Stability Results of Some Fractional Neutral Integrodifferential Equations with Delay

Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay

We study the solvability of the fractional integrodifferential equations of neutral type with infinite delay in a Banach space X. An existence result of mild solutions to such problems is obtained under the conditions in respect of Kuratowski's measure of noncompactness. As an application of the abstract result, we show the existence of solutions for an integrodifferential equation.

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay

Lyapunov stability solutions of fractional integrodifferential equations

Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x (α) (t) = f (t, x(t)) + t t 0 K(t, s, x(s))ds, 0 < α ≤ 1, with the initial condition x (α−1) (t 0) = x 0 , have been investigated. Our methods are applications of Gronwall's lemma and Schwartz inequality.

Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay

Nonlocal cauchy problem for delay fractional integrodifferential equations of neutral type

Correspondence: fangli860@gmail. com School of Mathematics, Yunnan Normal University, Kunming 650092, People’s Republic of China Abstract This article concerns the existence of mild solutions for the fractional integrodifferential equations of neutral type with finite delay and nonlocal conditions in a Banach space X. The existence of mild solutions is proved by means of measure of noncompactne...