AIMS Mathematics | |
Existence and compatibility of positive solutions for boundary value fractional differential equation with modified analytic kernel | |
article | |
Amna Kalsoom1  Sehar Afsheen1  Akbar Azam2  Faryad Ali3  | |
[1] Department of Mathematics and Statistics, International Islamic University;Department of Mathematics, Grand Asian University;Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University | |
关键词: fractional differential equation; boundary value problem; positive solution; fractional Green's function; fixed-point theorem; | |
DOI : 10.3934/math.2023390 | |
学科分类:地球科学(综合) | |
来源: AIMS Press | |
【 摘 要 】
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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202302200002754ZK.pdf | 286KB | download |