典型文献
Numerical scheme to solve a class of variable-order Hilfer-Prabhakar fractional differential equations with Jacobi wavelets polynomials
文献摘要:
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.
文献关键词:
中图分类号:
作者姓名:
B.Bagherzadeh Tavasani;A.H.Refahi Sheikhani;H.Aminikhah
作者机构:
Department of Applied Mathematics,Faculty of Mathematical Sciences,Lahijan Branch,Is-lamic Azad University,Lahijan,Iran;Department of Applied Mathematics and Computer Science,Faculty of Mathematical Sci-ences,University of Guilan,Rasht,Iran
文献出处:
引用格式:
[1]B.Bagherzadeh Tavasani;A.H.Refahi Sheikhani;H.Aminikhah-.Numerical scheme to solve a class of variable-order Hilfer-Prabhakar fractional differential equations with Jacobi wavelets polynomials)[J].高校应用数学学报B辑(英文版),2022(01):35-51
A类:
Prabhakar
B类:
Numerical,scheme,solve,class,variable,order,Hilfer,fractional,differential,equations,Jacobi,wavelets,polynomials,In,this,paper,we,introduced,numerical,approach,solving,type,derivative,proposed,method,collocation,According,operational,matrix,constructed,We,use,reduce,solution,linear,sys,tem,algebraic,Theoretical,considerations,are,discussed,Finally,some,examples,presented,demonstrate,accuracy
AB值:
0.515175
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