Author, Institution: Inga Telksnienė, Kaunas University of Technology
Science area, field of science: Natural Sciences, Informatics, N009
Scientific Supervisor: Prof. Dr. Hab. Minvydas Kazys Ragulskis (Kaunas University of Technology, Natural Sciences, Informatics, N009)
Dissertation Defense Board of Informatics Science Field:
Prof. Dr. Hab. Rimantas Barauskas (Kaunas University of Technology, Natural Sciences, Informatics, N009) – chairperson
Prof. Dr. Hab. Antanas Čenys (Vilnius Gediminas Technical University, Natural Sciences, Informatics, N009)
Assoc. Prof. Dr. Gintaras Palubeckis (Kaunas University of Technology, Natural Sciences, Informatics, N009)
Prof. Dr. Miguel Angel Fernandez Sanjuan (Rey Juan Carlos University, Spain, Natural Sciences, Informatics, N009)
Assoc. Prof. Dr. Vadimas Starikovičius (Vilnius Gediminas Technical University, Natural Sciences, Informatics, N009)
Dissertation defense meeting will be at Rectorate Hall of Kaunas University of Technology (K. Donelaičio 73-402, Kaunas)
The doctoral dissertation is available at the library of Kaunas University of Technology (Gedimino 50, Kaunas) and on the internet: I. Telksnienė el. dissertation (PDF)
Annotation: Caputo Fractional Differential Equations (CFDE) have recently emerged as an important tool for modeling complex phenomena in a variety of scientific fields owing to their ability to model systems exhibiting memory or hereditary properties. The extensive applicability of Caputo’s differential equations necessitates their exploration via both analytical and numerical techniques, thus making it a highly relevant task. Therefore, the main objective of this thesis is to develop a novel semi-analytical framework for the construction and analysis of solutions to Caputo fractional differential equations by utilizing the concepts of Caputo algebra of fractional power series. This doctoral dissertation is based on a collection of scientific papers, each of which fulfilled one or several of the following tasks: (a) Development of a methodology for the construction of fractional power series solutions to various CFDEs and investigation of the structure of such solutions; (b) Development of the analytical framework for the extension of solutions to CFDEs with polynomial nonlinearity to the negative half-line and investigation of the properties of such an extension; (c) Creation of a semi-analytical scheme for the construction of approximate solutions to CFDEs.
June 11 d. 10:00
Rectorate Hall at Kaunas University of Technology (K. Donelaičio 73-402, Kaunas)
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