Chartered Mathematician (U.K.)
Honorary Foreign Member, The Royal Flemish Academy of Belgium for Science and the Arts
Fellow, The Royal Astronomical Society (London, U.K.)
Fellow, The National Academy of Sciences of India
Fellow, The Institute of Mathematics and Its Applications (U.K.)
Honorary Fellow, The Vijnana Parishad (Science Academy) of India
Fellow, The American Association for the Advancement of Science (U.S.A.)
Honorary Academician and Corresponding Member (Foreign Fellow), La Academia Canaria de Ciencias (Spain)
Foreign Fellow, Forum d'Analystes (India)
Honorary Academician and Foreign Member, The Macedonian Academy of Sciences and Arts (Skopje, Republic of Macedonia)
Fellow, The International Academy of Physical Sciences
Honorary Member (Foreign Fellow), The EU Academy of Sciences
Honorary Academician and Corresponding Member (Foreign Fellow), The Royal Academy of Sciences of Spain
Distinguished Fellow, International Engineering and Technology Institute (Hong Kong and U.S.A.; Elected 2016)
Distinguished Fellow, The Institute of Data Science and Artificial Intelligence (Hong Kong and U.S.A.; Elected 2021)
Honorary Member, The Research Board of Advisors, American Biographical Institute (U.S.A.)
Honorary Member, Section of Mathematics, International Telematic University Uninettuno (Rome, Italy)
President, International Engineering and Technology Institute (Hong Kong)
Past President, The Jangjeon Mathematical Society (Hapcheon [Kyungshang], Republic of Korea)
Past Vice-President, The Calcutta Mathematical Society (Kolkata, India)
Chartered Scientist (U.K.)
Editor-in-Chief, Honorary Editor, Advisory Editor, Associate Editor, or Editorial Board Member of a number of international scientific research journals
Referee and Editorial Consultant for several Asian, European, and American Journals and Publishers
Recipient of numerous Honors, Awards, Prizes, and Grants [including (among the latest) the NSERC 25-Year Award in Canada and the Nishiwaki Prize in Japan in the calendar year 2004, the Honorary Doctor of Science degree awarded by Chung Yuan Christian University in Taiwan in the calendar year 2006, the Honorary Doctor of Science degree awarded by the "1 Decembrie 1918" University of Alba Iulia in Romania in the calendar year 2007, and the Obada Prize for Distinguished Researcher in the calendar year 2020]
Listed and ranked in the Second Place among Canada's Top Researchers in the discipline of Mathematics and Statistics in Terms of Productivity and Impact Based Upon a Measure of Citations to Their Published Works (The Globe and Mail, Toronto, March 27, 2012, Page B7 et seq.)
Listed and ranked in the Twelfth Place in General Mathematics among the Top 2% Scientists in the World 2020 (Published by Stanford University in U.S.A.)
Distinguished Visiting (Research) Professor at numerous Academic Institutions around the world
Life-Time Achievement Award by The Jaipur Mathematical Society at the Third International Conference on Mathematical Modelling, Applied Analysis and Computation (JECRC University, Jaipur, Rajasthan, India; September 07-09, 2020)
Life-Long Achievements Award by The Vijnana Parishad (Science Academy) of India
Life-Time Achievement Award by The Institute of Technical and Scientific Research (ITSR Foundation Award 2020: September 13, 2020), Jaipur, Rajasthan, India
The Liouville Award in Testimony of the High Regard of Achievements in the Area of Fractional Calculus and Its Applications by The First Online Conference on Modern Fractional Calculus and Its Applications (Biruni University, Istanbul, Turkey; December 4-6, 2020)
External Examiner for (carefully-selected and discretely-chosen) Ph. D. and D. Sc. Theses submitted to Universities around the world (Especially in North America, Europe, and Asia)