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Churchill R.V.; Modern Operational Mathematics in Engineering; Mc-Graw-Hill; New York; 1994.

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Article

Introduction of Derivatives and Integrals of Fractional Order and Its Applications

1Islamic Azad University, Bardaskan Branch, Department of Mathematics, Bardaskan, Iran


Applied Mathematics and Physics. 2013, Vol. 1 No. 4, 103-119
DOI: 10.12691/amp-1-4-3
Copyright © 2013 Science and Education Publishing

Cite this paper:
Mehdi Delkhosh. Introduction of Derivatives and Integrals of Fractional Order and Its Applications. Applied Mathematics and Physics. 2013; 1(4):103-119. doi: 10.12691/amp-1-4-3.

Correspondence to: Mehdi  Delkhosh, Islamic Azad University, Bardaskan Branch, Department of Mathematics, Bardaskan, Iran. Email: mehdidelkhosh@yahoo.com

Abstract

Fractional calculus is a branch of classical mathematics, which deals with the generalization of operations of differentiation and integration to fractional order. Such a generalization is not merely a mathematical curiosity but has found applications in various fields of physical sciences. In this paper, we review the definitions and properties of fractional derivatives and integrals, and we express the prove some of them.

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