@article{baafb9ee6fd44062a48403021d4dd7c1,
title = "Solution of Equations with q-Derivatives and Ward{\textquoteright}s Derivatives Using an Operational Method",
abstract = "We show that several types of differential equations that involve q-derivatives, Fibonacci deriva-tives, and other Ward{\textquoteright}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{\textquoteright}s derivatives that can be applied to formal Laurent series. Several examples of linear and nonlinear equations are presented.",
keywords = "Operational calculus, q-calculus, Ward{\textquoteright}s calculus",
author = "Gabriel Bengochea and Lu{\'i}s Verde-Star and Manuel Ortigueira",
note = "info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00066%2F2020/PT# Funding Information: 2020 Mathematics Subject Classification. Primary 44A40, 34A06, 39A13 Keywords. Operational calculus; q-calculus; Ward{\textquoteright}s calculus Received: 10 May 2021; Accepted: 26 October 2021 Communicated by Hari M. Srivastava Corresponding author: Gabriel Bengochea. Email addresses:
[email protected] (Gabriel Bengochea),
[email protected] (Luis Verde-Star),
[email protected] (Manuel Ortigueira) Publisher Copyright: {\textcopyright} 2022, University of Nis. All rights reserved.",
year = "2022",
doi = "10.2298/FIL2205487B",
language = "English",
volume = "36",
pages = "1487--1498",
journal = "Filomat",
issn = "0354-5180",
publisher = "Universitet of Nis",
number = "5",
}