Baleanu, DumitruAgheli, BahramAl Qurashi, Maysaa Mohamed2018-09-262018-09-262016Baleanu, 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/10.1177/16878140166833051687-8140http://hdl.handle.net/20.500.12416/1791In 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.eninfo:eu-repo/semantics/openAccessFractional Integral OperatorsCaputo DerivativeCaputo-Fabrizio DerivativeVHPIQ-Homotopic Analysis MethodArticle81210.1177/1687814016683305