Scale-3 Haar wavelet-based method of fractal-fractional differential equations with power law kernel and exponential decay kernel

Abstract: In this study, wavelet method has been proposed to solve fractal-fractional differential equations (FFDEs) with power law kernel (FFDPL) and exponential decay kernel (FFDED). The proposed method is based on scale 3 Haar wavelets with collocation method, and fractional integral operational matrices for derivatives of Caputo and Caputo–Fabrizio sense are derived to solve FFDPL and FFDED. The applicability of the proposed method is shown by solving some numerical examples, and the obtained results are compared with available solutions in the literature. The solutions are presented in the graphical and tabular forms also.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Scale-3 Haar wavelet-based method of fractal-fractional differential equations with power law kernel and exponential decay kernel ; volume:13 ; number:1 ; year:2024 ; extent:10
Nonlinear engineering ; 13, Heft 1 (2024) (gesamt 10)

Urheber
Kaur, Harpreet
Kaur, Amanpreet
Singh, Palwinder

DOI
10.1515/nleng-2022-0380
URN
urn:nbn:de:101:1-2406051735224.545334342976
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 11:01 MESZ

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Beteiligte

  • Kaur, Harpreet
  • Kaur, Amanpreet
  • Singh, Palwinder

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