Analytical solutions of q-fractional differential equations with proportional derivative

Analytical solutions of q-fractional differential equations with proportional derivative

In this paper, we aim to propose a novel q-fractional derivative in the Caputo sense included proportional derivative. To this end, we firstly introduced a new concept of proportional q-derivative and discussed its properties in detail. Then, we add this definition in the concept of Caputo derivativ...

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Bibliographic Details
Main Authors: Aisha Abdullah Alderremy, Mahmoud Jafari Shah Belaghi, Khaled Mohammed Saad, Tofigh Allahviranloo, Ali Ahmadian, Shaban Aly, Soheil Salahshour
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
q-calculus
q-proportional
proportional caputo q-derivative
q-laplace transform
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021338?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021338?viewType=HTML

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