关于一类非线性非局部分数阶微分方程

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2021-07-15 DOI:10.37193/cjm.2021.03.07

Hossein Fazli, Hongguang Sun, Sima Aghchi, J. Nieto

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引用次数: 0

摘要

我们研究了流体动力学领域中一类分数阶微分方程极值解的存在性。通过建立一个新的比较定理，并应用经典的单调迭代方法，我们建立了保证极值解存在的充分条件，构造了双收敛单调显式迭代格式。具有非线性源函数的广义非线性非局部Bagley-Torvik方程和广义Basset方程是我们讨论的问题的一些特例。

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On a class of nonlinear nonlocal fractional differential equations

We investigate the existence of extremal solutions for a class of fractional differential equations in the area of fluid dynamics. By establishing a new comparison theorem and applying the classical monotone iterative approach, we establish sufficient conditions to ensure the existence of the extremal solutions and construct twin convergent monotone explicit iterative schemes. Generalized nonlinear nonlocal Bagley-Torvik equation and generalized Basset equation with nonlinear source functions are some special cases of our discussed problem.

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.