Riemann-liouville fractional opial inequalities for several functions with applications


A large variety of very general Lp(1 ≤ p ≤∞) form Opial type inequalities ([15]) is presented involving Riemann-Liouville fractional derivatives ([5], [12], [13], [14]) of several functions in different orders and powers. From the established results derive several other particular results of special interest. Applications of some of these special inequalities are given in proving uniqueness of solution and in giving upper bounds to solutions of initial value fractional problems involving a very general system of several fractional differential equations. Upper bounds to various Riemann-Liouville fractional derivatives of the solutions that are involved in the above systems are given too. © Dynamic Publishers, Inc.

Publication Title

Communications in Applied Analysis

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