On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions
The aim of this paper is to determine the eigenvalue intervals of $\mu_{\mathtt{k}},~1\le \mathtt{k}\le \mathtt{n}$ for which an iterative system of a class of fractional-order differential equations with parameterized integral boundary conditions (BCs) has at least one positive solution by means of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2024-03-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/3523386 |
| _version_ | 1797208818692653056 |
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| author | Muralee Bala Krushna Boddu Mahammad Khuddush |
| author_facet | Muralee Bala Krushna Boddu Mahammad Khuddush |
| author_sort | Muralee Bala Krushna Boddu |
| collection | DOAJ |
| description | The aim of this paper is to determine the eigenvalue intervals of $\mu_{\mathtt{k}},~1\le \mathtt{k}\le \mathtt{n}$ for which an iterative system of a class of fractional-order differential equations with parameterized integral boundary conditions (BCs) has at least one positive solution by means of standard fixed point theorem of cone type. To the best of our knowledge, this will be the first time that we attempt to reach such findings for the topic at hand in the literature. The obtained results in the paper are illustrated with an example of their feasibility. |
| first_indexed | 2024-04-24T09:44:51Z |
| format | Article |
| id | doaj.art-d821ce6d39404b92831ce5b447d8625d |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-04-24T09:44:51Z |
| publishDate | 2024-03-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-d821ce6d39404b92831ce5b447d8625d2024-04-15T04:06:04ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532024-03-0171465810.32323/ujma.13875281225On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary ConditionsMuralee Bala Krushna Boddu0Mahammad Khuddush1MVGR College of EngineeringAndhra UniversityThe aim of this paper is to determine the eigenvalue intervals of $\mu_{\mathtt{k}},~1\le \mathtt{k}\le \mathtt{n}$ for which an iterative system of a class of fractional-order differential equations with parameterized integral boundary conditions (BCs) has at least one positive solution by means of standard fixed point theorem of cone type. To the best of our knowledge, this will be the first time that we attempt to reach such findings for the topic at hand in the literature. The obtained results in the paper are illustrated with an example of their feasibility.https://dergipark.org.tr/tr/download/article-file/3523386boundary value problemfixed-point theoremsfractional derivativekernelpositive solution |
| spellingShingle | Muralee Bala Krushna Boddu Mahammad Khuddush On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions Universal Journal of Mathematics and Applications boundary value problem fixed-point theorems fractional derivative kernel positive solution |
| title | On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions |
| title_full | On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions |
| title_fullStr | On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions |
| title_full_unstemmed | On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions |
| title_short | On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions |
| title_sort | on the solvability of iterative systems of fractional order differential equations with parameterized integral boundary conditions |
| topic | boundary value problem fixed-point theorems fractional derivative kernel positive solution |
| url | https://dergipark.org.tr/tr/download/article-file/3523386 |
| work_keys_str_mv | AT muraleebalakrushnaboddu onthesolvabilityofiterativesystemsoffractionalorderdifferentialequationswithparameterizedintegralboundaryconditions AT mahammadkhuddush onthesolvabilityofiterativesystemsoffractionalorderdifferentialequationswithparameterizedintegralboundaryconditions |