Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives
We present a new method to convert the boundary value problems for impulsive fractional differential equations involving Caputo fractional derivatives to integral equations. This method is used to solve a classes of boundary value problems for impulsive fractional differential equations. Moreover, s...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/143955 |
| _version_ | 1811690995148914688 |
|---|---|
| author | Liu, Yuji Wong, Patricia J. Y. |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Liu, Yuji Wong, Patricia J. Y. |
| author_sort | Liu, Yuji |
| collection | NTU |
| description | We present a new method to convert the boundary value problems for impulsive fractional differential equations involving Caputo fractional derivatives to integral equations. This method is used to solve a classes of boundary value problems for impulsive fractional differential equations. Moreover, some new results on the existence of solutions of anti-periodic boundary value problems for impulsive fractional differential systems are established (see Sect. 3). Our analysis relies on the well known Schauder’s fixed point theorem. Some examples and comments on recent published papers are given to illustrate the differences between our main theorems and known results. |
| first_indexed | 2024-10-01T06:12:51Z |
| format | Journal Article |
| id | ntu-10356/143955 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:12:51Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1439552020-10-05T02:52:13Z Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives Liu, Yuji Wong, Patricia J. Y. School of Electrical and Electronic Engineering Science::Mathematics Impulsive Fractional Differential System Anti-periodic Boundary Value Problem We present a new method to convert the boundary value problems for impulsive fractional differential equations involving Caputo fractional derivatives to integral equations. This method is used to solve a classes of boundary value problems for impulsive fractional differential equations. Moreover, some new results on the existence of solutions of anti-periodic boundary value problems for impulsive fractional differential systems are established (see Sect. 3). Our analysis relies on the well known Schauder’s fixed point theorem. Some examples and comments on recent published papers are given to illustrate the differences between our main theorems and known results. 2020-10-05T02:52:12Z 2020-10-05T02:52:12Z 2017 Journal Article Liu, Y., & Wong, P. J. Y. (2018). Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives. Boletín de la Sociedad Matemática Mexicana, 24(2), 393–425. doi:10.1007/s40590-017-0170-x 2296-4495 https://hdl.handle.net/10356/143955 10.1007/s40590-017-0170-x 2 24 393 425 en Boletín de la Sociedad Matemática Mexicana © 2017 Sociedad Matemática Mexicana. All rights reserved. |
| spellingShingle | Science::Mathematics Impulsive Fractional Differential System Anti-periodic Boundary Value Problem Liu, Yuji Wong, Patricia J. Y. Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives |
| title | Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives |
| title_full | Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives |
| title_fullStr | Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives |
| title_full_unstemmed | Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives |
| title_short | Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives |
| title_sort | recent studies on boundary value problems for impulsive fractional differential systems involving caputo fractional derivatives |
| topic | Science::Mathematics Impulsive Fractional Differential System Anti-periodic Boundary Value Problem |
| url | https://hdl.handle.net/10356/143955 |
| work_keys_str_mv | AT liuyuji recentstudiesonboundaryvalueproblemsforimpulsivefractionaldifferentialsystemsinvolvingcaputofractionalderivatives AT wongpatriciajy recentstudiesonboundaryvalueproblemsforimpulsivefractionaldifferentialsystemsinvolvingcaputofractionalderivatives |