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

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

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Analytical 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 - 2021

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.

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