Study of new class of q-fractional derivative and its properties

2019/05/27 by Mohammad Momenzadeh, Momenzadeh, M., S. Norouzpoor +1
Mathematics · #Fractional Differential Equations Solutions #Mathematical functions and polynomials #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1905.11115

Abstract

There are several approaches to the fractional differential operator. Generalized q-fractional difference operator was defined in the aid of q-iterated Cauchy integral and q-calculus techniques. We introduce Caputo type derivative related to this operator and some properties of this operator as boundness are investigated. Moreover, related q-difference equation is discussed and in the aid of q-successive approximation , existence and uniqueness are studied.

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