The motion differential equation of hydro-pneumatic suspension is established to describe the vibration characteristics for a certain type construction vehicle. output force was deduced from parameters. Based on multi-phase medium, fractional calculus theory introduced, and its Bagley–Torvik formed. numerical computation by low-pass filter Oustaloup algorithm performed. solution nonlinear obtai...

In this paper, we formulate an efficient algorithm based on a new iterative method for the numerical solution of Bagley-Torvik equation. The fractional differential equation arises in many areas applied mathematics including viscoelasticity problems and mechanics oscillation process. We construct derivatives via Caputo-type operator to three-step using MAPLE 18 software package. further investi...

In this paper Chebyshev wavelet and their properties are employed for deriving Chebyshev wavelet operational matrix of fractional derivatives and a general procedure for forming this matrix is introduced. Then Chebyshev wavelet expansion along with this operational matrix are used for numerical solution of Bagley-Torvik boundary value problems. The error analysis and convergence properties of t...