A fractional multi-wavelet basis in Banach space and solving fractional delay differential equations
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, we construct a fractional multi-wavelet basis based on Legendre polynomials to solve fractional delay linear and nonlinear differential equations. For this we introduce an orthonormal fractional basis for Banach space L2[0,1] with suitable inner product which make it effective to decrease computational operations and increase accuracy to find approximate solution of the equations. Also, solving fractional problems by orthogonal basis such as Legendre polynomials has a lower accuracy in comparison with fractional basis. Finally, some examples are solved to show the high accuracy of the presented method, and also to compare with some other works. © 2024
Açıklama
Anahtar Kelimeler
Caputo Fractional Derivative, Fractional Delay Differential Equations, Fractional Multi-wavelet, Legendre Polynomials, Riemann–Liouville İntegral
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
186
Sayı
Künye
Savadkoohi, F. R., Rabbani, M., Allahviranloo, T., & Malkhalifeh, M. R. (2024). A fractional multi-wavelet basis in Banach space and solving fractional delay differential equations. Chaos, Solitons & Fractals, 186, 115313.
