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“Transform Methods and Special Functions 2017” TMSF' 2017 BOOK \Transform Methods and Special Functions 2017" 8th International Conference, Sofia, August 27{31, 2017 TMSF' 2017 BOOK OF ABSTRACTS Sofia, 2017 Institute of Mathematics and Informatics Bulgarian Academy of Sciences Website: http://www.math.bas.bg/∼tmsf/2017/ Organizing Committee: Emilia Bazhlekova and Jordanka Paneva-Konovska (Co-Chairs), Yulian Tsankov, Donka Pashkouleva, Georgi Dimkov, Nikolay Ikonomov, Ivan Bazhlekov (Local Members), Miglena Koleva (Ruse University), Djur- djica Takaci (Serbia), Biljana Jolevska-Tuneska (Macedonia), Nicoleta Breaz (Romania) Scientific Program Committee: Virginia Kiryakova, Stepan Tersian (Co-Chairs), Blagovest Sendov, Ivan Dimovski, Nedyu Popivanov, Tsvyatko Rangelov (Bulgaria); Teodor Atanackovic, Stevan Pilipovic, Arpad Takaci, Predrag Rajkovic (Serbia); Nikola Tuneski (Macedonia), Daniel Breaz (Romania), Yuri Luchko (Germany, FCAA), Igor Podlubny (Slovak R., FCAA), J. Ten- reiro Machado (Portugal, FCAA) This Conference is dedicated to: • The 70th anniversary of Institute of Mathematics and Informatics { Bulgarian Academy of Sciences, created 27 October 1947 • The 20th volume of the specialized international journal \Fractional Calculus and Applied Analysis", https:==www.degruyter.com/view/j/fca • The 65th anniversary of its Ed.-in-Chief, Virginia Kiryakova Acknowledgements: Thanks are due to the Institute of Mathematics and Informatics (IMI), http:==math.bas.bg/index.php/en/ { Bulgarian Academy of Sciences (BAS), as a host of Conference providing its facilities and support. This Conference is organized by Department \Analysis, Geometry and Topology" at IMI and under the auspices of the bilateral agreements (2017{ 2019) between Bulgarian Academy of Sciences and Serbian and Macedonian Academies of Sciences and Arts. Some of the reported research results are in frames of the working programs of the corresponding bilateral projects as well as of research projects with National Science Fund of Bulgaria, related to the TMSF 2017 topics (Grant DFNI-I 02/9 and Grant DFNI-I 02/12). 1 \Transform Methods and Special Functions 2017" 8th International Conference, Sofia, August 27{31, 2017 HISTORY OF \TMSF" International Meetings in Bulgaria Website: http://www.math.bas.bg/∼tmsf/ • The 1st International Workshop \TMSF, Sofia’ 94" took place near Sofia (the resort town of Bankya, 20 km far from Sofia), 12-17 August 1994. Attended by 46 mathematicians and 6 accompanying persons from 15 countries. • The 2nd International Workshop \TMSF, Varna' 96" took place in Varna (the Black Sea resort \Golden Sands"), 23-30 August 1996. Attended by 73 participants and several accompanying persons from 19 countries. • The 3rd International Workshop \TMSF, AUBG' 99" was in the town of Blagoevgrad (100km south from Sofia), 13-20 August 1999, with the kind assistance and co-organization of the American University in Bulgaria (AUBG), with 47 participants from 16 countries. • The 4th International Workshop \TMSF, Borovets' 2003" took place in the frames of the 1st MASSEE (Mathematical Society of South-Eastern Europe) Congress, in Borovets (famous winter resort in the Rila mountain), 15-21 September 2003, with 40 participants from 13 countries. • The 5th International meeting \TMSF", 27-31 August 2010, was organized as an International Symposium \Geometric Function Theory and Applications' 2010" held in Sofia at IMI-BAS, and attracted 50 participants and 7 accompanying persons from 12 countries. Details at: http://www.math.bas.bg/∼tmsf/gfta2010/. • The 6th International conference \TMSF 2011" was held in Sofia, 20-23 October 2011, in IMI-BAS, with 62 participants from 19 countries. It was dedicated to the 80th Anniversary of Prof. Peter Rusev. For all details, Book of Abstracts and Proceedings of TMSF2011, photos, etc., visit http://www.math.bas.bg/∼tmsf/2011/. • The 7th International Minisymposium \TMSF 2014" was held in Sofia, 7-10 July 2014, in frames of International conference \Mathematics Days in Sofia’ 2014", hosted by IMI-BAS. It was dedicated to the 80th An- niversary of Prof. Ivan Dimovski, 30 of all 280 participants were especially as TMSF participants. Details: http://www.math.bas.bg/∼tmsf/2014/. • And this is the 8th event of the series of \TMSF". 2 \Transform Methods and Special Functions 2017" 8th International Conference, Sofia, August 27{31, 2017 FRACT CALC APPL ANAL { 20 YEARS Vol. 1 (1998) { Vol. 20 (2017) Website: https://www.degruyter.com/view/j/fca The \FCAA" journal, abbreviated as \Fract. Calc. Appl. Anal.", Print ISSN 1311-0454, Electronic ISSN 1314-2224, is a specialized in- ternational journal for theory and applications of an important branch of Mathematical Analysis (Calculus), where the differentiations and integra- tions can be of arbitrary non-integer order. A peer-reviewed journal with high standards guaranteed by the Editorial Board's list and carefully se- lected external referees and proven by the recently achieved high values of: Thomson Reuters Impact Factor (JIF)= 2.974 (2013), 2.245 (2014), 2.246 (2015), 2.034 (2016), 5-year Impact Factor: 2.359; Scopus Impact Rang (SJR) = 2.106 (2013), 1.433 (2014), 1.602 (2015), CiteScore 2016: 2.18; these have launched \FCAA" to top 10 places in the TR ranking lists for Maths and Appl. Maths. Abstracted / Indexed in: ISI Science Citation Index Expanded and Journal Citation Reports/Science Edition (Thomson Reuters); Sco- pus (Elsevier); SCImago (SJR); WorldCat (OCLC); Mathematical Reviews (MathSciNet); Zentralblatt Math.; Summon (Serials Solutions / ProQuest); Primo Central (ExLibris); Celdes; JournalTOCs; Google Scholar; etc. Published with the kind assistance and cooperation of: Institute of Mathematics and Informatics { Bulgarian Academy of Sciences. Established in 1998, with Founding Publisher: (Vol. 1{Vol. 13, till 2010) Institute of Mathematics and Informatics { Bulgarian Academy of Sciences. Contents and abstracts of all volumes, back volumes 2005{2010, and journal's details are available at Editor's websites: http:==www.math.bas.bg/∼fcaa , http:==www.diogenes.bg/fcaa. Co-published in the period 2011{2014, Vol. 14{Vol. 17, by: Versita = De Gruyter Open, Warsaw and Springer-Verlag, Wien, Website (former): http:==http://degruyteropen.com/serial/fcaa/ and Online Electronic version then was at SpringerLink. Current Publisher { since 2015, Vol. 18: Walter de Gruyter GmbH, Berlin / Boston. Publisher's website: http:==www.degruyter.com/view/j/fca, with all journal's details and online electronic version (Vols. 14{17, free). 3 \Transform Methods and Special Functions 2017" 8th International Conference, Sofia, August 27{31, 2017 INSTITUTE OF MATHEMATICS AND INFORMATICS { Bulgarian Academy of Sciences Website: http://math.bas.bg/index.php/en/ One of the events to which this Conference is dedicated, is the 70th an- niversary of the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (IMI { BAS). IMI-BAS was created shortly after the end of World War II by the ef- forts and high professionalism of a generation of Bulgarian mathematicians whom we now thankfully style the pivots of Bulgarian mathematics. The date 27 October 1947 is rightly considered the birth date of IMI, when the Executive Council of the Academy confirmed the plan of the scientific activ- ity in 1947/1948. Then, the section devoted to the mathematical sciences included the work of three commissions: • Commission for demographic studies (Acad. Kiril Popov) • Commission for mathematical studies of the representative method in statistics (Acad. Nikola Obrechkoff) • Commission for financial mathematical research of state bonds and external bonds guaranteed by the state (Acad. Kiril Popov). The scientific plan contained also detailed individual plans by the mathematicians • Acad. Ivan Tzenov, • Acad. Ljubomir Tchakalov, • Acad. Nikola Obrechkoff, • Acad. Kiril Popov. Fully in line with the dynamics of the time and development of research in mathematical sciences, our institution changed its name several times. In 1949 the Mathematical Institute (MI) was established at the Physical and Mathematical Branch of the Academy and Acad. Ljubomir Tchakalov was appointed as its head. The MI was renamed Mathematical Institute with Computing Centre (MI with CC) in 1961 (when the 1st Computing Centre in Bulgaria was created), then as Institute of Mathematics and Me- chanics with Computing Centre (IMM with CC) in 1972, and Institute of Mathematics (IM) in 1994. The flourishing period 1971{1988 was the time of the United Centre for Science and Training in Mathematics and Mechan- ics, combining together the stuff (more than 500 members) and missions of both IMM with CC (Institute) and FMM (Faculty of Mathematics and Mechanics { Sofia University), with Director Acad. Ljubomir Iliev. Then it started the 3 levels of university education, the system which was accepted in whole Europe 20 years later. The current name, IMI, goes back to 1995. 4 Since its creation in 1947, IMI has been a leading Bulgarian centre for research and training of highly qualified specialists and exercising an effi- cient, widerange, consistent policy related to the fundamental trends in the development of mathematics, computer science and information technolo- gies, including also working and care for teachers and talented pupils. Mission of IMI: • Development of fundamental and applied research in mathematics and informatics in compliance with the national and European priorities, integration of IMI into the European Research Area; • Scientific research in the fields of mathematical structures, mathe- matical modeling and mathematical
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