The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we study the fractional non-isothermal reaction–diffusion model equations in a spherical catalyst. The modified fractional power series method (MFPS) is employed to compute an approximation to the solution of this problem. The validity of the MFPS is ascertained by computing the solutions as ? approaches to 1 and comparing our results with other methods in the literature when ?= 1. The numerical results show the efficiency of our method. The existences of the solution is proved. In addition, the convergent of the proposed method is investigated. The influences of the main parameters in the model on the solution are discussed. © 2019, Springer Nature India Private Limited.

Açıklama

Anahtar Kelimeler

Fractional non-isothermal reaction–diffusion model equations in a spherical catalyst, Modified fractional power series method, Nonlinear boundary value problem

Kaynak

International Journal of Applied and Computational Mathematics

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

5

Sayı

2

Künye