Existence of solutions to the generalized periodic fractional boundary value problem-Reference-Cited by-同舟云学术

Existence of solutions to the generalized periodic fractional boundary value problem

Published:2023-02-02 Issue:11 Volume:46 Page:11971-11982
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Fečkan Michal¹²^ORCID,Marynets Kateryna³^ORCID,Wang JinRong⁴^ORCID

Affiliation:

1. Department of Mathematical Analysis and Numerical Mathematics Comenius University in Bratislava Bratislava Slovakia

2. Mathematical Institute of Slovak Academy of Sciences Bratislava Slovakia

3. Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science Delft University of Technology Delft The Netherlands

4. Department of Mathematics Guizhou University Guiyang China

Abstract

We study a boundary value problem for a Caputo‐type fractional differential equation subjected to periodic boundary conditions. For an auxiliary problem with the simplified right‐hand side, we explicitly construct its unique solution. In addition, based on the theory of the topological index, we prove existence of at least one solution to the original problem.

Funder

National Natural Science Foundation of China

Agentúra na Podporu Výskumu a Vývoja

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9097

Reference16 articles.

1. Periodic Motions

2. Existence of positive solutions of a periodic boundary value problems for nonlinear fractional differential equations at resonance;Hu L;J Frac Calc Appl,2017

3. Periodic boundary value problems for higher‐order fractional differential systems

4. Approximation approach to periodic BVP for fractional differential systems

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