Generalized squared remainder minimization method for solving multi-term fractional differential equations

Nonlinear Analysis

Mustafa Inc¹  Mir Sajjad Hashemi²  Somayeh Hajikhah² 

[1] Firat University;University of Bonab;

关键词: squared remainder minimization method;    Lagrange-multiplier method;    multi-term fractional differential equation;   

DOI  :  10.15388/namc.2021.26.20560

来源: DOAJ

【 摘 要 】

In this paper, we introduce a generalization of the squared remainder minimization method for solving multi-term fractional differential equations. We restrict our attention to linear equations. Approximate solutions of these equations are considered in terms of linearly independent functions. We change our problem into a minimization problem. Finally, the Lagrange-multiplier method is used to minimize the resultant problem. The convergence of this approach is discussed and theoretically investigated. Some relevant examples are investigated to illustrate the accuracy of the method, and obtained results are compared with other methods to show the power of applied method.

【 授权许可】

Unknown