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INTERNATIONAL WORKSHOP ON MATHEMATICAL METHODS IN ENGINEERING Cankaya University, Ankara, Turkey April 27-29, 2017 Chair ● Kenan TAS (Turkey) Co-Chairs ● J.A.Tenreiro Machado (Portugal) ● Yangjian Cai (China) Prepared by Kenan Tas Dumitru Baleanu Ayse Dogan Calisir Seyma Kayan Copyright © 2017 Cankaya University Press ISBN 978-975-6734-19-3 1 Table of Contents 1. Foreword 2. Committees 3. Organizers and Sponsor 4. Referees 5. General Information 5.1 Cankaya University 5.2 Venue 6. Workshop Program 7. MME 2017 Abstracts 8. Index 2 1. Foreword “Mathematical Methods in Engineering, MME-2017" is held at Cankaya University, Ankara, Turkey during April 27 – 29 , 2017. This workshop brings together 363 researchers from academia, industry, and engineers from 36 different countries, including North and East America, India, Europe, and the Far East. The main theme of this current workshop is Fractional Calculus and Nonlinear Analysis with Engineering Applications. However, talks are not restricted to these subjects. The topics to be covered in seven special sessions are “Fixed Point Theory, Ulam Stability and Related Applications”, “New Developments in Applications of Fractional Calculus”, “Vortex Beams and Their Use in Optical Links”, “Fractional-order Systems: Analysis, Synthesis and Their Importance for Future Design”, “Applications of the Group Preserving Scheme and Reproducing Kernel Method”, “Spectral Theory and Its Applications” and “Operations Research (OR) Methods for Advanced Mathematical Modelling”. I applaud the outstanding efforts of the participants, who share an uncompromising commitment to excellence, and commend the dedication of the members of the International Scientific Committee who make this event possible. I would like to express our gratitude to Cankaya University for their support and sponsorship of the meeting. All local organizing committee members with leadership of Dumitru Baleanu and Co-Chairs J.A.Tenreiro Machado (Polytechnic of Porto, Portugal) and Yangjian Cai (Soochow University, China) as well as organizers of Special Sessions, and the members of Organizing Committee and International Scientific Committee deserve heartfelt thanks. Finally, we are celebrating the twentieth anniversary of Cankaya University by the year of 2017. In this very special occasion, on behalf of the International Scientific Committee, I also wish to express my sincere thanks to all academicians, students, and other participants who have made valuable contributions for the actualisation of this conference. Kenan Tas ; Chair of MME 2017 Department of Mathematics, Cankaya University, Turkey 3 2. International Scientific Committee Abdeljawad, T. (Saudi El-Khazali, R. (UAE) Mishra, V.N. (India) Arabia) Eloe. P. W. (USA) Momani, S. (Jordan) Agarwal, R. P. (USA) Erdogan, F. (Turkey) Nevzat, O. (Turkey) Agarwal, P. (India) Erkus Duman, E. (Turkey) Nieto, J. J. (Spain) Ahmad, B. (Saudi Arabia) Eyyuboglu, H. T. (Turkey) Nigmatullin, R. R. (Russia) Ahmadian, A. (Malaysia) Fečkan, M. (Slovakia) Ortigueira, M. (Portugal) Akgul, A. (Turkey) Gencoglu, M.T. (Turkey) Petras, I. (Slovakia) Akin, E. (USA) Golmankhaneh, A.K. (Iran) Pinto, C.M. (Portugal) Algin, A. (Turkey) Gulec, M. (Turkey) Purohit, S.D. (India) Altun, I. (Turkey) Hammouch, Z. (Morocco) Razminia, A. (Iran) Atangana, A. (South Africa) Hashemi, M.S. (Iran) Rezapour, Sh. (Iran) Baskonus, H.M. (Turkey) Holm, S. (Norway) Salahshour, S. (Iran) Baleanu, D. (Turkey) Ider, S. K. (Turkey) Spasici, D.T. (Serbia) Belgacem, F. B. M. (Kuwait) Inc, M. (Turkey) Srivastava, H.M. (Canada) Bhrawy, A. (Egypt) Jafari, H. (South Africa) Tas, K. (Turkey) Bohner, M. (USA) Jarad, F. (Turkey) Tenreiro Machado, J.A. Bulut, H. (Turkey) Karapinar, E. (Turkey) (Portugal) Burrage, K. (UK) Karniadakis, G. (USA) Torres, D.F. M. (Portugal) Butzer, P. L. (Germany) Li, C.P. (China) Trigessou, J. (France) Cai, Y. (China) Liu, F. (Australia) Trujillo, J.J. (Spain) Caputo, M. (Italy) Magin, R. L. (USA) Ubriaco, M. R. (USA) Catto, S. (USA) Marin, M. (Romania) Ugurlu, E. (Turkey) Cernea, A. (Romania) Marino, G. (Italy) Umul, Y.Z. (Turkey) Chen,W. (China) Markowski, K.A. (Poland) Weber, G-W. (Turkey) Debbouche, A. (Algeria) Meerschaert, M.M. (USA) Wu, G.C. (China) Defterli, O. (Turkey) Mekkaoui, T. (Morocco) Yang, X.J. (China) Djordjevic, D. (Serbia) Mendes Lopes, A. (Portugal) Duman, O. (Turkey) Merdan, H. (Turkey) 4 Organizing Committee Local Organizing Committee Tas, K. (Turkey)-Chair Baleanu, D. (Turkey)-Chair Tenreiro Machado, J.A. (Portugal)-Co-Chair Defterli, O. (Turkey) Cai, Y. (China)-Co-Chair Jarad, F. (Turkey) Bairamov, E. (Turkey) Maras, H. (Turkey) Baleanu, D. (Turkey) Ugurlu, E. (Turkey) Brzdek, J. (Poland) Bag, E. (Turkey) Defterli, O. (Turkey) Dogan Calisir, A. (Turkey) Karapinar, E. (Turkey) Gulec, U. (Turkey) Muresan, C. (Romania) Kayan, S. (Turkey) Pinto, C. (Portugal) 3. Sponsor 5 4. Referees Abdeljawad, T. (Saudi Chen,W. (China) Marino, G. (Italy) Arabia) Defterli, O. (Turkey) Markowski, K.A. (Poland) Abdelkawy, M.A.M (Egypt) Devendra, K. (India) Mendes Lopes, A. (Portugal) Abdelouahab, K. (Algeria) Djordjevic, D. (Serbia) Nigmatullin, R. R. (Russia) Agarwal, P. (India) Fügenschuh, A. (Germany) Ozmen, A. (Turkey) Ahmadian, A. (Malaysia) Gencoglu, M.T. (Turkey) Pinto, C.M. (Portugal) Akgul, A. (Turkey) Golmankhaneh, A.K. (Iran) Purohit, S.D. (India) Akman, T. (Turkey) Hajipour, M. (Iran) Rezapour, Sh. (Iran) Al-Refai, M. (UAE) Hammouch, Z. (Morocco) Salahshour, S. (Iran) Area, I. (Spain) Hashemi, M.S. (Iran) Tas, K. (Turkey) Arshad, S. (China) Hristov, J. (Bulgaria) Tenreiro Machado, J.A. (Portugal) Atangana, A. (South Africa) Inc, M. (Turkey) Ugurlu, E. (Turkey) Bairamov, E. (Turkey) Jafari, H. (South Africa) Weber, G-W. (Turkey) Baleanu, D. (Turkey) Jajarmi, A. (Iran) Wu, G.C. (China) Brzdek, J. (Poland) Jarad, F. (Turkey) Yang, X.J. (China) Cai, Y. (China) Karapinar, E. (Turkey) Zaky, M. (Egypt) Cankaya, M.N. (Turkey) Muresan, C. (Romania) 6 5. General Information 5.1 CANKAYA UNIVERSITY Explore the Possibilities for a Quality Undergraduate and Graduate Education Cankaya University is a fast developing higher education institution in Ankara, the capital city of Turkey. Devoted to scientific research, the university also offers a free, multi- dimensional and interactive teaching-learning atmosphere in a variety of subjects. Getting involved in academic studies in a place where western and eastern cultures meet and intertwine to create new syntheses will undoubtedly lead to top-level motivation and enthusiasm. The Message of the Chair of Board of Trustees After spending over forty years in the field of education with Arı Primary School and Arı High School, an investment in higher education and research became inevitable. This endeavour was realized through the collaboration and genuine contribution of all the teaching and administrative staff as well as the thousands of young people who have attended these schools. In fact, this was the source of the motivation that led to the establishment of Cankaya University, the last link in our educational project. The official establishment of Cankaya University was finalised in 1997. We live in an age where each nation is trying to be a centre of excellence. Education, reliable and efficient education, is undoubtedly the basis for excellence in a world dominated by progress and competition. Having such a perspective, our goal is to train the students of Cankaya University in the best way possible through well- developed curricula in various fields. This academic institution will also provide its graduates with a solidly founded future, where employment opportunities will be open at large. As the founders of the University, it is our sincere hope and desire to interact with all academic and administrative members as well as with the students as members of the same family of Cankaya University. Sıtkı Alp Chair of The Board of Trustees 7 Cankaya University aims at providing high-quality higher education and training at world standards, producing knowledge and encouraging research and development at international level, considering public service within its primary objectives, raising individuals who love their country and nation in particular, but embrace all humanity in general. The Mission of Cankaya University is to do basic and applied research at world standards, raise young people who know how to produce, transmit, and use knowledge, put into practice the principles of good management, preserve and improve high-quality in education and training, realize student and teaching staff mobility by cooperating with outstanding universities of the world, provide students with universal values and equip them with the ability of research and analytical thinking, encourage them to work and do research on interdisciplinary issues. 8 The Fundamental Values of Cankaya University are: Scientific and interdisciplinary approach, academic freedom, support, care and tolerance towards students, public service, good administration, participatory management, lifelong learning, equal treatment of all individuals without discrimination based on gender, religion, language, race or nationality, The Message of the Rector: Cankaya University has four main objectives: to give high quality education, to do scientific research on an international scale, to encourage an innovative mindset that transform pure research outcomes to practical utility, and to enhance institutional internationalization. The realization of these objectives is of course dependent on several factors: experienced