A Novel Technique for Solving the Nonlinear Fractional-Order Smoking Model

被引:5
作者
Djaouti, Abdelhamid Mohammed [1 ]
Khan, Zareen A. [2 ]
Liaqat, Muhammad Imran [3 ]
Al-Quran, Ashraf [1 ]
机构
[1] King Faisal Univ, Fac Sci, Dept Math & Stat, Al Hufuf 31982, Saudi Arabia
[2] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[3] Govt Coll Univ, Abdus Salam Sch Math Sci, 68-B New Muslim Town, Lahore 54600, Pakistan
关键词
Caputo derivative; Elzaki residual power series method; approximate solutions; fractional nonlinear smoking model;
D O I
10.3390/fractalfract8050286
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the study of biological systems, nonlinear models are commonly employed, although exact solutions are often unattainable. Therefore, it is imperative to develop techniques that offer approximate solutions. This study utilizes the Elzaki residual power series method (ERPSM) to analyze the fractional nonlinear smoking model concerning the Caputo derivative. The outcomes of the proposed technique exhibit good agreement with the Laplace decomposition method, demonstrating that our technique is an excellent alternative to various series solution methods. Our approach utilizes the simple limit principle at zero, making it the easiest way to extract series solutions, while variational iteration, Adomian decomposition, and homotopy perturbation methods require integration. Moreover, our technique is also superior to the residual method by eliminating the need for derivatives, as fractional integration and differentiation are particularly challenging in fractional contexts. Significantly, our technique is simpler than other series solution techniques by not relying on Adomian's and He's polynomials, thereby offering a more efficient way of solving nonlinear problems.
引用
收藏
页数:21
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