Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26236| Title: | Fractional differential equations with mixed boundary conditions |
| Author: | Almeida, Ricardo Miguel |
| Keywords: | Fractional differential equations Fractional calculus Fixed-point theorems |
| Issue Date: | Jul-2019 |
| Publisher: | Springer |
| Abstract: | In this paper, we discuss the existence and uniqueness of solutions of a boundary value problem for a fractional differential equation of order α ∈ (2, 3), involving a general form of fractional derivative. First, we prove an equivalence between the Cauchy problem and the Volterra equation. Then, two results on the existence of solutions are proven, and we end with some illustrative examples. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/26236 |
| DOI: | 10.1007/s40840-017-0569-6 |
| ISSN: | 0126-6705 |
| Publisher Version: | https://link.springer.com/article/10.1007/s40840-017-0569-6 |
| Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [2019] Fractional Differential Equations with Mixed Boundary Conditions.pdf | 595.35 kB | Adobe PDF |  |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.