Fractional advection differential equation within Caputo and Caputo-Fabrizio derivatives
Date
2016
Authors
Baleanu, Dumitru
Agheli, Bahram
Al Qurashi, Maysaa Mohamed
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Publisher
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