All Stories

  1. Fractional derivatives and the fundamental theorem of fractional calculus

    Article • Fractional Calculus and Applied Analysis, August 2020, De Gruyter

    Prof. Dr. Yuri Luchko

  2. Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives

    Article • Fractional Calculus and Applied Analysis, February 2020, De Gruyter

    Prof. Dr. Yuri Luchko, Maryam Alkandari

  3. A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals

    Article • Integral Transforms and Special Functions, February 2019, Taylor & Francis

    Prof. Dr. Yuri Luchko, Latif Hanna, Maryam Alkandari

  4. A Survey on the Recent Results Regarding Maximum Principles for the Time-Fractional Diffusion Equations

    Article • March 2018, Bentham Science Publishers

    Prof. Dr. Yuri Luchko

  5. FCAA special issue (FCAA–volume 20–5–2017)

    Article • Fractional Calculus and Applied Analysis, October 2017, De Gruyter

    Prof. Dr. Yuri Luchko

  6. On the maximum principle for a time-fractional diffusion equation

    Article • Fractional Calculus and Applied Analysis, October 2017, De Gruyter

    Prof. Dr. Yuri Luchko

  7. The neutral-fractional telegraph equation

    Article • Mathematical Modelling of Natural Phenomena, January 2017, EDP Sciences

    Prof. Dr. Yuri Luchko

  8. A New Fractional Calculus Model for the Two-dimensional Anomalous Diffusion and its Analysis

    Article • Mathematical Modelling of Natural Phenomena, January 2016, EDP Sciences

    Prof. Dr. Yuri Luchko

  9. Analysis of fractional diffusion equations of distributed order: Maximum principles and their applications

    Article • Analysis, January 2016, De Gruyter

    Prof. Dr. Yuri Luchko

  10. General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Prof. Dr. Yuri Luchko

  11. Fractional Calculus: D’où venons-nous? Que sommes-nous? Où allons-nous?

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Jose Tenreiro Machado, Prof. Virginia S. Kiryakova, Professor Dumitru Baleanu, Prof. Dr. Kai Diethelm, Prof. Roberto Garrappa, Prof. Dr. Yuri Luchko, Prof., Dr Raoul R. Nigmatullin, Prof. Manuel D Ortigueira, Professor Vasily E Tarasov, Teodor Atanackovic, Rachid Malti

  12. Modeling of financial processes with a space-time fractional diffusion equation of varying order

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Prof. Dr. Yuri Luchko, Jan Korbel

  13. Time-fractional diffusion equation in the fractional Sobolev spaces

    Article • Fractional Calculus and Applied Analysis, January 2015, De Gruyter

    Prof. Dr. Yuri Luchko