Honoring A.V. Bitsadze's service to science (on his 100th birthday

The paper dedicated to Prof. Andrei Vasilievich Bitsadze (5.9.1916-4.6.1994) on the occasion of his 100th birthda

Distributional framework for solving fractional differential equations

We analyze solvability of a special form of distributed order fractional differential equations within the space of tempered distributions supported by the positive half-line

Generalized Hamilton's Principle with Fractional Derivatives

We generalize Hamilton's principle with fractional derivatives in Lagrangian L(t,y(t),{}_0D_t^\al y(t),\alpha) so that the function $y$ and the order of fractional derivative $\alpha$ are varied in the minimization procedure. We derive stationarity conditions and discuss them through several examples

An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions

In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the nonlocal boundary conditions is considered. Under some natural regularity and consistency conditions on the input data, the existence, uniqueness and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example