Solution to Fourier Transforms Method to Complex Variable of Non-homogeneous Fractional Differential Equations

Kalu Uchenna

doi:10.52589/AJSTE-3EVF5SPX

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Solution to Fourier Transforms Method to Complex Variable of Non-homogeneous Fractional Differential Equations

Publication Date: 2024-04-03

DOI: 10.52589/AJSTE-3EVF5SPX

Volume/Issue: Volume 4, Issue 1 (2024)

Page No: 52 - 66

Journal: Advanced Journal of Science, Technology and Engineering

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Abstract:

This work is devoted to the study of fractional differential equations involving Caputo non-homogeneous fractional differential equations. Using Fourier transform method, a complex variable explicit solution to non-homogeneous second-order fractional differential equation was obtained.

Keywords:Fractional differential equationMittag-Leffler functionRiemann-Liouville fractional equationsCaputo derivativeFourier transforms.

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All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.