The 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 equations

Dumitru Baleanu; Asef Mousalou; Shahram Rezapour

Journal ArticleOPEN ACCESS

The 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 equations

Baleanu D
Mousalou A
Rezapour S

Advances in Difference Equations (2018) 2018(1)

DOI: 10.1186/s13662-018-1696-6

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Abstract

We extend the fractional Caputo–Fabrizio derivative of order 0 ≤ σ< 1 on CR[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.

Author supplied keywords

Higher-order fractional differential equation
Series-type equation
The extended Caputo–Fabrizio derivative of order 0 ≤ σ< 1

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APA

Baleanu, D., Mousalou, A., & Rezapour, S. (2018). The 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 equations. Advances in Difference Equations, 2018(1). https://doi.org/10.1186/s13662-018-1696-6

The 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 equations

Abstract

Author supplied keywords

Cite

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