Organizer(s):

Name:

Affiliation:

Country:

Ozlem Defterli

Associate Professor Dr., Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara

Turkey

Dumitru Baleanu

Professor, Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

Lebanon

 Introduction:  

Fractional Calculus has a history of 328 years. It generalizes the operations of differentiation and integration to non-integer orders. The literature models are commonly constructed using integer order derivative which may introduce large errors. One advantage of fractional calculus is in the minimization of this error using fractional derivatives while providing the involvement of the memory effect during the process is the other critical advantage. Many seminal works were developed in both theories and applied areas. Among many open problems of this very young and dynamic field, one is represented by finding the applications of the fractional operators with the general kernel. The problem is interesting because the general kernels may contain singular and non-singular operators. These classes of operators have different properties and should be treated very carefully from the modelling point of view. In this special session, many experts from different fields will interact and have the opportunity to discuss their works for further improvements on how to solve the field`s open problems.