On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations
The aim of this paper is to give the existence as well as the uniqueness results for a multipoint nonlocal integral boundary value problem of nonlinear sequential fractional integrodifferential equations. First of all, we give some preliminaries and notations that are necessary for the understanding...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8891736 |
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| _version_ | 1832547183886336000 |
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| author | Lahcen Ibnelazyz Karim Guida Said Melliani Khalid Hilal |
| author_facet | Lahcen Ibnelazyz Karim Guida Said Melliani Khalid Hilal |
| author_sort | Lahcen Ibnelazyz |
| collection | DOAJ |
| description | The aim of this paper is to give the existence as well as the uniqueness results for a multipoint nonlocal integral boundary value problem of nonlinear sequential fractional integrodifferential equations. First of all, we give some preliminaries and notations that are necessary for the understanding of the manuscript; second of all, we show the existence and uniqueness of the solution by means of the fixed point theory, namely, Banach’s contraction principle and Krasnoselskii’s fixed point theorem. Last, but not least, we give two examples to illustrate the results. |
| format | Article |
| id | doaj-art-d7f0ba84fedf4178b29098b009f21bde |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d7f0ba84fedf4178b29098b009f21bde2025-02-03T06:45:52ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88917368891736On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential EquationsLahcen Ibnelazyz0Karim Guida1Said Melliani2Khalid Hilal3Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, MoroccoSultan Moulay Slimane University, BP 523, 23000 Beni Mellal, MoroccoSultan Moulay Slimane University, BP 523, 23000 Beni Mellal, MoroccoSultan Moulay Slimane University, BP 523, 23000 Beni Mellal, MoroccoThe aim of this paper is to give the existence as well as the uniqueness results for a multipoint nonlocal integral boundary value problem of nonlinear sequential fractional integrodifferential equations. First of all, we give some preliminaries and notations that are necessary for the understanding of the manuscript; second of all, we show the existence and uniqueness of the solution by means of the fixed point theory, namely, Banach’s contraction principle and Krasnoselskii’s fixed point theorem. Last, but not least, we give two examples to illustrate the results.http://dx.doi.org/10.1155/2020/8891736 |
| spellingShingle | Lahcen Ibnelazyz Karim Guida Said Melliani Khalid Hilal On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations Journal of Function Spaces |
| title | On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations |
| title_full | On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations |
| title_fullStr | On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations |
| title_full_unstemmed | On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations |
| title_short | On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations |
| title_sort | on a nonlocal multipoint and integral boundary value problem of nonlinear fractional integrodifferential equations |
| url | http://dx.doi.org/10.1155/2020/8891736 |
| work_keys_str_mv | AT lahcenibnelazyz onanonlocalmultipointandintegralboundaryvalueproblemofnonlinearfractionalintegrodifferentialequations AT karimguida onanonlocalmultipointandintegralboundaryvalueproblemofnonlinearfractionalintegrodifferentialequations AT saidmelliani onanonlocalmultipointandintegralboundaryvalueproblemofnonlinearfractionalintegrodifferentialequations AT khalidhilal onanonlocalmultipointandintegralboundaryvalueproblemofnonlinearfractionalintegrodifferentialequations |