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

Baleanu, DumitruBaleanu, DumitruMousalou, AsefRezapour, Shahram2023-02-072023-02-072018Baleanu, 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://hdl.handle.net/20.500.12416/6116We 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 <= sigma < 1 on C-R[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/s13662-018-1696-6