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http://hdl.handle.net/10362/158000| Title: | Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method |
| Author: | Bengochea, Gabriel Verde-Star, Luís Ortigueira, Manuel |
| Keywords: | Operational calculus q-calculus Ward’s calculus Mathematics(all) |
| Issue Date: | 2022 |
| Citation: | Bengochea, G., Verde-Star, L., & Ortigueira, M. (2022). Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method. Filomat, 36(5), 1487-1498. https://doi.org/10.2298/FIL2205487B |
| Abstract: | We show that several types of differential equations that involve q-derivatives, Fibonacci deriva-tives, and other Ward’s derivatives, can be solved by an algebraic operational method that does not use integrals nor integral transforms. We deal with extensions of the Ward’s derivatives that can be applied to formal Laurent series. Several examples of linear and nonlinear equations are presented. |
| Description: | Funding Information: 2020 Mathematics Subject Classification. Primary 44A40, 34A06, 39A13 Keywords. Operational calculus; q-calculus; Ward’s calculus Received: 10 May 2021; Accepted: 26 October 2021 Communicated by Hari M. Srivastava Corresponding author: Gabriel Bengochea. Email addresses: gabriel.bengochea@uacm.edu.mx (Gabriel Bengochea), verde@xanum.uam.mx (Luis Verde-Star), mdo@fct.unl.pt (Manuel Ortigueira) Publisher Copyright: © 2022, University of Nis. All rights reserved. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10362/158000 |
| DOI: | https://doi.org/10.2298/FIL2205487B |
| ISSN: | 0354-5180 |
| Appears in Collections: | FCT: DEE - Artigos em revista internacional com arbitragem científica |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 0354_51802205487B.pdf | 226,16 kB | Adobe PDF | View/Open |
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