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Some Results on the q-Calculus and Fractional q-Differential Equations
| Content Provider | MDPI |
|---|---|
| Author | Sheng, Ying Zhang, Tie |
| Copyright Year | 2021 |
| Description | In this paper, we first discuss some important properties of fractional q-calculus. Then, based on these properties and the q-Laplace transform, we translate a class of fractional q-differential equations into the equivalent q-differential equations with integer order. Thus, we propose a method for solving some linear fractional q-differential equations by means of solving the corresponding integer order equations. Several examples are provided to illustrate our solution method. |
| Starting Page | 64 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math10010064 |
| Journal | Mathematics |
| Issue Number | 1 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2021-12-25 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Fractional Q-calculus the Fractional Q-differential Equations Equivalency Theorem Solution Method |
| Content Type | Text |
| Resource Type | Article |
