Existence and uniqueness for a mixed fractional differential system with slit-strips conditions
type: Item
instance of: scholarly article
title: Existence and uniqueness for a mixed fractional differential system with slit-strips conditions
author: Pengyan Yu
author: GuoXi Ni
author: Chengmin Hou
published in: Boundary Value Problems
publication date: 2024-11-18T00:00:00Z
review text: In this paper, the authors study the existence and uniqueness of solutions of systems of Caputo fractional differential equations with continuous nonlinearities by applying some known fixed-point theorems. Some examples are provided.\N\N\textbf{Reviewer's remark}: The following reference [\textit{K. Q. Lan}, ``Equivalences of nonlinear higher order fractional differential equations with integral equations'', Math. Methods Appl. Sci. (to appear)] shows that the continuity of nonlinearities is not sufficient for solutions of integral equations which are the solutions of higher order Caputo fractional equations. Remark 13 in the reference [\textit{K. Lan} and \textit{J. R. L. Webb}, Fract. Calc. Appl. Anal. 26, No. 3, 962--988 (2023; Zbl 1522.34025)] shows that one can not prove so far that solutions of integral equations are the solutions of the first order Caputo fractional equations even when the nonlinearities are sufficiently smooth.
reviewed by: K. Q. Lan
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7946143
zbMATH Keywords: mixed fractional differential
zbMATH Keywords: slit-strips condition
zbMATH Keywords: fixed point
zbMATH Keywords: existence and uniqueness
MaRDI profile type: Publication
cites work: Q5863102
cites work: On a nonlinear system of Riemann-Liouville fractional differential equations with semi-coupled integro-multipoint boundary conditions
cites work: Advances in Fractional Calculus
cites work: Fractional calculus and fractional processes with applications to financial economics. Theory and applications
cites work: An existence study for a tripled system with p-Laplacian involving φ-Caputo derivatives
cites work: A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips-type integral boundary conditions
cites work: Existence of solutions for a coupled system of nonlinear implicit differential equations involving \(\varrho\)-fractional derivative with anti periodic boundary conditions
cites work: Fractional order differential systems involving right Caputo and left Riemann-Liouville fractional derivatives with nonlocal coupled conditions
cites work: Existence and uniqueness of solution for a singular elliptic differential equation
cites work: A study of fractional-order coupled systems with a new concept of coupled non-separated boundary conditions
cites work: Q5376893
cites work: Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions
cites work: Some new versions of fractional boundary value problems with slit-strips conditions
cites work: Fractional differential equations with coupled slit-strips type integral boundary conditions
cites work: Nonlocal fractional boundary value problems with slit-strips boundary conditions
cites work: Q5699297
cites work: Q4051163
DOI: 10.1186/S13661-024-01942-3
description: scientific article; zbMATH DE number 7946143