The generalized continuous wavelet transform associated with the fractional Fourier transform

• Autores: Akhilesh Prasad, Santanu Manna, Ashutosh Mahato, V. K. Singh
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 259, Nº 2, 2014, págs. 660-671
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.04.016
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• Resumen

  • The main objective of this paper is to study the fractional Fourier transform (FrFT ) and the generalized continuous wavelet transform and some of their basic properties. Applications of the FrFT in solving generalized nth-order linear nonhomogeneous ordinary differential equations and a generalized wave equation are given. The generalized continuous wavelet transform, and its inversion formula, and the Parseval relation are also studied using the fractional Fourier transform.