A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative

Advances in Difference Equations

Shahram Rezapour¹  Dumitru Baleanu²  Asef Mousalou³ 

[1] Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran;Department of Mathematics, Cankaya University, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania

关键词: approximate solution;    Caputo-Fabrizio derivative;    fractional integro-differential equation;    generalized α-contractive map;   

DOI  :  10.1186/s13662-017-1088-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We present a new method to investigate some fractional integro-differential equations involving the Caputo-Fabrizio derivation and we prove the existence of approximate solutions for these problems. We provide three examples to illustrate our main results. By checking those, one gets the possibility of using some discontinuous mappings as coefficients in the fractional integro-differential equations.

【 授权许可】

CC BY