The extended fractional Caputo–Fabrizio derivative of order 0≤σ<1$0\leq \sigma <1$ on CR[0,1]$C_{\mathbb{R}}[0,1]$ and the existence of solutions for two higher-order series-type differential…

By Dumitru Băleanu, Asef Mousalou, Sh. Rezapour. Advances in Differential Equations, 2018

69 citations recorded by the source corpus.

We extend the fractional Caputo–Fabrizio derivative of order 0≤σ<1$0\leq \sigma <1$ on CR[0,1]$C_{\mathbb{R}}[0,1]$ and investigate two higher-order series-type fractional differential equations involving the extended derivation. Also, we provide an example to illustrate one of the main results.

Subfields: Applied Mathematics, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fd79f35a2a33fcd0632545371b84d2a2f566a5f2