Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions
Abstract In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed po...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03414-9 |
| _version_ | 1818597698402516992 |
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| author | Muthaiah Subramanian Jehad Alzabut Dumitru Baleanu Mohammad Esmael Samei Akbar Zada |
| author_facet | Muthaiah Subramanian Jehad Alzabut Dumitru Baleanu Mohammad Esmael Samei Akbar Zada |
| author_sort | Muthaiah Subramanian |
| collection | DOAJ |
| description | Abstract In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples. |
| first_indexed | 2024-12-16T11:51:56Z |
| format | Article |
| id | doaj.art-968fc250daf94d318f2452a97381f607 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-16T11:51:56Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-968fc250daf94d318f2452a97381f6072022-12-21T22:32:41ZengSpringerOpenAdvances in Difference Equations1687-18472021-05-012021114610.1186/s13662-021-03414-9Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditionsMuthaiah Subramanian0Jehad Alzabut1Dumitru Baleanu2Mohammad Esmael Samei3Akbar Zada4Department of mathematics, KPR Institute of Engineering and TechnologyDepartment of Mathematics and General Sciences, Prince Sultan UniversityDepartment of Mathematics, Cankaya UniversityDepartment of Mathematics, Bu-Ali Sina UniversityDepartment of Mathematics, University of PeshawarAbstract In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples.https://doi.org/10.1186/s13662-021-03414-9Coupled systemFractional differential equationsHadamard derivativesMulti-pointIntegral boundary conditions |
| spellingShingle | Muthaiah Subramanian Jehad Alzabut Dumitru Baleanu Mohammad Esmael Samei Akbar Zada Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions Advances in Difference Equations Coupled system Fractional differential equations Hadamard derivatives Multi-point Integral boundary conditions |
| title | Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions |
| title_full | Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions |
| title_fullStr | Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions |
| title_full_unstemmed | Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions |
| title_short | Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions |
| title_sort | existence uniqueness and stability analysis of a coupled fractional order differential systems involving hadamard derivatives and associated with multi point boundary conditions |
| topic | Coupled system Fractional differential equations Hadamard derivatives Multi-point Integral boundary conditions |
| url | https://doi.org/10.1186/s13662-021-03414-9 |
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