TY - EJOU
AU - Taha, Mahmoud H.
AU - Ramadan, Mohamed A.
AU - Baleanu, Dumitru
AU - Moatimid, Galal M.
TI - A Novel Analytical Technique of the Fractional Bagley-Torvik Equations for Motion of a Rigid Plate in Newtonian Fluids
T2 - Computer Modeling in Engineering \& Sciences
PY - 2020
VL - 124
IS - 3
SN - 1526-1506
AB - The current paper is concerned with a modified Homotopy perturbation
technique. This modification allows achieving an exact solution of an initial value
problem of the fractional differential equation. The approach is powerful, effective, and promising in analyzing some classes of fractional differential equations
for heat conduction problems and other dynamical systems. To crystallize the new
approach, some illustrated examples are introduced.
KW - Bagleyâ€“Torvik equation; caputo sense; Riemannâ€“Liouville integral; fractional differential equation
DO - 10.32604/cmes.2020.010942