On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations

Advances in Difference Equations

Shahram Rezapour¹  Dumitru Baleanu²  S Melike Aydogan³  Asef Mousalou⁴ 

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

关键词: approximate fixed point;    higher-order fractional differential equation;    non-singular kernel;    Caputo-Fabrizio derivation;    34A08;    34A99;   

DOI  :  10.1186/s13662-017-1258-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations. Also, we discuss two illustrative examples to confirm the reported results. In this way one gets the possibility of utilizing some continuous or discontinuous mappings as coefficients in the fractional differential equations of higher order.

【 授权许可】

CC BY