Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials

Advances in Difference Equations

Eisa AkbariKojabad¹  Shahram Rezapour¹ 

[1] Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

关键词: approximate fixed point;    Chebyshev polynomial;    Legendre polynomial;    numerical solution;    sum-type fractional integro-differential equation;    26A33;    34A08;    34K37;   

DOI  :  10.1186/s13662-017-1404-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We investigate the existence of solutions for a sum-type fractional integro-differential problem via the Caputo differentiation. By using the shifted Legendre and Chebyshev polynomials, we provide a numerical method for finding solutions for the problem. In this way, we give some examples to illustrate our results.

【 授权许可】

CC BY