Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term

Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term

Abstract In this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term. By establishing new mixed monotone fixed point theorems, we prove these problems to have a unique solution, and we construct the corresponding iterative sequences t...

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Main Authors: Yanbin Sang, Luxuan He
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Boundary Value Problems
Subjects:
Fractional equation
Mixed monotone operator
Partial order method
Derivative term
Online Access:https://doi.org/10.1186/s13661-021-01497-7
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spelling doaj-fc996bb176394754b4792dc71115e70c2021-02-21T12:47:17ZengSpringerOpenBoundary Value Problems1687-27702021-02-012021112810.1186/s13661-021-01497-7Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative termYanbin Sang0Luxuan He1Department of Mathematics, School of Science, North University of ChinaDepartment of Mathematics, School of Science, North University of ChinaAbstract In this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term. By establishing new mixed monotone fixed point theorems, we prove these problems to have a unique solution, and we construct the corresponding iterative sequences to approximate the unique solution.https://doi.org/10.1186/s13661-021-01497-7Fractional equationMixed monotone operatorPartial order methodDerivative term
collection DOAJ
language English
format Article
sources DOAJ
author Yanbin Sang
Luxuan He
spellingShingle Yanbin Sang
Luxuan He
Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term
Boundary Value Problems
Fractional equation
Mixed monotone operator
Partial order method
Derivative term
author_facet Yanbin Sang
Luxuan He
author_sort Yanbin Sang
title Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term
title_short Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term
title_full Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term
title_fullStr Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term
title_full_unstemmed Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term
title_sort existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2021-02-01
description Abstract In this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term. By establishing new mixed monotone fixed point theorems, we prove these problems to have a unique solution, and we construct the corresponding iterative sequences to approximate the unique solution.
topic Fractional equation
Mixed monotone operator
Partial order method
Derivative term
url https://doi.org/10.1186/s13661-021-01497-7
work_keys_str_mv AT yanbinsang existenceofanapproximatesolutionforaclassoffractionalmultipointboundaryvalueproblemswiththederivativeterm
AT luxuanhe existenceofanapproximatesolutionforaclassoffractionalmultipointboundaryvalueproblemswiththederivativeterm
_version_ 1724257759051907072

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