卡普托-哈达玛德分数微分方程无限系统在三重序列空间 $$c^3(\triangle )$$ 的可解性

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-04-01 DOI:10.1007/s11868-024-00601-6

Hojjatollah Amiri Kayvanloo, Hamid Mehravaran, Mohammad Mursaleen, Reza Allahyari, Asghar Allahyari

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引用次数: 0

摘要

首先，我们引入了三重序列空间 $ c^3(\triangle )$ 的概念，并在此空间上定义了非紧凑性的豪斯多夫度量（MNC）。此外，通过使用此 MNC，我们研究了在三重序列空间 $ c^3(\triangle )$ 中具有三点积分边界条件的卡普托-哈达玛德分数微分方程无限系统解的存在性。最后，我们举例说明我们主要结果的有效性。

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Solvability of infinite systems of Caputo–Hadamard fractional differential equations in the triple sequence space $$c^3(\triangle )$$

First, we introduce the concept of triple sequence space $c^3(\triangle )$ and we define a Hausdorff measure of noncompactness (MNC) on this space. Furthermore, by using this MNC we study the existence of solutions of infinite systems of Caputo–Hadamard fractional differential equations with three point integral boundary conditions in the triple sequence space $ c^3(\triangle )$. Finally, we give an example to show the effectiveness of our main result.

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来源期刊

Journal of Pseudo-Differential Operators and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.20

自引率

9.10%

发文量

期刊介绍： The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.