The Existence and Uniqueness of Solutions for Variable-Order Fractional Differential Equations with Antiperiodic Fractional Boundary Conditions

In this paper, we discuss the existence and uniqueness of solutions for nonlinear fractional differential equations of variable order with fractional antiperiodic boundary conditions. The main results are obtained by using fixed point theorem.

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Main Authors: Fang Wang, Lei Liu
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/7663192
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author Fang Wang
Lei Liu
author_facet Fang Wang
Lei Liu
author_sort Fang Wang
collection DOAJ
description In this paper, we discuss the existence and uniqueness of solutions for nonlinear fractional differential equations of variable order with fractional antiperiodic boundary conditions. The main results are obtained by using fixed point theorem.
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institution DOAJ
issn 2314-8888
language English
publishDate 2022-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-cd70f33fbbf7454e8bdaadb4178a57dd2025-08-20T03:19:34ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7663192The Existence and Uniqueness of Solutions for Variable-Order Fractional Differential Equations with Antiperiodic Fractional Boundary ConditionsFang Wang0Lei Liu1School of Mathematics and StatisticsSchool of Mathematics and StatisticsIn this paper, we discuss the existence and uniqueness of solutions for nonlinear fractional differential equations of variable order with fractional antiperiodic boundary conditions. The main results are obtained by using fixed point theorem.http://dx.doi.org/10.1155/2022/7663192
spellingShingle Fang Wang
Lei Liu
The Existence and Uniqueness of Solutions for Variable-Order Fractional Differential Equations with Antiperiodic Fractional Boundary Conditions
Journal of Function Spaces
title The Existence and Uniqueness of Solutions for Variable-Order Fractional Differential Equations with Antiperiodic Fractional Boundary Conditions
title_full The Existence and Uniqueness of Solutions for Variable-Order Fractional Differential Equations with Antiperiodic Fractional Boundary Conditions
title_fullStr The Existence and Uniqueness of Solutions for Variable-Order Fractional Differential Equations with Antiperiodic Fractional Boundary Conditions
title_full_unstemmed The Existence and Uniqueness of Solutions for Variable-Order Fractional Differential Equations with Antiperiodic Fractional Boundary Conditions
title_short The Existence and Uniqueness of Solutions for Variable-Order Fractional Differential Equations with Antiperiodic Fractional Boundary Conditions
title_sort existence and uniqueness of solutions for variable order fractional differential equations with antiperiodic fractional boundary conditions
url http://dx.doi.org/10.1155/2022/7663192
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