Please use this identifier to cite or link to this item:
https://dspace.iiti.ac.in/handle/123456789/6680
Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Vijesh, Antony | en_US |
| dc.date.accessioned | 2022-03-17T01:00:00Z | - |
| dc.date.accessioned | 2022-03-21T10:50:10Z | - |
| dc.date.available | 2022-03-17T01:00:00Z | - |
| dc.date.available | 2022-03-21T10:50:10Z | - |
| dc.date.issued | 2016 | - |
| dc.identifier.citation | Vijesh, V. A. (2016). A short note on the quasilinearization method for fractional differential equations. Numerical Functional Analysis and Optimization, 37(9), 1158-1167. doi:10.1080/01630563.2016.1188827 | en_US |
| dc.identifier.issn | 0163-0563 | - |
| dc.identifier.other | EID(2-s2.0-84986917904) | - |
| dc.identifier.uri | https://doi.org/10.1080/01630563.2016.1188827 | - |
| dc.identifier.uri | https://dspace.iiti.ac.in/handle/123456789/6680 | - |
| dc.description.abstract | Recent literature shows that for certain classes of fractional differential equations the monotone iterative technique fails to guarantee the quadratic convergence of the quasilinearization method. The present work proves the quadratic convergence of the quasilinearization method and the existence and uniqueness of the solution of such a class of fractional differential equations. Our analysis depends upon the classical Kantorovich theorem on Newton's method. Various examples are discussed in order to illustrate our approach. © 2016, Copyright © Taylor & Francis Group, LLC. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor and Francis Inc. | en_US |
| dc.source | Numerical Functional Analysis and Optimization | en_US |
| dc.subject | Differential equations | en_US |
| dc.subject | Newton-Raphson method | en_US |
| dc.subject | Riccati equations | en_US |
| dc.subject | Existence and uniqueness | en_US |
| dc.subject | Fractional derivatives | en_US |
| dc.subject | Fractional differential equations | en_US |
| dc.subject | Fractional order | en_US |
| dc.subject | Monotone iterative techniques | en_US |
| dc.subject | Newton's methods | en_US |
| dc.subject | Quasi-linearization | en_US |
| dc.subject | Quasi-linearization methods | en_US |
| dc.subject | Iterative methods | en_US |
| dc.title | A Short Note on the Quasilinearization Method for Fractional Differential Equations | en_US |
| dc.type | Journal Article | en_US |
| Appears in Collections: | Department of Mathematics | |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
Altmetric Badge: