Demonstrates growth orders of solutions in linear fractional differential equations, indicating implications for mathematical theory.
In this paper, we study the possible orders of growth of solutions to certain class of linear fractional differential equations with polynomial coefficients. For that, we use the Nevanlinna theory in complex domain, the generalized Wiman-Valiron theorem in the fractional calculus and the Caputo fractional derivatives. Several illustrative examples are given.
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Hamouda et al. (2025) studied this question.
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