Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
Abstract This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive principle. An example is also provide...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-023-01713-6 |
| _version_ | 1827983246782103552 |
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| author | Chenkuan Li |
| author_facet | Chenkuan Li |
| author_sort | Chenkuan Li |
| collection | DOAJ |
| description | Abstract This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive principle. An example is also provided to illustrate the applications of our theorem. |
| first_indexed | 2024-04-09T22:44:42Z |
| format | Article |
| id | doaj.art-465edc49acf6444d90c65fea03764ee2 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-09T22:44:42Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-465edc49acf6444d90c65fea03764ee22023-03-22T11:54:18ZengSpringerOpenBoundary Value Problems1687-27702023-03-012023111010.1186/s13661-023-01713-6Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficientsChenkuan Li0Department of Mathematics and Computer Science, Brandon UniversityAbstract This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive principle. An example is also provided to illustrate the applications of our theorem.https://doi.org/10.1186/s13661-023-01713-6Liouville-Caputo integro-differential equationBanach’s contractive principleMittag-Leffler functionBabenko’s approach |
| spellingShingle | Chenkuan Li Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients Boundary Value Problems Liouville-Caputo integro-differential equation Banach’s contractive principle Mittag-Leffler function Babenko’s approach |
| title | Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients |
| title_full | Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients |
| title_fullStr | Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients |
| title_full_unstemmed | Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients |
| title_short | Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients |
| title_sort | uniqueness of a nonlinear integro differential equation with nonlocal boundary condition and variable coefficients |
| topic | Liouville-Caputo integro-differential equation Banach’s contractive principle Mittag-Leffler function Babenko’s approach |
| url | https://doi.org/10.1186/s13661-023-01713-6 |
| work_keys_str_mv | AT chenkuanli uniquenessofanonlinearintegrodifferentialequationwithnonlocalboundaryconditionandvariablecoefficients |