Fractional integration by parts and Sobolev‐type inequalities for ψ$$ \psi $$‐fractional operators
Copyright policy )Fractional integration by parts and Sobolev‐type inequalities for ψ$$ \psi $$‐fractional operators
In the present paper, we investigate the Hardy–Littlewood type and the integration by parts result for –Riemann–Liouville fractional integrals. Also, we attack the integration by parts for the –Riemann–Liouville and –Hilfer fractional derivatives. To finish, we investigated Sobolev‐type inequalities involving the –Riemann–Liouville and the –Hilfer fractional derivatives in weighted space.
Variational methods for second-order elliptic equations, \(\psi\) estimates, \(\psi\)-Riemann-Liouville fractional integrals, Nonlinear boundary value problems for ordinary differential equations, Fractional derivatives and integrals, Hardy-Littlewood maximal function, \(\psi\)-Hilfer fractional derivatives, Inequalities involving derivatives and differential and integral operators, Fractional ordinary differential equations, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Hardy-Littlewood-type result
Variational methods for second-order elliptic equations, \(\psi\) estimates, \(\psi\)-Riemann-Liouville fractional integrals, Nonlinear boundary value problems for ordinary differential equations, Fractional derivatives and integrals, Hardy-Littlewood maximal function, \(\psi\)-Hilfer fractional derivatives, Inequalities involving derivatives and differential and integral operators, Fractional ordinary differential equations, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Hardy-Littlewood-type result
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