Existence results for nonlinear fractional differential equations involving different Riemann-Liouville fractional derivatives

Advances in Difference Equations

Lihong Zhang¹  Guotao Wang¹  Sanyang Liu⁴  Dumitru Baleanu⁵ 

[1] Department of Applied Mathematics, Xidian University, Xi’Department of Mathematics, Faculty of Art and Sciences, Balgat, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania;an, People’s Republic of China

关键词: different fractional-order;    nonlinear fractional differential equations;    Riemann-Liouville derivative;    monotone iterative technique;   

DOI  :  10.1186/1687-1847-2013-280

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By applying an iterative technique, a necessary and sufficient condition is obtained for the existence of the unique solution of nonlinear fractional differential equations involving two Riemann-Liouville derivatives of different fractional orders. Finally, an example is also given to illustrate the availability of our main results.

【 授权许可】

CC BY