24 citations · 25 across the 4 of their papers we have counts for
4 papers
Distributional framework for solving fractional differential equations
Teodor M. Atanackovic, Ljubica Oparnica, Stevan Pilipovic
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 solutions for the Euler-Bernoulli model with distributional forces
Günther Hörmann, Ljubica Oparnica
We establish existence and uniqueness of generalized solutions to the initial-boundary value problem corresponding to an Euler-Bernoulli beam model from mechanics. The governing pa…
Semilinear ordinary differential equation coupled with distributed order fractional differential equation
Teodor M. Atanackovic, Ljubica Oparnica, Stevan Pilipovic
System of semilinear ordinary differential equation and fractional differential equation of distributed order is investigated and solved in a mild and classical sense. Such a syste…
Distributional solution concepts for the Euler-Bernoulli beam equation with discontinuous coefficients
Guenther Hoermann, Ljubica Oparnica
We study existence and uniqueness of distributional solutions to the differential equation of the Euler-Bernoulli rod with discontinuous coefficients and right-hand side. Upon chec…