Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations

Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations

Abstract In this study, a wavelet method is developed to solve a system of nonlinear variable-order (V-O) fractional integral equations using the Chebyshev wavelets (CWs) and the Galerkin method. For this purpose, we derive a V-O fractional integration operational matrix (OM) for CWs and use it in o...

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Bibliographic Details
Main Authors: Y. Yang, M. H. Heydari, Z. Avazzadeh, A. Atangana
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Chebyshev wavelets (CWs)
Variable-order (V-O) fractional integral equations
Galerkin method
Operational matrix (OM)
Hat functions
Online Access:http://link.springer.com/article/10.1186/s13662-020-03047-4

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