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

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 de...

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Bibliographic Details
Published inMathematics and computers in simulation Vol. 220; pp. 462 - 480
Main Authors Sivalingam, S M, Kumar, Pushpendra, Trinh, Hieu, Govindaraj, V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2024
Subjects
Error estimation
Generalized-Caputo derivative
L1 difference scheme
Stability
Stability
Error estimation
L1 difference scheme
Generalized-Caputo derivative
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Summary: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.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2024.01.017