Fractional Opial Type Inequalities and Fractional Differential Equations
Copyright policy )Fractional Opial Type Inequalities and Fractional Differential Equations
The authors prove various versions of the weighted Opial inequality of the general form \[ \int_a^b|D^{\nu_1}f(x)|^\alpha |D^{\nu_2}f(x)|^\beta q(x) dx \leq K \left(\int_a^b|D^{\nu_1}f(x)|^\delta|D^{\nu_2}f(x)|^\varepsilon p(x) dx \right)^\zeta \] and give their application to uniqueness theorems for a Cauchy type problem for a certain linear differential equation of fractional order.
- University of Memphis United States
Fractional derivatives and integrals, Linear ordinary differential equations and systems, fractional differential equation, Inequalities involving derivatives and differential and integral operators, fractional derivative, Opial type inequality, uniqueness of solutions
Fractional derivatives and integrals, Linear ordinary differential equations and systems, fractional differential equation, Inequalities involving derivatives and differential and integral operators, fractional derivative, Opial type inequality, uniqueness of solutions
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