Mousalou, AsefRezapour, ShahramBaleanu, Dumitru2023-02-072025-09-182023-02-072025-09-182018Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram (2018). "The extended fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and the existence of solutions for two higher-order series-type differential equations", Advances in Difference Equations.1687-1847https://doi.org/10.1186/s13662-018-1696-6https://hdl.handle.net/20.500.12416/13745We extend the fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-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.eninfo:eu-repo/semantics/openAccessThe Extended Caputo-Fabrizio Derivative Of Order 0 <= Sigma < 1Higher-Order Fractional Differential EquationSeries-Type EquationThe Extended Fractional Caputo-Fabrizio Derivative of Order 0 ≤ Σ < 1 on Cr[0,1] and the Existence of Solutions for Two Higher-Order Series-Type Differential EquationsThe extended fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and the existence of solutions for two higher-order series-type differential equationsArticle10.1186/s13662-018-1696-62-s2.0-85050550443