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

AIMS Mathematics

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