100 citations · 142 across the 2 of their papers we have counts for
3 papers
math-ph2015★ 100 cited
Fractional Euler-Bernoulli beams: theory, numerical study and experimental validation
Wojciech Sumelka, Tomasz Blaszczyk, Christian Liebold
In this paper the classical Euler-Bernoulli beam (CEBB) theory is reformulated utilising fractional calculus. Such generalisation is called fractional Euler-Bernoulli beams (FEBB)…
math.NA2014★ 42 cited
Numerical solution of fractional Sturm-Liouville equation in integral form
Tomasz Blaszczyk, Mariusz Ciesielski
In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $α\in \left( 0,1 \rig…
math.NA2007
A novel numerical technique used in the solution of ordinary differential equations with a mixture of integer and fractional derivatives
Jacek S. Leszczynski, Tomasz Blaszczyk
Using both fractional derivatives, defined in the Riemann-Liouville and Caputo senses, and classical derivatives of the integer order we examine different numerical approaches to o…