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    New Computation of Unified Bounds via a More General Fractional Operator Using Generalized Mittag–Leffler Function in the Kernel

    Saima Rashid1, Zakia Hammouch2, Rehana Ashraf3, Yu-Ming Chu4,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.126, No.1, pp. 359-378, 2021, DOI:10.32604/cmes.2021.011782

    Abstract 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… More >

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