A Generalized Lyapunov Inequality for a Pantograph Boundary Value Problem Involving a Variable Order Hadamard Fractional Derivative

The authors obtain existence and uniqueness results for a nonlinear fractional pantograph boundary value problem containing variable order Hadamard derivative. This type of model is appropriate applications involving processes that occur in strongly anomalous media. They also derive generalized Lyapunov-type inequality the considered. Their are obtained by calculus Krasnosel’skii’s fixed point theorem. An example given to illustrate their approach.