Chordomas are rare primary bone tumors arising from embryonic remnants of the notochord. They are slow-growing, locally aggressive, and destructive and typically involve the axial skeleton. Genetic studies have identified several mutations implicated in the pathogenesis of these tumors. Treatment poses a challenge given their insidious progression, degree of local invasion at presentation, and ...

Regular and singular perturbations of fractional ordinary differential equations (fODEs) are considered. This is likely the first attempt to describe these problems. Similarities and differences between these cases and the analogous ones for classical (integer-order) differential equations are pointed out. Examples, including the celebrated Bagley-Torvik equations are discussed. Asymptotic-nume...

Martin, E. C., P. F. Doherty, Jr., K. A. Jochum, and C. Bagley. 2022. Abundance habitat use estimates show Lesser Yellowlegs (Tringa flavipes) breed in high numbers interior Alaska. Avian Conservation Ecology 17(1):8. https://doi.org/10.5751/ACE-02012-170108

In this paper the Bagley-Torvik equation as a prototype fractional differential equation with two derivatives is investigated by means of homotopy perturbation method. The results reveal that the present method is very effective and accurate.

Interview with Prof. Nicholas Bagley on the Supreme Court’s decision in California v. Texas (12:46)Download In June, U.S. Court rejected what will probably be last major case seeking to uproot ACA. The most likely marks an end Republicans’ efforts achieve courts they have been unable Congress.

A numerical technique for Volterra functional integral equations (VFIEs) with non-vanishing delays and fractional Bagley-Torvik equation is displayed in this work. The depends on Bernstein polynomial approximation. Numerical examples are utilized to evaluate the accurate results. findings figs tables show that simple use.

In this paper, we propose the spectral collocation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo's H-differentiability sense with order ($1< nu < 2$). We define the fuzzy Caputo's H-differentiability sense with order $nu$ ($1< nu < 2$), and employ the collocation RBF method for upper and lower approximate solutions. ...