MULTIPARAMETER FRACTIONAL DIFFERENTIATION WITH NON SINGULAR KERNEL

MULTIPARAMETER FRACTIONAL DIFFERENTIATION WITH NON SINGULAR KERNEL

Blog Article

We introduce here Caputo and Riemann-Liouville type non singular kernel very general multi parameter left and right side fractional derivatives and we Horns prove their continuity.These have the advantage to describe accurately complex situations and phenomena and we can measure their fractional smoothness with Deodorants memory and nonlocality.Then, we derive related left and right fractional integral inequalities of Hardy, Opial and Hilbert-Pachpatte types, also of Hardy type involving convexity.