Some Methods for Solving the Fractional Differential Problem of Two Types of Fractional Functions

Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions, we use some methods to find arbitrary order fractional derivative of two types of fractional functions. Moreover, our results are generalizations of classical calculus results. Keywords: Jumarie’s modified R-L fractional derivative, new multiplication, fractional analytic functions, fractional functions. Title: Some Methods for Solving the Fractional Differential Problem of Two Types of Fractional Functions Author: Chii-Huei Yu International Journal of Interdisciplinary Research and Innovations ISSN 2348-1218 (print), ISSN 2348-1226 (online) Vol. 12, Issue 4, October 2024 - December 2024 Page No: 44-48 Research Publish Journals Website: www.researchpublish.com Published Date: 05-December-2024 DOI: https://doi.org/10.5281/zenodo.14281816 Paper Download Link (Source) https://www.researchpublish.com/papers/some-methods-for-solving-the-fractional-differential-problem-of-two-types-of-fractional-functions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-05
DOI
https://doi.org/10.5281/zenodo.14281815
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

Some Methods for Solving the Fractional Differential Problem of Two Types of Fractional Functions

Zenodo (CERN European Organization for Nuclear Research)
Fractional Differential Equations Solutions
article

Some Methods for Solving the Fractional Differential Problem of Two Types of Fractional Functions

article en

Abstract

Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions, we use some methods to find arbitrary order fractional derivative of two types of fractional functions. Moreover, our results are generalizations of classical calculus results. Keywords: Jumarie’s modified R-L fractional derivative, new multiplication, fractional analytic functions, fractional functions. Title: Some Methods for Solving the Fractional Differential Problem of Two Types of Fractional Functions Author: Chii-Huei Yu International Journal of Interdisciplinary Research and Innovations ISSN 2348-1218 (print), ISSN 2348-1226 (online) Vol. 12, Issue 4, October 2024 - December 2024 Page No: 44-48 Research Publish Journals Website: www.researchpublish.com Published Date: 05-December-2024 DOI: https://doi.org/10.5281/zenodo.14281816 Paper Download Link (Source) https://www.researchpublish.com/papers/some-methods-for-solving-the-fractional-differential-problem-of-two-types-of-fractional-functions

Zenodo (CERN European Organization for Nuclear Research)
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Fractional Differential Equations Solutions
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Some Methods for Solving the Fractional Differential Problem of Two Types of Fractional Functions · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS