Study of New Class of q-fractional Derivative Operator and its Properties

  • Mohammad Momenzadeh, SajedehNorozpour

Abstract

There are several approaches to the fractional differential operators.Generalized q-fractional integral operator was defined in the aid of q-iterated Cauchy integral and q-calculus techniques. In the following paper, we introduce the Caputo type derivative related to the mentioned operator and some properties of this operator is investigated.  Cauchy problem based on this operator is studied and existence and uniqueness is discussed.

Published
2020-05-31
How to Cite
Mohammad Momenzadeh, SajedehNorozpour. (2020). Study of New Class of q-fractional Derivative Operator and its Properties. International Journal of Advanced Science and Technology, 29(08), 2871 - 2878. Retrieved from https://sersc.org/journals/index.php/IJAST/article/view/24754
Section
Articles