TY - EJOU
AU - Rashid, Saima
AU - Hammouch, Zakia
AU - Ashraf, Rehana
AU - Chu, Yu-Ming
TI - New Computation of Unified Bounds via a More General Fractional Operator Using Generalized Mittag–Leffler Function in the Kernel
T2 - Computer Modeling in Engineering \& Sciences
PY - 2021
VL - 126
IS - 1
SN - 1526-1506
AB - In the present case, we propose the novel generalized fractional integral operator describing Mittag–Leffler function
in their kernel with respect to another function Ф. The proposed technique is to use graceful amalgamations
of the Riemann–Liouville (RL) fractional integral operator and several other fractional operators. Meanwhile,
several generalizations are considered in order to demonstrate the novel variants involving a family of positive
functions n (n ∈ N) for the proposed fractional operator. In order to confirm and demonstrate the proficiency
of the characterized strategy, we analyze existing fractional integral operators in terms of classical fractional
order. Meanwhile, some special cases are apprehended and the new outcomes are also illustrated. The obtained
consequences illuminate that future research is easy to implement, profoundly efficient, viable, and exceptionally
precise in its investigation of the behavior of non-linear differential equations of fractional order that emerge in the
associated areas of science and engineering.
KW - Integral inequality; generalized fractional integral with respect to another function; increasing and decreasing functions; Mittag–Leffler function
DO - 10.32604/cmes.2021.011782