New Existence Results for Nonlinear Fractional Integrodifferential Equations
This paper discusses a boundary value problem of nonlinear fractional integrodifferential equations of order 1<α≤2 and 1<β≤2 and boundary conditions of the form x0=x1=Dcβx1=Dcβx0=0. Some new existence and uniqueness results are proposed by using the fixed point theory. In particular, we make u...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5525591 |
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| _version_ | 1832565654068133888 |
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| author | Lahcen Ibnelazyz Karim Guida Khalid Hilal Said Melliani |
| author_facet | Lahcen Ibnelazyz Karim Guida Khalid Hilal Said Melliani |
| author_sort | Lahcen Ibnelazyz |
| collection | DOAJ |
| description | This paper discusses a boundary value problem of nonlinear fractional integrodifferential equations of order 1<α≤2 and 1<β≤2 and boundary conditions of the form x0=x1=Dcβx1=Dcβx0=0. Some new existence and uniqueness results are proposed by using the fixed point theory. In particular, we make use of the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem under some weak conditions. Moreover, two illustrative examples are studied to support the results. |
| format | Article |
| id | doaj-art-7b7f4ed088d143198e5cc583e1a01842 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7b7f4ed088d143198e5cc583e1a018422025-02-03T01:07:07ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55255915525591New Existence Results for Nonlinear Fractional Integrodifferential EquationsLahcen Ibnelazyz0Karim Guida1Khalid Hilal2Said Melliani3Sultan 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, MoroccoThis paper discusses a boundary value problem of nonlinear fractional integrodifferential equations of order 1<α≤2 and 1<β≤2 and boundary conditions of the form x0=x1=Dcβx1=Dcβx0=0. Some new existence and uniqueness results are proposed by using the fixed point theory. In particular, we make use of the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem under some weak conditions. Moreover, two illustrative examples are studied to support the results.http://dx.doi.org/10.1155/2021/5525591 |
| spellingShingle | Lahcen Ibnelazyz Karim Guida Khalid Hilal Said Melliani New Existence Results for Nonlinear Fractional Integrodifferential Equations Advances in Mathematical Physics |
| title | New Existence Results for Nonlinear Fractional Integrodifferential Equations |
| title_full | New Existence Results for Nonlinear Fractional Integrodifferential Equations |
| title_fullStr | New Existence Results for Nonlinear Fractional Integrodifferential Equations |
| title_full_unstemmed | New Existence Results for Nonlinear Fractional Integrodifferential Equations |
| title_short | New Existence Results for Nonlinear Fractional Integrodifferential Equations |
| title_sort | new existence results for nonlinear fractional integrodifferential equations |
| url | http://dx.doi.org/10.1155/2021/5525591 |
| work_keys_str_mv | AT lahcenibnelazyz newexistenceresultsfornonlinearfractionalintegrodifferentialequations AT karimguida newexistenceresultsfornonlinearfractionalintegrodifferentialequations AT khalidhilal newexistenceresultsfornonlinearfractionalintegrodifferentialequations AT saidmelliani newexistenceresultsfornonlinearfractionalintegrodifferentialequations |