A Study of an IBVP of Fractional Differential Equations in Banach Space via the Measure of Noncompactness-Reference-Cited by-同舟云学术

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

Published:2023-12-29 Issue:1 Volume:8 Page:30
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Mesmouli Mouataz Billah¹^ORCID,Hamza Amjad E.¹,Rizk Doaa²

Affiliation:

1. Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

2. Department of Mathematics, College of Science and Arts in Al-Asyah, Qassim University, Buraidah 6640, Saudi Arabia

Abstract

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 Mönch fixed-point theorem. Our study in Banach space contains two nonlinear terms and two different orders of derivatives, ς and τ, such that ς∈1,2 and τ∈0,ς. Our paper ends with a conclusion.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/8/1/30/pdf

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