166 citations · 363 across the 11 of their papers we have counts for
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Generalized Hamilton's Principle with Fractional Derivatives
Teodor M. Atanackovic, Sanja Konjik, Ljubica Oparnica +1
We generalize Hamilton's principle with fractional derivatives in Lagrangian $L(t,y(t),{}_0D_t^\al y(t),α)$ so that the function and the order of fractional derivative are…
Variational problems with fractional derivatives: Invariance conditions and Nöther's theorem
Teodor M. Atanackovic, Sanja Konjik, Stevan Pilipovic +1
A variational principle for Lagrangian densities containing derivatives of real order is formulated and the invariance of this principle is studied in two characteristic cases. Nec…
Variational Problems with Fractional Derivatives: Euler-Lagrange Equations
Teodor M. Atanackovic, Sanja Konjik, Stevan Pilipovic
We generalize the fractional variational problem by allowing the possibility that the lower bound in the fractional derivative does not coincide with the lower bound of the integra…
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.
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…