Analysis of Tempered Fractional Calculus in Hölder and Orlicz Spaces
Analysis of Tempered Fractional Calculus in Hölder and Orlicz Spaces
Here, we propose a general framework covering a wide variety of fractional operators. We consider integral and differential operators and their role in tempered fractional calculus and study their analytic properties. We investigate tempered fractional integral operators acting on subspaces of L1[a,b], such as Orlicz or Hölder spaces. We prove …