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

Publication Date: 03/04/2024

DOI: 10.52589/AJSTE-3EVF5SPX


Author(s): Kalu Uchenna.
Volume/Issue: Volume 4, Issue 1 (2024)
Page No: 52-66
Journal: Advanced Journal of Science, Technology and Engineering (AJSTE)


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 equation, Mittag-Leffler function, Riemann-Liouville fractional equations, Caputo derivative, Fourier transforms.

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