Extension of q–fractional integral and derivative operator and study of their properties

Abstract

In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.