About Some Possible Implementations of the Fractional Calculus

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 f...

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Published inMathematics (Basel) Vol. 8; no. 6; p. 893
Main Authors Velasco, María Pilar, Usero, David, Jiménez, Salvador, Vázquez, Luis, Vázquez-Poletti, José Luis, Mortazavi, Mina
Format Journal Article
LanguageEnglish
Published MDPI AG 01.06.2020
Subjects
fractional calculus
fractional differential equations
nonlocal effects
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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.
AbstractList 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.
Author Jiménez, Salvador
Vázquez-Poletti, José Luis
Usero, David
Velasco, María Pilar
Mortazavi, Mina
Vázquez, Luis
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fractional differential equations
nonlocal effects
Title About Some Possible Implementations of the Fractional Calculus
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