Some Results on the q-Calculus and Fractional q-Differential Equations
Mathematics2021Vol. 10(1), pp. 64–64
Citations Over TimeTop 23% of 2021 papers
Abstract
In this paper, we first discuss some important properties of fractional q-calculus. Then, based on these properties and the q-Laplace transform, we translate a class of fractional q-differential equations into the equivalent q-differential equations with integer order. Thus, we propose a method for solving some linear fractional q-differential equations by means of solving the corresponding integer order equations. Several examples are provided to illustrate our solution method.
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