A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations

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Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

This paper proposes a novel L1 -based predictor-corrector method for the fractional differential equations involving generalized-Caputo type derivative. A decomposition scheme is used to obtain the three-point predictor-corrector formula. The error and stability of the proposed method are given in detail. A computer virus and a five-dimensional Hopfield neural network models are solved using the proposed approach.

Description

S M, Sivalingam/0000-0003-0818-9007; Kumar, Pushpendra/0000-0002-7755-2837

Keywords

L1 difference scheme, Stability, Error estimation, Generalized-Caputo derivative

Turkish CoHE Thesis Center URL

WoS Q

Q1

Scopus Q

Q1

Source

Volume

220

Issue

Start Page

462

End Page

480