Fractional Differential Equations

In this manuscript we proposed a new fractional derivative with non-local and
 no-singular kernel. We presented some useful properties of the new derivative
 and applied it to solve the fractional heat transfer model.

/pdf/new-fractional-derivatives-with-nonlocal-and-non-singular-frab4xusw4.pdf

New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model

저작근 근전도에 관한 정상교합자와 ii급 부정교합자의 비교 연구

Turbulent dispersed multiphase flows are common in many engineering and environmental applications. The stochastic nature of both the carrier-phase turbulence and the dispersed-phase distribution makes the problem of turbulent dispersed multiphase flow far more complex than its single-phase counterpart. In this article we first review the current state-of-the-art experimental and computational techniques for turbulent dispersed multiphase flows, their strengths and limitations, and opportunities for the future. The review then focuses on three important aspects of turbulent dispersed multiphase flows: the preferential concentration of particles, droplets, and bubbles; the effect of turbulence on the coupling between the dispersed and carrier phases; and modulation of carrier-phase turbulence due to the presence of particles and bubbles.

Turbulent Dispersed Multiphase Flow

In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve the fractional heat transfer model.

http://coimbra.ucsd.edu/publications/papers/2013_Inman_Pedro_Coimbra.pdf

Solar forecasting methods for renewable energy integration

http://coimbra.ucsd.edu/publications/papers/2012_Pedro_Coimbra.pdf

Assessment of forecasting techniques for solar power production with no exogenous inputs

This work presents the novel concept of Variable-Order (VO) Calculus through the description of a simple problem in Mechanics. A mathematical definition for the VO-differential operator that is suitable to mechanical modelling is proposed, and an example concerning the effect of nonuniform viscoelastic frictional forces is described. A numerical method for the solution of Variable Order Differential Equations (VODEs) is proposed. The physical model under study requires mathematical tools that lie beyond the traditional methods of Constant-Order (CO) differential equations. The VO-Calculus formulation is compared to a CO-Calculus model in order to show the limitations of the latter in resolving the transition between the relevant dynamic regimes.

Mechanics with variable-order differential operators

https://escholarship.org/content/qt5dk0b8t5/qt5dk0b8t5.pdf?t=q9piey

History and trends in solar irradiance and PV power forecasting: A preliminary assessment and review using text mining

http://coimbra.ucsd.edu/publications/papers/2013_Marquez_Coimbra.pdf

Carlos F.M. Coimbra

Papers

Solar forecasting methods for renewable energy integration

Assessment of forecasting techniques for solar power production with no exogenous inputs

Mechanics with variable-order differential operators

History and trends in solar irradiance and PV power forecasting: A preliminary assessment and review using text mining

Intra-hour DNI forecasting based on cloud tracking image analysis