Open AccessAnalytical solutions of generalized differential equations using quadratic-phase Fourier transform
Author(s) -
Firdous A. Shah,
Waseem Z. Lone,
Kottakkaran Sooppy Nisar,
Amany Salah Khalifa
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022111
Subject(s) - fourier transform , laplace transform , mathematics , quadratic equation , mathematical analysis , phase (matter) , physics , geometry , quantum mechanics
The aim of this study is to obtain the analytical solutions of some prominent differential equations including the generalized Laplace, heat and wave equations by using the quadratic-phase Fourier transform. To facilitate the narrative, we formulate the preliminary results vis-a-vis the differentiation properties of the quadratic-phase Fourier transform. The obtained results are reinforced with illustrative examples.