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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

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2018

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Mousalou, Asef
Rezapour, Shahram

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Abstract

We 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.

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The Extended Caputo-Fabrizio Derivative Of Order 0 <= Sigma < 1, Higher-Order Fractional Differential Equation, Series-Type Equation

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Baleanu, 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.

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Advances in Difference Equations

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