Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems

Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems

In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and integral boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of...

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Main Authors: Bashir Ahmad, Najla Alghamdi, Ahmed Alsaedi, Sotiris K. Ntouyas
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Axioms
Subjects:
caputo fractional derivative
multi-term fractional differential equations
existence
fixed point
Online Access:https://www.mdpi.com/2075-1680/9/2/70
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spelling doaj-391702161c0e400baa86df7d0aacaffd2020-11-25T03:59:21ZengMDPI AGAxioms2075-16802020-06-019707010.3390/axioms9020070Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value ProblemsBashir Ahmad0Najla Alghamdi1Ahmed Alsaedi2Sotiris K. Ntouyas3Nonlinear Analysis and Applied Mathematics (NAAM)–Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)–Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)–Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and integral boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples.https://www.mdpi.com/2075-1680/9/2/70caputo fractional derivativemulti-term fractional differential equationsexistencefixed point
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Najla Alghamdi
Ahmed Alsaedi
Sotiris K. Ntouyas
spellingShingle Bashir Ahmad
Najla Alghamdi
Ahmed Alsaedi
Sotiris K. Ntouyas
Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems
Axioms
caputo fractional derivative
multi-term fractional differential equations
existence
fixed point
author_facet Bashir Ahmad
Najla Alghamdi
Ahmed Alsaedi
Sotiris K. Ntouyas
author_sort Bashir Ahmad
title Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems
title_short Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems
title_full Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems
title_fullStr Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems
title_full_unstemmed Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems
title_sort existence results for nonlocal multi-point and multi-term fractional order boundary value problems
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2020-06-01
description In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and integral boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples.
topic caputo fractional derivative
multi-term fractional differential equations
existence
fixed point
url https://www.mdpi.com/2075-1680/9/2/70
work_keys_str_mv AT bashirahmad existenceresultsfornonlocalmultipointandmultitermfractionalorderboundaryvalueproblems
AT najlaalghamdi existenceresultsfornonlocalmultipointandmultitermfractionalorderboundaryvalueproblems
AT ahmedalsaedi existenceresultsfornonlocalmultipointandmultitermfractionalorderboundaryvalueproblems
AT sotiriskntouyas existenceresultsfornonlocalmultipointandmultitermfractionalorderboundaryvalueproblems
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