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By using the stochastic stability theory, Itô's differential formula and Young inequality, the criteria are derived.
Secondly, according to Itô differential formula and stochastic analysis scheme, a new dissipativity condition is obtained.
We applied the five-point center differential formula to derive dT/dz.
Based on Itˆo's differential formula and Lyapunov stability theory, new sufficient conditions are obtained in terms of linear matrices inequalities.
The radial basis function neural networks are used to approximate the unknown nonlinear functions obtained by using Ito differential formula and Young׳s inequality.
By using Itô's differential formula and the Lyapunov stability theory, sufficient conditions are first derived for ensuring the stability of the stochastic interval delay systems.
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Further, if we put (nu=0) in (4.6) and (4.7) then these Saigo fractional differential formulas reduce to the following fractional differential formulas.
In this study, we established some fractional differential formulas involving a family of Mittag-Leffler functions.
In this section, we establish the fractional differential formulas involving the Saigo-Meada fractional derivative operators (1.1) and (1.2).
In this section we present certain fractional differential formulas involving the extended generalized Mathieu series (S_{mu,lambda }^{(alpha, beta)}(r,a z)) by using fractional differential operators.
Similarly, putting (p=0) in Corollaries 3 and 4, we get the fractional differential formulas involving the Prabhakar-type [28] Mittag-Leffler function.
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