This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian ...

Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order α ∈ (0, 1) verifying that they coincide with the same classical Stefan problem at the limit case when ...

This thesis deals with the subject of non-integer order calculus mainly numerical methods or solving differential equations and dynamic systems analysis, according to the definition of the Caputo derivative.In this work, ...

This paper aims to present results that guarantee the existence of solution to a problem involving a fractional differential equation with antiperiodic boundary conditions. The fractional differential equation considered ...

Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can be used to express the ...