Agheli, BahramAl Qurashi, Maysaa MohamedBaleanu, Dumitru2018-09-262025-09-182018-09-262025-09-182016Baleanu, 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/10.1177/16878140166833051687-81401687-8132https://doi.org/10.1177/1687814016683305https://hdl.handle.net/20.500.12416/13124Agheli, Bahram/0000-0003-2084-4158In 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 DerivativeVhpimQ-Homotopic Analysis MethodArticle10.1177/16878140166833052-s2.0-85007354857