@article{Shah2022, 
author = {Firdous A. Shah and Waseem Z. Lone and Kottakkaran Sooppy Nisar and Amany Salah Khalifa},
title = {Analytical solutions of generalized differential equations using quadratic-phase Fourier transform},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {1925-1940},
keywords = {quadratic-phase Fourier transform, differentiation theorem, Laplace equation, wave equation, heat equation},
url = {https://www.sciopen.com/article/10.3934/math.2022111},
doi = {10.3934/math.2022111},
abstract = {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.}
}