Prof.  Mir Sajjad  Hashemi
University of Bonab,  Iran

Title: Introduction of nonclassical Lie symmetry method for the fractional differential equations

Abstract:

This presentation is devoted to a class of linear and nonlinear differential equations with Riemann-Liouville fractional-order equations. These equations are used to describe the physical processes of models possessing memory. Nonclassical Lie symmetry analysis and some technical calculations, new infinitesimal generators are introduced which give rise to derive the invariant solutions for this class of differential equations.

Biography:

Professor Mir Sajjad Hashemi holds a Ph.D. in applied mathematics from Imam Khomeini International University (Iran) and MSc degree from the University of Tabriz (Iran). Three Ph.D. students and 15 MSc students finalized their thesis, under his supervision. He published a mathematical book in the field of numerical analysis and about 50 papers in Web of Science (ISI). His primary research interests are in the field of Lie theory and its applications to the differential equations (Ordinary, partial, fractional). Analytical and approximate solutions of ODEs, PDEs and fractional PDEs with various methods specifically with geometric methods are his other main research fields.