About Some Possible Implementations of the Fractional Calculus
M. Pilar Velasco, D. Usero, Salvador Jiménez, Luis Vázquez, José Luis Vázquez‐Poletti, Mina Mortazavi
Abstract
We present a partial panoramic view of possible contexts and applications of the fractional calculus. In this context, we show some different applications of fractional calculus to different models in ordinary differential equation (ODE) and partial differential equation (PDE) formulations ranging from the basic equations of mechanics to diffusion and Dirac equations.
Topics & Concepts
Fractional calculusTime-scale calculusPartial differential equationCalculus (dental)OdeOrdinary differential equationMathematicsContext (archaeology)Multivariable calculusApplied mathematicsDifferential equationMathematical analysisEngineeringPaleontologyDentistryBiologyMedicineControl engineeringFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Waves and Solitons