Fractional Advection Differential Equation Within Caputo and Caputo-Fabrizio Derivatives
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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.
Description
Agheli, Bahram/0000-0003-2084-4158
ORCID
Keywords
Fractional Integral Operators, Caputo Derivative, Caputo-Fabrizio Derivative, Vhpim, Q-Homotopic Analysis Method, Financial economics, Economics, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Perturbation (astronomy), TJ1-1570, FOS: Mathematics, Mechanical engineering and machinery, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Time-Fractional Diffusion Equation, Physics, Fractional calculus, Statistical and Nonlinear Physics, Partial differential equation, Applied mathematics, Algorithm, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Derivative (finance), Physical Sciences, Computation, Advection, Thermodynamics, Fractional Calculus, Mathematics, Rogue Waves in Nonlinear Systems
Fields of Science
01 natural sciences, 0103 physical sciences
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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OpenCitations Citation Count
44
Volume
8
Issue
12
Start Page
1
End Page
8
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CrossRef : 41
Scopus : 51
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51
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49
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9
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