Geodesic
Solution of equations with q-derivatives and Ward's derivatives using an operational method
Filomat, Tome 36 (2022) no. 5, p. 1487

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DOI

We show that several types of differential equations that involve q-derivatives, Fibonacci derivatives , 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.
DOI : 10.2298/FIL2205487B
Classification : 44A40, 34A06, 39A13
Keywords: Operational calculus, q-calculus, Ward’s calculus 
Gabriel Bengochea; Luis Verde-Star; Manuel Ortigueira. Solution of equations with q-derivatives and Ward's derivatives using an operational method. Filomat, Tome 36 (2022) no. 5, p. 1487 . doi: 10.2298/FIL2205487B
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     author = {Gabriel Bengochea and Luis Verde-Star and Manuel Ortigueira},
     title = {Solution of equations with q-derivatives and {Ward's} derivatives using an operational method},
     journal = {Filomat},
     pages = {1487 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205487B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205487B/}
}
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