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Solution of equations with q-derivatives and Ward’s derivatives using an operational method

Solution of equations with q-derivatives and Ward’s derivatives using an operational method

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 …