Sofiane Mahmoudi, Saada Hamouda

Infinite Order of Growth of Solutions to Linear Fractional Differential Equations with Entire Coefficients

In this paper, we investigate the growth of solutions of certain class of linear fractional differential equations with entire coefficients by using the Caputo fractional derivative operator. Under some conditions, we prove that every non-trivial solution is of infinite order.

Mathematics Subject Classification: 34M10, 26A33

Key words and phrases: Linear fractional differential equations, growth of solutions, Caputo fractional derivative operator