CALCUL rFRACTIONNAIRE CONFORMABLE SUR LES ÉCHELLES DE TEMPS
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Abstract
In this memory , we introduce the definition of nabla conformable fractional derivative of
order 2]0; 1] and their important properties , we introduce and develop the notion of
nabla conformable fractional integral of order 2]0; 1] on time scales . The basic tools for
fractional differentiation and fractional integration are then developed . The Hilger time
scale calculus is obtained as a particular case , by choosing = 1 . Many basic properties
of the theory are proved .
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Keywords
Time scales , Conformable fractional derivative , Conformable fractional integral , Conformable fractional calculus on time scales , A Mean Value Theorem , Absolutely continuous function, Échelle de temps , Dérivée fractionnaire conformable , Intégrale fractionnaire conformable , Calcul fractionnaire conformable sur l’échelle de temps , Théorème de la moyenne , Fonction absolument continue