Opial-type inequalities for functions and their ordinary and balanced fractional derivatives
Here we present L-p, p > 0, fractional Opial type inequalities subject to high order boundary conditions. They involve the right and left Caputo, Riemann-Liouville fractional derivatives. These derivatives are blended together into the balanced Caputo, Riemann-Liouville, respectively, fractional derivative. We give an application to a balanced fractional boundary value problem by proving uniqueness of the solution.
boundary conditions riemann-liouville fractional derivative opial inequality fractional inequality caputo fractional derivative