Formulation of Conformable Time Fractional Differential Equation and q-HAM Solution Comparison with ADM

被引：7

作者：

Biswas, Swapan ^{[1
]}

Ghosh, Uttam ^{[2
]}

机构：

[1] Prabhu Jagatbandhu Coll, Howrah, W Bengal, India

[2] Univ Calcutta, Dept Appl Math, Kolkata, India

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2022年 / 91卷 / 04期

关键词：

D O I：

10.7566/JPSJ.91.044007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the semi-inverse method is used to obtain the Lagrangian of the regular Harry Dym (HD) equation. The classical derivatives in the obtained Lagrangian are replaced by the fractional derivatives. The fractional Euler-Lagrange equation leads to the fractional HD equation. The conformable fractional derivative is used to obtain the time fractional HD equation. The Adomians decomposition method (ADM) and q-Homotopy analysis method (q-HAM) are employed to solve the formulated fractional equation. Comparisons are made with ADM, q-HAM and the exact solutions for alpha = 1. Numerical results are demonstrated by tables and graphs for alpha = 1 and 0.9.

引用

页数：8

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