Existence and non-existence results for higher order fractional boundary value problem

In this paper, we discuss the existence and the uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value by using Banach fixed point theorem. Moreover, we compare the obtained results with another two works considering similar problem.

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Publication Details

Journal
Discrete and Continuous Dynamical Systems - B
Published
2025-01-01
DOI
https://doi.org/10.3934/dcdsb.2025081
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Existence and non-existence results for higher order fractional boundary value problem

Barbara Łupińska
Discrete and Continuous Dynamical Systems - B
Nonlinear Differential Equations Analysis
article

Existence and non-existence results for higher order fractional boundary value problem

Barbara Łupińska
article en

Abstract

In this paper, we discuss the existence and the uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value by using Banach fixed point theorem. Moreover, we compare the obtained results with another two works considering similar problem.

Discrete and Continuous Dynamical Systems - BVol. 30(11)
Reduced inequalities
Openalex Percentile: Top 84%
Nonlinear Differential Equations Analysis
DOIOpen Access PDFOpenAlex
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Existence and non-existence results for higher order fractional boundary value problem — Barbara Łupińska · Discrete and Continuous Dynamical Systems - B (2025) | TGRS Research Map | TGRS