On a differential equation involving hilfer-hadamard fractional derivative

Abstract

This paper studies a fractional differential inequality involving a new fractional derivative (Hilfer-Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem. We also provide an example to show the existence of solutions in a wider space for some exponents. Copyright 2012 M. D. Qassim et al.