Fractional Integration and Differentiation by new Transformation
DOI:
https://doi.org/10.31185/wjps.107Keywords:
Fractional calculus; Extension AL-Zughair Transform; fractional integral, fractional derivative;Abstract
In opposite to differentiation and integration of integer order, an important type of differentiation and integration is the so - called “ Fractional Calculus (FC) ” in which the differentiation and integration is of non-integer order. The idea of this work is to use a new transformation known as the Extension AL-Zughair Transform (EZT) for fractional calculus, so we reviewed some basic properties and definitions of (FC) such as differentiation and integration with Riemann-Liouvial operator. We reinforced this transformation for fractional differentiation and integration with some application examples at the end of the article for simplicity the Fractional Integrals and Fractional Derivatives
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