Generalized Hilfer Fractional Self Adjoint Operator Inequalities


We give here ψ -Hilfer and Hilfer fractional self adjoint operator inner product comparison, Poincaré, Sobolev and Opial type inequalities. At first we give right and left ψ -Hilfer fractional representation formulae in the self adjoint operator sense. Operator inequalities are based in the self adjoint operator order over a Hilbert space. It follows [3].

Publication Title

Studies in Systems, Decision and Control