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...

This paper analyzes the behavior of the Argentine biscuit market during 2003-06 to find out whether any important merger occurred in October 2004 (the Arcor/Bagley merger) had any discernible market power or cost reduction effects. This paper presents an econometric demand-and-supply model in which it treats the biscuits supplied by the main producers as different products. The results show tha...

In this paper, Bernoulli wavelets are presented for solving (approximately) fractional differential equations in a large interval. Bernoulli wavelets operational matrix of fractional order integration is derived and utilized to reduce the fractional differential equations to system of algebraic equations. Numerical examples are carried out for various types of problems, including fractional Van...

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...

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 ...

Intracerebral hematoma is a fairly frequently occurring condition and a comprehensive review of the incidence, etiology, and treatment of this type of hematoma has been presented by Craig and Adson.' Although as early as 1903 Cushing4 reported the successful evacuation of an intracerebral dot, only sporadically since then have cases of successful surgical treatment of this type of hematoma been...