TY - JOUR
T1 - The Modified Fractional Power Series Method for Solving Fractional Non-isothermal Reaction–Diffusion Model Equations in a Spherical Catalyst
AU - Syam, Muhammed I.
AU - Anwar, Mohamed Naim Yehia
AU - Yildirim, Ahmet
AU - Syam, Mahmmoud M.
N1 - Publisher Copyright:
© 2019, Springer Nature India Private Limited.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - 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 α approaches to 1 and comparing our results with other methods in the literature when α= 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.
AB - 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 α approaches to 1 and comparing our results with other methods in the literature when α= 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.
KW - Fractional non-isothermal reaction–diffusion model equations in a spherical catalyst
KW - Modified fractional power series method
KW - Nonlinear boundary value problem
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U2 - 10.1007/s40819-019-0624-0
DO - 10.1007/s40819-019-0624-0
M3 - Article
AN - SCOPUS:85075513063
SN - 2349-5103
VL - 5
JO - International Journal of Applied and Computational Mathematics
JF - International Journal of Applied and Computational Mathematics
IS - 2
M1 - 38
ER -