RT journal article
T1 A new version of L1-Predictor-Corrector method to solve multiple delay-type fractional order systems with the example of a neural network model
A1 Kumar, Pushpendra
A1 Ertuk, V. S.
A1 Murillo Arcila, Marina
A1 Venkatesan, Govindaraj
A2 Matemáticas
K1 Neural Networks
K1 Delay-Type Mathematical Model
K1 Caputo Fractional Derivative
K1 L1-Predictor–Corrector Method
K1 Graphical Simulations
AB In this paper, we derive a new version of L1-Predictor–Corrector (L1-PC) method by using some previously given methods (L1-PC for single delay, PC for non-delay, and decomposition algorithm) to solve multiple delay-type fractional differential equations. The Caputo fractional derivative with singular type kernel is used to establish the results. Some important remarks related to the delay term estimation and error analysis are mentioned. In order to check the accuracy and correctness of our method, we solve a neural network system with two delay parameters. A number of graphs are given to justify the role of delays as well as the accuracy of the algorithm. The given method is fully novel and reliable to solve multiple delay type fractional order systems in Caputo sense.
PB World Scientific
YR 2023
FD 2023
LK http://hdl.handle.net/10498/35320
UL http://hdl.handle.net/10498/35320
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026