TY - JOUR
T1 - Certain new proportional and Hadamard proportional fractional integral inequalities
AU - Rahman, Gauhar
AU - Nisar, Kottakkaran Sooppy
AU - Abdeljawad, Thabet
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021
Y1 - 2021
N2 - The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional integral. We establish certain inequalities concerning one- and two-parameter proportional and Hadamard proportional fractional integrals. We also discuss certain particular cases.
AB - The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional integral. We establish certain inequalities concerning one- and two-parameter proportional and Hadamard proportional fractional integrals. We also discuss certain particular cases.
KW - Chebyshev functional
KW - Fractional integral inequalities
KW - Fractional integrals
KW - Hadamard proportional fractional integrals
KW - Proportional fractional integrals
UR - https://www.scopus.com/pages/publications/85104231948
U2 - 10.1186/s13660-021-02604-z
DO - 10.1186/s13660-021-02604-z
M3 - Article
AN - SCOPUS:85104231948
SN - 1025-5834
VL - 2021
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
IS - 1
M1 - 71
ER -