Fractional Advection Differential Equation Within Caputo and Caputo-Fabrizio Derivatives
Loading...
Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Sage Publications Ltd
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
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
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
44
Source
Advances in Mechanical Engineering
Volume
8
Issue
12
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 41
Scopus : 49
Captures
Mendeley Readers : 10
SCOPUS™ Citations
51
checked on Feb 24, 2026
Web of Science™ Citations
48
checked on Feb 24, 2026
Page Views
7
checked on Feb 24, 2026
Google Scholar™
