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We study the Mittag-Leffler and class-K function stability of fractional differential equations with order . We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives. Two examples related to fractional-order Hopfield neural networks with constant external inputs and a marine protected area model are introduced to illustrate the applicability of stability results.

journal of mathematics

On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>α</mml:mi><mml:mo>∈</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn fontstyle="italic">1,2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>

On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2)