TY - JOUR
T1 - Some Results of Conformable Fourier Transform
AU - Rachid, Bahloul
AU - My Soufiane, Rechdaoui
AU - Abdeljawad, Thabet
AU - Abdalla, Bahaaeldin
N1 - Publisher Copyright:
© 2024 The Author(s).
PY - 2024/10
Y1 - 2024/10
N2 - Based on a new definition of α-periodicals functions with 0 < α ≤ 1 introduced by Khalil et al (2014), we introduce a new definition of conformable Fourier transform for such a class of functions. Further, we establish some operational formulas, and we set the relation between the newly defined conformable Fourier transform and the classical Fourier transform. Finally, some classical results of periodical functions are obtained and some illustrative examples are constructed.
AB - Based on a new definition of α-periodicals functions with 0 < α ≤ 1 introduced by Khalil et al (2014), we introduce a new definition of conformable Fourier transform for such a class of functions. Further, we establish some operational formulas, and we set the relation between the newly defined conformable Fourier transform and the classical Fourier transform. Finally, some classical results of periodical functions are obtained and some illustrative examples are constructed.
KW - Conformable Fourier transform
KW - Conformable derivative
KW - Conformable fractional integral
KW - α-periodic function
UR - http://www.scopus.com/inward/record.url?scp=85208728189&partnerID=8YFLogxK
U2 - 10.29020/nybg.ejpam.v17i4.5411
DO - 10.29020/nybg.ejpam.v17i4.5411
M3 - Article
AN - SCOPUS:85208728189
SN - 1307-5543
VL - 17
SP - 2405
EP - 2430
JO - European Journal of Pure and Applied Mathematics
JF - European Journal of Pure and Applied Mathematics
IS - 4
ER -