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

Künye