Numerical scheme to solve a class of variable-order Hilfer-Prabhakar fractional differential equations with Jacobi wavelets polynomials

• 作者: B.Bagherzadeh Tavasani A.H.Refahi Sheikhani H.Aminikhah
• 来源期刊: 高校应用数学学报B辑（英文版）
• 年，卷（期）: 2022,（1）
• 所属期刊栏目: Pages
• 页码范围: 35-51
• 页数: 17页
• 语种: 英文
• DOI: 10.3969/j.issn.1005-1031.2022.01.003

摘要

In this paper,we introduced a numerical approach for solving the fractional differ-ential equations with a type of variable-order Hilfer-Prabhakar derivative of order μ(t) and v(t).The proposed method is based on the Jacobi wavelet collocation method.According to this method,an operational matrix is constructed.We use this operational matrix of the fractional derivative of variable-order to reduce the solution of the linear fractional equations to the sys-tem of algebraic equations.Theoretical considerations are discussed.Finally,some numerical examples are presented to demonstrate the accuracy of the proposed method.