A New Numerical Approach for Solving the Fractional Nonlinear Multi-pantograph Delay Differential Equations
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Int Publ Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The numerical solution of the fractional nonlinear multi-pantograph delay differential equations is investigated by a new class of polynomials. These polynomials are equipped with an unknown auxiliary parameter a, which is obtained by using the collocation and least-squares methods. In this paper, the numerical solution of the fractional nonlinear multi-pantograph delay differential equation is displayed in the truncated series form. The existence and uniqueness of the solution and the error analysis are also investigated in this article. In four examples, the numerical results of the present method have been compared with other methods. For the first time, a-polynomials are used in this article to numerically solve the fractional nonlinear multi-pantograph delay differential equations, and accurate approximations have been displayed.
Açıklama
Anahtar Kelimeler
Fractional Multi-Pantograph Delay Differential Equations, Collocation Method, Caputo Fractional Derivative
Kaynak
Iranian Journal of Science
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
47
Sayı
3
