Boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative on unbounded domain

Maria Titraoui, Y. Arioua
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引用次数: 2

Abstract

In this paper, we establish sufficient conditions for the existence of bounded solution for a class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on unbounded domain. Our results are based on a fixed point theorem of Schauder combined with the diagonalization argument method in a special Banach space. To that end, an example is presented to illustrate the usefulness of our main results.
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无界区域上含erd - kober导数的非线性分数阶微分方程的边值问题
本文建立了无界域上一类含erd - kober微分算子的非线性分数阶微分方程边值问题有界解存在的充分条件。我们的结果是基于Schauder的不动点定理和对角化论证方法在特殊Banach空间中的应用。为此,给出了一个例子来说明我们的主要结果的有用性。
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CiteScore
1.10
自引率
10.00%
发文量
18
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