Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator
Abstract In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions. We also prove Hyers–Ulam stability for the proposed coupled system of fractional differential equations (FDEs) with the nonlinear p-Lap...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1899-x |
| _version_ | 1811269658483884032 |
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| author | Hasib Khan Wen Chen Aziz Khan Tahir S. Khan Qasem M. Al-Madlal |
| author_facet | Hasib Khan Wen Chen Aziz Khan Tahir S. Khan Qasem M. Al-Madlal |
| author_sort | Hasib Khan |
| collection | DOAJ |
| description | Abstract In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions. We also prove Hyers–Ulam stability for the proposed coupled system of fractional differential equations (FDEs) with the nonlinear p-Laplacian operator and Riemann–Liouville integral boundary conditions (IBCs). An illustrative example is presented to demonstrate our main results. |
| first_indexed | 2024-04-12T21:47:04Z |
| format | Article |
| id | doaj.art-f6edc9092a994894943baec9cee85379 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-12T21:47:04Z |
| publishDate | 2018-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-f6edc9092a994894943baec9cee853792022-12-22T03:15:37ZengSpringerOpenAdvances in Difference Equations1687-18472018-12-012018111610.1186/s13662-018-1899-xHyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operatorHasib Khan0Wen Chen1Aziz Khan2Tahir S. Khan3Qasem M. Al-Madlal4College of Engineering Mechanics and Materials, Hohai UniversityCollege of Engineering Mechanics and Materials, Hohai UniversityUniversity of PeshawarUniversity of PeshawarDepartment of Mathematical Sciences, United Arab Emirates UniversityAbstract In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions. We also prove Hyers–Ulam stability for the proposed coupled system of fractional differential equations (FDEs) with the nonlinear p-Laplacian operator and Riemann–Liouville integral boundary conditions (IBCs). An illustrative example is presented to demonstrate our main results.http://link.springer.com/article/10.1186/s13662-018-1899-xFractional differential equationsRiemann–Liouville integral boundary conditionsp-Laplacian operatorHyers–Ulam stabilityBanach’s fixed point theorem |
| spellingShingle | Hasib Khan Wen Chen Aziz Khan Tahir S. Khan Qasem M. Al-Madlal Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator Advances in Difference Equations Fractional differential equations Riemann–Liouville integral boundary conditions p-Laplacian operator Hyers–Ulam stability Banach’s fixed point theorem |
| title | Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator |
| title_full | Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator |
| title_fullStr | Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator |
| title_full_unstemmed | Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator |
| title_short | Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator |
| title_sort | hyers ulam stability and existence criteria for coupled fractional differential equations involving p laplacian operator |
| topic | Fractional differential equations Riemann–Liouville integral boundary conditions p-Laplacian operator Hyers–Ulam stability Banach’s fixed point theorem |
| url | http://link.springer.com/article/10.1186/s13662-018-1899-x |
| work_keys_str_mv | AT hasibkhan hyersulamstabilityandexistencecriteriaforcoupledfractionaldifferentialequationsinvolvingplaplacianoperator AT wenchen hyersulamstabilityandexistencecriteriaforcoupledfractionaldifferentialequationsinvolvingplaplacianoperator AT azizkhan hyersulamstabilityandexistencecriteriaforcoupledfractionaldifferentialequationsinvolvingplaplacianoperator AT tahirskhan hyersulamstabilityandexistencecriteriaforcoupledfractionaldifferentialequationsinvolvingplaplacianoperator AT qasemmalmadlal hyersulamstabilityandexistencecriteriaforcoupledfractionaldifferentialequationsinvolvingplaplacianoperator |