A Study on Fractional Diffusion-Wave Equation with a Reaction

被引：0
|
作者：
Abuomar, Mohammed M. A. [1 ]
Syam, Muhammed, I [2 ]
Azmi, Amirah [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Minden 11800, Penang, Malaysia
[2] UAE Univ, Coll Sci, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 08期
关键词：
diffusion-wave equation; Laplace fractional series method; reactions; LAGUERRE POLYNOMIAL APPROACH; CALCULUS; MODEL;
D O I：
10.3390/sym14081537
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
An analytical method for solving the fractional diffusion-wave equation with a reaction is investigated. This approach is based on the Laplace transform and fractional series method. An analytical derivation for the proposed method is presented. Examples are given to illustrate the efficiency of the method. The obtained solutions are very close to the exact solutions. Based on this study, we think that the obtained method is promising, and we hope that it can be implemented to other physical problems.
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页数：10
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