Publicação
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method
| Resumo: | 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. |
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| Autores principais: | Bengochea, Gabriel |
| Outros Autores: | Verde-Star, Luís; Ortigueira, Manuel |
| Assunto: | Operational calculus q-calculus Ward’s calculus General Mathematics |
| Ano: | 2022 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade Nova de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório Institucional da UNL |
| Resumo: | 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. |
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