This work proposes a valuable and successful strategy for approximating the solutions to Bagley–Torvik system, which plays an essential role in fractional calculus. The Caputo sense is used derive basic conformable fractional. problem numerically solved this study using effective symmetric projection method. From symmetry, there are some interesting original results. proposed approach has two k...

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 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...

Stein Kaasa Faculty of Medicine, Norwegian University of Science and Technology, Trondheim and Department of Oncology, St. Olavs University Hospital, Trondheim, Karin Torvik Department of Nursing, College of Higher Eduction, Oslo, Nathan Cherny Department of Oncology, Shaare Zedek Medical Center, Jerusalem, Geoffrey Hanks Department of Palliative Medicine, Bristol Haematology and Oncology Centr...