Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Caputo-Hadamard-type fractional calculus involves the logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenges in numerical approximations. In this paper, we construct and analyze a spectral collocation approach using mapped Jacobi functions as basis functions and construct an efficient algorithm to solve systems of fractional pantograph delay differential equations involving Caputo-Hadamard fractional derivatives. What we study is the error estimates of the derived method. In addition, we tabulate numerical results to support our theoretical analysis.
Açıklama
Anahtar Kelimeler
mapped Jacobi functions, spectral methods, convergence analysis, pantograph delay differential equations
Kaynak
Aims Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
9
Sayı
6