A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations

被引：0
作者：
F. Afiatdoust
M. H. Heydari
M. M. Hosseini
机构：
[1] Shahid Bahonar University of Kerman,Faculty of Mathematics
[2] Shiraz University of Technology,Department of Mathematics
来源：
Computational and Applied Mathematics | 2023年 / 42卷
关键词：
Fractional system; Weakly singular integro-differential equations; Romberg quadrature formula; Block-by-block method; 26A33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper concentrates on providing a new approach to arrive at approximate solution of a fractional nonlinear system of weakly singular integro-differential equations. This approach has the ability to calculate several undetermined values of the problem at several grid points out of considering the starting values. The convergence of the adopted approach is investigated and it is shown that the new strategy has a high order of convergence. Some examples are considered to observe the accuracy of the established scheme.
引用
收藏
相关论文
共 64 条
[1]  
Adams E(1975)Uniqueness and stability for boundary value problems with weakly coupled systems of nonlinear integro-differential equations and application to chemical reactions J Math Anal Appl 49 393-410
[2]  
Spreuer H(2020)Existence theory and semi-analytical study of non-linear Volterra fractional integro-differential equations Alex Eng J 59 4677-4686
[3]  
Alrabaiah H(2022)SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: a meshless algorithm for the fractional diffusion equation Eng Anal Bound Elem 138 108-117
[4]  
Jamil M(2023)Glioblastoma multiforme growth prediction using a Proliferation-Invasion model based on nonlinear time-fractional 2D diffusion equation Chaos Solit Fract 170 453-477
[5]  
Shah K(2019)Solution of weakly singular fractional integro-differential equations by using a new operational approach J Comput Appl Math 352 138-150
[6]  
Khan RA(2016)Iterative refinement for a system of linear integro-differential equations of fractional type J Comput Appl Math 294 2287-2307
[7]  
Bavi O(2018)Hybrid Bernstein block-pulse functions for solving system of fractional integro-differential equations Int J Comput Math 95 37-48
[8]  
Hosseininia M(2014)Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations Commun Nonlinear Sci Numer Simul 19 116-128
[9]  
Heydari MH(1993)Global asymptotic stability for a stationary solution of a system of integro-differential equations describing the formation of liver zones SIAM J Math Anal 24 400-406
[10]  
Bavi N(2010)Block by block method for the systems of nonlinear Volterra integral equations Appl Math Model 34 1050-1063
1234567