Some Results on the q-Calculus and Fractional q-Differential Equations
Copyright policy )Some Results on the q-Calculus and Fractional q-Differential Equations
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.
- Northeastern University China (People's Republic of)
fractional <i>q</i>-calculus; the fractional <i>q</i>-differential equations; equivalency theorem; solution method, solution method, equivalency theorem, QA1-939, fractional <i>q</i>-calculus, Mathematics, the fractional <i>q</i>-differential equations
fractional <i>q</i>-calculus; the fractional <i>q</i>-differential equations; equivalency theorem; solution method, solution method, equivalency theorem, QA1-939, fractional <i>q</i>-calculus, Mathematics, the fractional <i>q</i>-differential equations
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