An approximate method for solving fractional partial differential equation by using an embedding process

被引：0
|
作者：
Ziaei, E. [1 ]
Farahi, M. H. [1 ,2 ]
Ahmadian, A. [3 ]
Senu, N. [3 ]
Salahshour, S. [4 ]
机构：
[1] Salman Inst Higher Educ, Mashhad, Razavi Khorasan, Iran
[2] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Razavi Khorasan, Iran
[3] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Upm, Malaysia
[4] Islamic Azad Univ, Mobarakeh Branch, Young Researchers & Elite Club, Mobarakeh, Iran
来源：
3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS | 2018年 / 1132卷
关键词：
D O I：
10.1088/1742-6596/1132/1/012060
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, solving of fractional partial differential equation (FPDE) with optimal time control approach is developed. Conformable derivative as a new definition of fractional derivative is considered. At first the (FPDE) with stationary regime is converted to optimal time control problem, then by using an embedding process, the obtained system is converted to finite-dimensional linear programming (LP) problem and finally optimal time corresponded by (FPDE) system is approximated. For example, this method is used on the conformable fractional heat equation with the initial and boundary conditions.
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页数：8
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