Existence and compatibility of positive solutions for boundary value fractional differential equation with modified analytic kernel

IF 1.8 3区 数学 Q1 MATHEMATICS
A. Kalsoom, Sehar Afsheen, A. Azam, Faryad Ali
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引用次数: 0

Abstract

In this article, a Green's function for a fractional boundary value problem in connection with modified analytic kernel has been constructed to study the existence of multiple solutions of a type of characteristic fractional boundary value problems. It is done here by using a well-known result: Krasnoselskii fixed point theorem. Moreover, a practical example is created to understand the importance of main results regarding the existence of solution of a boundary value fractional differential problem with homogeneous conditions. This example analytically and graphically, explains circumstances under which the Green's functions with different types of differential operator are compatible.
修正解析核边值分数阶微分方程正解的存在性与相容性
本文构造了一类带有修正解析核的分数阶边值问题的格林函数,研究了一类特征性分数阶边值问题多解的存在性。这里用一个著名的结果:Krasnoselskii不动点定理。并通过一个实例说明了齐次条件下边值分数阶微分问题解存在性的主要结果的重要性。这个例子以解析和图解的方式解释了不同类型的微分算子的格林函数兼容的情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
AIMS Mathematics
AIMS Mathematics Mathematics-General Mathematics
CiteScore
3.40
自引率
13.60%
发文量
769
审稿时长
90 days
期刊介绍: AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.
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