2021
DOI: 10.3390/fractalfract5040277
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Swarm Intelligence Procedures Using Meyer Wavelets as a Neural Network for the Novel Fractional Order Pantograph Singular System

Abstract: The purpose of the current investigation is to find the numerical solutions of the novel fractional order pantograph singular system (FOPSS) using the applications of Meyer wavelets as a neural network. The FOPSS is presented using the standard form of the Lane–Emden equation and the detailed discussions of the singularity, shape factor terms along with the fractional order forms. The numerical discussions of the FOPSS are described based on the fractional Meyer wavelets (FMWs) as a neural network (NN) with th… Show more

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Cited by 8 publications
(4 citation statements)
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“…This demanded a newer way of looking at the problem and, today, we can employ evolutionary computing to evolve the architectures of ANNs in an automated fashion. This is known as a neural architecture search (NAS) [24].…”
Section: Convolutional Neural Networkmentioning
confidence: 99%
“…This demanded a newer way of looking at the problem and, today, we can employ evolutionary computing to evolve the architectures of ANNs in an automated fashion. This is known as a neural architecture search (NAS) [24].…”
Section: Convolutional Neural Networkmentioning
confidence: 99%
“…In the previous paper [24], CNN was used to determine the accurate variable measure and fault-tolerant edge dimension of stupid tripod structure. Meyer wavelet can be regarded as CNN [25]. This new CNN can find the numerical solution of fractional pantograph singular system.…”
Section: Introductionmentioning
confidence: 99%
“…Other spectral methods and recent research about numerical treatments of pantograph equations exist in Refs. [14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%