of at least one or at least three positive solutions to the Caputo-type nonlinear fractional diﬀerential equation with integral boundary value conditions has been established. The method applied in this study is formulated by the well-known Guo-Krasnoselskii’s ﬁxed point theorem and Leggett-Williams ﬁxed point theorem. First, the Green’s function for corresponding linear fractional diﬀerential equation of the main nonlinear fractional diﬀerential equation under same boundary value conditions has been constructed. Next, several essential properties of that Green’s function have been proved. Finally, in cone spaces some new existence and multiplicity results for the Caputo-type nonlinear fractional diﬀerential equation with integral boundary value conditions are obtained. To support the analytic proof appropriate illustrative examples has also been discussed.

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来源期刊

Fixed Point Theory 数学-数学

CiteScore

2.30

自引率

9.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.