A Study of an IBVP of Fractional Differential Equations in Banach Space via the Measure of Noncompactness

被引：4

作者：

Mesmouli, Mouataz Billah ^{[1
]}

Hamza, Amjad E. ^{[1
]}

Rizk, Doaa ^{[2
]}

机构：

[1] Univ Hail, Coll Sci, Math Dept, Hail 2440, Saudi Arabia

[2] Qassim Univ, Coll Sci & Arts Al Asyah, Dept Math, Buraydah 6640, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 01期

关键词：

IBVP; Banach space; existence of solutions; Monch fixed point theorem; Riemann-Liouville; fractional derivatives; nonlinear equations; POSITIVE SOLUTIONS;

D O I：

10.3390/fractalfract8010030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we are concerned with a very general integral boundary value problem of Riemann-Liouville derivatives. We will study the problem in Banach space. To be more specific, we are interested in proving the existence of a solution to our problem via the measure of noncompactness and Monch fixed-point theorem. Our study in Banach space contains two nonlinear terms and two different orders of derivatives, sigma and tau, such that sigma is an element of 1,2 and tau is an element of 0,sigma. Our paper ends with a conclusion.

引用

页数：8

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