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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
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)

Creator
Kaur, Harpreet
Kaur, Amanpreet
Singh, Palwinder

DOI
10.1515/nleng-2022-0380
URN
urn:nbn:de:101:1-2406051735224.545334342976
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 11:01 AM CEST

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Associated

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

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