Analytical solutions of generalized differential equations using quadratic-phase Fourier transform

Firdous A. Shah; Waseem Z. Lone; Kottakkaran Sooppy Nisar; Amany Salah Khalifa

doi:10.3934/math.2022111

AIMS Mathematics (Jan 2022)

Analytical solutions of generalized differential equations using quadratic-phase Fourier transform

Firdous A. Shah ,
Waseem Z. Lone,
Kottakkaran Sooppy Nisar,
Amany Salah Khalifa

Affiliations

Firdous A. Shah: 1. Department of Mathematics, University of Kashmir, South Campus, Anantnag 192101, Jammu and Kashmir, India
Waseem Z. Lone: 1. Department of Mathematics, University of Kashmir, South Campus, Anantnag 192101, Jammu and Kashmir, India
Kottakkaran Sooppy Nisar: 2. Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia
Amany Salah Khalifa: 3. Department of Clinical Pathology and Pharmaceutics, College of Pharmacy, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia

DOI: https://doi.org/10.3934/math.2022111
Journal volume & issue: Vol. 7, no. 2
pp. 1925 – 1940

Abstract

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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.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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