A NEW GENERALIZED FRACTIONAL DERIVATIVE AND INTEGRAL
Abstract
In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem. We give some examples.
Keywords
References
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Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Abdullah Akkurt
0000-0001-5644-1276
Türkiye
Merve Esra Yıldırım
This is me
Türkiye
Hüseyin Yıldırım
Türkiye
Publication Date
October 15, 2017
Submission Date
May 22, 2017
Acceptance Date
September 18, 2017
Published in Issue
Year 2017 Volume: 5 Number: 2
