Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions
In this work, we study existence and uniqueness of solutions for multi-point boundary value problemS of nonlinear fractional differential equations with two fractional derivatives. By using a variety of fixed point theorems, such as Banach's fixed point theorem, Leray-Schauder's nonlinear...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022998?viewType=HTML |
| _version_ | 1828424746273865728 |
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| author | Isra Al-Shbeil Abdelkader Benali Houari Bouzid Najla Aloraini |
| author_facet | Isra Al-Shbeil Abdelkader Benali Houari Bouzid Najla Aloraini |
| author_sort | Isra Al-Shbeil |
| collection | DOAJ |
| description | In this work, we study existence and uniqueness of solutions for multi-point boundary value problemS of nonlinear fractional differential equations with two fractional derivatives. By using a variety of fixed point theorems, such as Banach's fixed point theorem, Leray-Schauder's nonlinear alternative and Leray-Schauder's degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed. |
| first_indexed | 2024-12-10T16:22:21Z |
| format | Article |
| id | doaj.art-18c57601625b459b93308f225cd9931d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T16:22:21Z |
| publishDate | 2022-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-18c57601625b459b93308f225cd9931d2022-12-22T01:41:46ZengAIMS PressAIMS Mathematics2473-69882022-08-01710181421815710.3934/math.2022998Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditionsIsra Al-Shbeil0Abdelkader Benali 1Houari Bouzid2Najla Aloraini31. Department of Mathematics, Faculty of Sciences, University of Jordan, Amman 11942, Jordan2. University of Hassiba Benbouali, Faculty of the Exact Sciences and Computer, Mathematics Department, Laboratory LMA, Chlef 02000, Algeria2. University of Hassiba Benbouali, Faculty of the Exact Sciences and Computer, Mathematics Department, Laboratory LMA, Chlef 02000, Algeria3. Department of Mathematics, Faculty of Science, Qassim University, Qassim, Saudi ArabiaIn this work, we study existence and uniqueness of solutions for multi-point boundary value problemS of nonlinear fractional differential equations with two fractional derivatives. By using a variety of fixed point theorems, such as Banach's fixed point theorem, Leray-Schauder's nonlinear alternative and Leray-Schauder's degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.https://www.aimspress.com/article/doi/10.3934/math.2022998?viewType=HTMLriemann-liouville integralexistence of solutionsfixed point theorem |
| spellingShingle | Isra Al-Shbeil Abdelkader Benali Houari Bouzid Najla Aloraini Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions AIMS Mathematics riemann-liouville integral existence of solutions fixed point theorem |
| title | Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions |
| title_full | Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions |
| title_fullStr | Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions |
| title_full_unstemmed | Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions |
| title_short | Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions |
| title_sort | existence of solutions for multi point nonlinear differential system equations of fractional orders with integral boundary conditions |
| topic | riemann-liouville integral existence of solutions fixed point theorem |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022998?viewType=HTML |
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