ABSTRACT – Marian Roque

Half Derivative? An Introduction to Fractional Derivatives and their Applications

Marian P. Roque

Institute of Mathematics, University of the Philippines Diliman

Fractional calculus is a discipline of mathematical analysis dealing with derivatives and integrals of nonintegral order. It started as a purely theoretical field but has recently become a relevant tool in the modelling of physical phenomena. In this talk, I shall give some properties of some fractional derivatives which may or may not hold for classical derivatives. In particular, the
Riemann-Liouville fractional derivative(RLFD), Caputo
fractional derivative(CFD), and the Caputo-Fabrizio fractional derivative (CFFD) will be discussed.
Fractional solutions of some mathematical models will be derived and compared with the classical solution of the model.