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A new method for constructing exact solutions for a time-fractional differential equation. (English) Zbl 07159291
Summary: In the present paper, the process of finding new solutions from previous solutions of a given fractional differential equation (FDE) is considered. For this issue, first we should construct an exact solution by using the symmetry operators of the equation. Then, the commutator brackets of the obtained operators give new solutions from old ones via a systematic method.
34A08 Fractional ordinary differential equations and fractional differential inclusions
34C14 Symmetries, invariants of ordinary differential equations
34A05 Explicit solutions, first integrals of ordinary differential equations
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