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Fractional advection differential equation within Caputo and Caputo-Fabrizio derivatives

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Date

2016

Authors

Baleanu, Dumitru
Agheli, Bahram
Al Qurashi, Maysaa Mohamed

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Sage Publications Ltd

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Abstract

In this research, we applied the variational homotopic perturbation method and q-homotopic analysis method to find a solution of the advection partial differential equation featuring time-fractional Caputo derivative and time-fractional Caputo-Fabrizio derivative. A detailed comparison of the obtained results was reported. All computations were done using Mathematica.

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Keywords

Fractional Integral Operators, Caputo Derivative, Caputo-Fabrizio Derivative, VHPI, Q-Homotopic Analysis Method

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Citation

Baleanu, D., Agheli, B., Al Qurashi, M.M. (2016). Fractional advection differential equation within Caputo and Caputo-Fabrizio derivatives. Advances In Mechanical Engineering, 8(12). http://dx.doi.org/10.1177/1687814016683305

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Source

Advances In Mechanical Engineering

Volume

8

Issue

12

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