Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line
In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal integral boundary conditions on the half-line. Using the properties of the Green function and monotone iterative method, the extremal solutions are obtained. Finally, an example is presented to ill...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9384128 |
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| _version_ | 1832547010365882368 |
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| author | Min Jiang Rengang Huang |
| author_facet | Min Jiang Rengang Huang |
| author_sort | Min Jiang |
| collection | DOAJ |
| description | In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal integral boundary conditions on the half-line. Using the properties of the Green function and monotone iterative method, the extremal solutions are obtained. Finally, an example is presented to illustrate our main results. |
| format | Article |
| id | doaj-art-60ee9a91867440d8930f3b38fc7cc58b |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-60ee9a91867440d8930f3b38fc7cc58b2025-02-03T06:46:15ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/93841289384128Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-LineMin Jiang0Rengang Huang1School of Data-Science and Information-Engineering, Guizhou Minzu University, Guiyang 550025, ChinaSchool of Business, Guizhou Minzu University, Guiyang 550025, ChinaIn this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal integral boundary conditions on the half-line. Using the properties of the Green function and monotone iterative method, the extremal solutions are obtained. Finally, an example is presented to illustrate our main results.http://dx.doi.org/10.1155/2021/9384128 |
| spellingShingle | Min Jiang Rengang Huang Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line Journal of Mathematics |
| title | Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line |
| title_full | Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line |
| title_fullStr | Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line |
| title_full_unstemmed | Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line |
| title_short | Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line |
| title_sort | monotone iterative schemes for positive solutions of a fractional q difference equation with integral boundary conditions on the half line |
| url | http://dx.doi.org/10.1155/2021/9384128 |
| work_keys_str_mv | AT minjiang monotoneiterativeschemesforpositivesolutionsofafractionalqdifferenceequationwithintegralboundaryconditionsonthehalfline AT renganghuang monotoneiterativeschemesforpositivesolutionsofafractionalqdifferenceequationwithintegralboundaryconditionsonthehalfline |