Open AccessA New k-Fractional Integral Operators and their Applications
Author(s) -
Hina Ilyas,
Ghulam Farid
Publication year - 2021
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2021.531104
Subject(s) - mathematics , fractional calculus , riemann integral , daniell integral , fourier integral operator , exponential integral , volume integral , improper integral , exponent , mathematical analysis , chebyshev filter , kernel (algebra) , pure mathematics , integral equation , linguistics , philosophy
In this paper, we present a new k-fractional integral oper-ators involvingparameters γ, λ analogous to the Riemann-Liouville k-fractional integral. This newfractional integral operators dependent on an exponential function of arbitrary exponent inthe kernel of the integral. We prove, certain basic properties such as semi group property,commu-tative law and boundedness for new fractional integral operators. Also, we discussChebyshev type inequalities and some k-fractional integral in-equalities corresponding tothe new k-fractional integral operators