RT Dissertation/Thesis T1 Fractional Differential Equations A1 Pimentel Sunio, Johnatan K1 Fractional calculus K1 Caputo fractional derivative K1 Differential equation K1 Fixed point theorem AB Fractional calculus, the branch of mathematics dealing with derivatives and integrals of non-integerorder, began as a mere mathematical curiosity during the time of Leibniz but through the years hasdeveloped into a very dynamic field of research.Famous mathematicians such as Riemann, Liouville, Grunwald, Euler, Lagrange, Caputo andothers laid the foundation of the modern theory thus paving the way for fractional calculus to entermainstream mathematics.At present, this field of study is still developing rapidly. New concepts and ideas such as theCaputo-Fabrizio formulation for example, have emerged and applications in such varied fields asviscoelasticity, fluid flow, rheology, etc., have arisen.In this thesis we will address new problems and issues within this area. YR 2017 FD 2017 LK http://hdl.handle.net/10347/15219 UL http://hdl.handle.net/10347/15219 LA eng DS Minerva RD 3 may 2026