On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions

On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions

By coincidence degree theory due to Mawhin, some sufficient conditions for the existence of solution for a class of coupled jerk equations with multi-point conditions are established. The new existence results have not yet been reported before. Novel coupled fractional jerk equations with resonant b...

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Bibliographic Details
Main Authors: Lei Hu, Yaozhen Han, Shuqin Zhang
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Axioms
Subjects:
coupled jerk equations
multi-point boundary conditions
coincidence degree theory
resonance
Online Access:https://www.mdpi.com/2075-1680/10/2/103
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spelling doaj-fd7c0532eb274906b15668493c9953d42021-06-01T00:58:31ZengMDPI AGAxioms2075-16802021-05-011010310310.3390/axioms10020103On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary ConditionsLei Hu0Yaozhen Han1Shuqin Zhang2School of Science, Shandong Jiaotong University, Jinan 250357, ChinaSchool of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, ChinaDepartment of Mathematics, China University of Mining and Technology, Beijing 100083, ChinaBy coincidence degree theory due to Mawhin, some sufficient conditions for the existence of solution for a class of coupled jerk equations with multi-point conditions are established. The new existence results have not yet been reported before. Novel coupled fractional jerk equations with resonant boundary value conditions are discussed in detail for the first time. Our work is interesting and complements known results.https://www.mdpi.com/2075-1680/10/2/103coupled jerk equationsmulti-point boundary conditionscoincidence degree theoryresonance
collection DOAJ
language English
format Article
sources DOAJ
author Lei Hu
Yaozhen Han
Shuqin Zhang
spellingShingle Lei Hu
Yaozhen Han
Shuqin Zhang
On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions
Axioms
coupled jerk equations
multi-point boundary conditions
coincidence degree theory
resonance
author_facet Lei Hu
Yaozhen Han
Shuqin Zhang
author_sort Lei Hu
title On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions
title_short On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions
title_full On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions
title_fullStr On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions
title_full_unstemmed On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions
title_sort on the existence of coupled fractional jerk equations with multi-point boundary conditions
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2021-05-01
description By coincidence degree theory due to Mawhin, some sufficient conditions for the existence of solution for a class of coupled jerk equations with multi-point conditions are established. The new existence results have not yet been reported before. Novel coupled fractional jerk equations with resonant boundary value conditions are discussed in detail for the first time. Our work is interesting and complements known results.
topic coupled jerk equations
multi-point boundary conditions
coincidence degree theory
resonance
url https://www.mdpi.com/2075-1680/10/2/103
work_keys_str_mv AT leihu ontheexistenceofcoupledfractionaljerkequationswithmultipointboundaryconditions
AT yaozhenhan ontheexistenceofcoupledfractionaljerkequationswithmultipointboundaryconditions
AT shuqinzhang ontheexistenceofcoupledfractionaljerkequationswithmultipointboundaryconditions
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