TY - JOUR
T1 - Fractional derivative of Hermite fractal splines on the fractional-order delayed neural networks synchronization
AU - Mohanrasu, S. S.
AU - Priyanka, T. M.C.
AU - Gowrisankar, A.
AU - Kashkynbayev, Ardak
AU - Udhayakumar, K.
AU - Rakkiyappan, R.
N1 - Publisher Copyright:
© 2024 Elsevier B.V.
PY - 2025/1
Y1 - 2025/1
N2 - The purpose of this research is twofold. First, the master–slave synchronization of fractional-order neural networks is explored with time delays using aperiodic intermittent control. Then we present a sufficient condition for master–slave synchronization of delayed fractional-order neural networks via average-width intermittent control technique. A numerical simulation is used to demonstrate the efficacy of the derived results. Second, a novel investigation of the Caputo-fractional derivative of Hermite fractal splines is accomplished. Moreover, its box counting dimension is estimated and related with the Caputo-fractional order. Additionally, we propose an image encryption algorithm utilizing the semi-tensor product (STP). The efficiency of the algorithm is evaluated through the application of statistical measures.
AB - The purpose of this research is twofold. First, the master–slave synchronization of fractional-order neural networks is explored with time delays using aperiodic intermittent control. Then we present a sufficient condition for master–slave synchronization of delayed fractional-order neural networks via average-width intermittent control technique. A numerical simulation is used to demonstrate the efficacy of the derived results. Second, a novel investigation of the Caputo-fractional derivative of Hermite fractal splines is accomplished. Moreover, its box counting dimension is estimated and related with the Caputo-fractional order. Additionally, we propose an image encryption algorithm utilizing the semi-tensor product (STP). The efficiency of the algorithm is evaluated through the application of statistical measures.
KW - Caputo-fractional derivative
KW - Hermite fractal interpolation function
KW - Intermittent control
KW - Synchronization of neural networks
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UR - http://www.scopus.com/inward/citedby.url?scp=85207260970&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2024.108399
DO - 10.1016/j.cnsns.2024.108399
M3 - Article
AN - SCOPUS:85207260970
SN - 1007-5704
VL - 140
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
M1 - 108399
ER -