{"id":43,"date":"2020-01-14T11:54:23","date_gmt":"2020-01-14T11:54:23","guid":{"rendered":"http:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/?page_id=43"},"modified":"2025-10-15T08:53:09","modified_gmt":"2025-10-15T08:53:09","slug":"miscellaneous-topics-in-fractional-calculus","status":"publish","type":"page","link":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/miscellaneous-topics-in-fractional-calculus\/","title":{"rendered":"Miscellaneous topics in fractional calculus"},"content":{"rendered":"\n

Application of fractional calculus in medicine<\/strong><\/p>\n\n\n\n

    \n
  1. M. (Premovi\u0107) Cvjeti\u0107anin, D. Zorica, V. Krstonosi\u0107, M. Hadnadjev, I. Stojanac, B. Rami\u0107, M. Drobac, Lj. Petrovi\u0107, T. Atanackovi\u0107, The influence of temperature on rheological properties of three root canal sealers, Materiale Plastice, 59 (2022) 174\u2013182.<\/li>\n\n\n\n
  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\u20131130.<\/li>\n\n\n\n
  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\u20131009.<\/li>\n\n\n\n
  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\u2013934.<\/li>\n<\/ol>\n\n\n\n

    Fractional- and integer-order variational principles<\/strong><\/p>\n\n\n\n

      \n
    1. H. M. A. Abdalla, D. Zorica, Conservation laws for functionally graded and auxetic thick-walled cylinders under plane elasticity, Mechanics of Materials, 210 (2025) 105450-1-11.<\/li>\n\n\n\n
    2. 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\u2013275.<\/li>\n\n\n\n
    3. T. M. Atanackovi\u0107, M. Janev, S. Konjik, S. Pilipovi\u0107, D. Zorica, Expansion formula for fractional derivatives in variational problems, Journal of Mathematical Analysis and Applications, 409 (2014) 911\u2013924.<\/li>\n\n\n\n
    4. T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Complementary variational principles with fractional derivatives, Acta Mechanica, 223 (2012) 685\u2013704.<\/li>\n<\/ol>\n\n\n\n

      Further miscellaneous topics<\/strong><\/p>\n\n\n\n

        \n
      1. T. M. Atanackovi\u0107, S. Pilipovi\u0107, D. Zorica, Properties of the Caputo-Fabrizio fractional derivative and its distributional settings, Fractional Calculus and Applied Analysis, 21 (2018) 29\u201344.<\/li>\n\n\n\n
      2. T. M. Atanackovi\u0107, M. Janev, S. Pilipovi\u0107, D. Zorica, Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations, Applied Mathematics and Computation, 243 (2014) 611\u2013623.<\/li>\n\n\n\n
      3. T. M. Atanackovic, D. Zorica, On the Bagley-Torvik equation, Journal of Applied Mechanics. Transactions of the ASME, 80 (2013) 041013\u20131\u20134.<\/li>\n\n\n\n
      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\u20131360.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

        Application of fractional calculus in medicine Fractional- and integer-order variational principles Further miscellaneous topics<\/p>\n","protected":false},"author":63,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"full-width-page.php","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-43","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/pages\/43","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/users\/63"}],"replies":[{"embeddable":true,"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/comments?post=43"}],"version-history":[{"count":6,"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/pages\/43\/revisions"}],"predecessor-version":[{"id":314,"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/pages\/43\/revisions\/314"}],"wp:attachment":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/dusan.zorica\/wp-json\/wp\/v2\/media?parent=43"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}