Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique
The work addressed in this paper is to ensure the existence and uniqueness of positive solutions for initial value problems for nonlinear fractional differential equations with two terms of fractional orders. By virtue of recent fixed point theorems on mixed monotone operators, we get some new strai...
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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/10.1155/2021/6670176 |
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| author | H. R. Marasi H. Aydi |
| author_facet | H. R. Marasi H. Aydi |
| author_sort | H. R. Marasi |
| collection | DOAJ |
| description | The work addressed in this paper is to ensure the existence and uniqueness of positive solutions for initial value problems for nonlinear fractional differential equations with two terms of fractional orders. By virtue of recent fixed point theorems on mixed monotone operators, we get some new straightforward results with a wide range of applications. |
| format | Article |
| id | doaj-art-f5b4cb9c3a914176b70f930f83bd178c |
| 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-f5b4cb9c3a914176b70f930f83bd178c2025-02-03T06:06:28ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66701766670176Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point TechniqueH. R. Marasi0H. Aydi1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranNonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamThe work addressed in this paper is to ensure the existence and uniqueness of positive solutions for initial value problems for nonlinear fractional differential equations with two terms of fractional orders. By virtue of recent fixed point theorems on mixed monotone operators, we get some new straightforward results with a wide range of applications.http://dx.doi.org/10.1155/2021/6670176 |
| spellingShingle | H. R. Marasi H. Aydi Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique Journal of Mathematics |
| title | Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique |
| title_full | Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique |
| title_fullStr | Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique |
| title_full_unstemmed | Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique |
| title_short | Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique |
| title_sort | existence and uniqueness results for two term nonlinear fractional differential equations via a fixed point technique |
| url | http://dx.doi.org/10.1155/2021/6670176 |
| work_keys_str_mv | AT hrmarasi existenceanduniquenessresultsfortwotermnonlinearfractionaldifferentialequationsviaafixedpointtechnique AT haydi existenceanduniquenessresultsfortwotermnonlinearfractionaldifferentialequationsviaafixedpointtechnique |