Miscellaneous topics in fractional calculus

Application of fractional calculus in medicine

  1. M. (Premović) Cvjetićanin, D. Zorica, V. Krstonosić, M. Hadnadjev, I. Stojanac, B. Ramić, M. Drobac, Lj. Petrović, T. Atanacković, The influence of temperature on rheological properties of three root canal sealers, Materiale Plastice, 59 (2022) 174–182.
  2. B. Petronijevic, I. Sarcev, D. Zorica, M. Janev, T. M. Atanackovic, Fractional two compartmental model for articaine serum levels, Heat and Mass Transfer, 52 (2016) 1125–1130.
  3. Lj. M. Petrovic, D. M. Zorica, I. Lj. Stojanac, V. S. Krstonosic, M. S. Hadnadjev, M. B. Janev, M. T. Premovic, T. M. Atanackovic, Viscoelastic properties of uncured resin composites: Dynamic oscillatory shear test and fractional derivative model, Dental Materials, 31 (2015) 1003–1009.
  4. Lj. M. Petrovic, D. M. Zorica, I. Lj. Stojanac, V. S. Krstonosic, M. S. Hadnadjev, T. M. Atanackovic, A model of the viscoelastic behavior of flowable resin composites prior to setting, Dental Materials, 29 (2013) 929–934.

Fractional-order variational principles

  1. T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Euler-Lagrange equations for Lagrangians containing complex order fractional derivatives, Journal of Optimization Theory and Applications, 174 (2017) 256–275.
  2. T. M. Atanacković, M. Janev, S. Konjik, S. Pilipović, D. Zorica, Expansion formula for fractional derivatives in variational problems, Journal of Mathematical Analysis and Applications, 409 (2014) 911–924.
  3. T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Complementary variational principles with fractional derivatives, Acta Mechanica, 223 (2012) 685–704.

Further miscellaneous topics

  1. T. M. Atanacković, S. Pilipović, D. Zorica, Properties of the Caputo-Fabrizio fractional derivative and its distributional settings, Fractional Calculus and Applied Analysis, 21 (2018) 29–44.
  2. T. M. Atanacković, M. Janev, S. Pilipović, D. Zorica, Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations, Applied Mathematics and Computation, 243 (2014) 611–623.
  3. T. M. Atanackovic, D. Zorica, On the Bagley-Torvik equation, Journal of Applied Mechanics. Transactions of the ASME, 80 (2013) 041013–1–4.
  4. T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, An expansion formula for fractional derivatives of variable order, Central European Journal of Physics, 11 (2013) 1350–1360.