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. ...

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.

Necessary and sufficient stability instability conditions are obtained for multi-term homogeneous linear fractional differential equations with three Caputo derivatives constant coefficients. In both cases, fractional-order-dependent as well fractional-order-independent characterisations of properties obtained, in terms the coefficients equation. The theoretical results exemplified particular c...

Inspired by the paper of Fazli and Nieto in [Open Math. 17 (2019) 499–512], we establish new existence uniqueness result for a type fractional Bagley–Torvik differential equation. Reported not only generalizes previous results but also adopts different technique. We finish this study concluding remarks which discuss preference our theorem compared to results. An example is constructed with spec...

Local polynomial smoother (LPS) is a weighted local least-squares nonparametric method. It provides a local Taylor series fit of the data at any location and can be directly used in a differential equation to provide a numerical scheme. In this article, we introduce this new nonparametric idea based on local polynomial smoother, for acquiring the numerical solution of the Bagley-Torvik fraction...

Fractional calculus is a natural extension of the integer order calculus and recently, a large number of applied problems have been formulated on fractional di¤erential equations. Analytical solution of many applications, where the fractional di¤erential equations appear, cannot be established. Therefore, cubic polynomial spline function is considered to …nd approximate solution for fractional ...