Hüseyi̇n Irmak, "Various Implications of Fractional Calculus of Arbitrary Order for Mittag-leffler Functions With Complex Parameters," Engineering World, vol. 7, pp. 22-29, 2025, DOI:10.37394/232025.2025.7.3
Hüseyi̇n Irmak. Various Implications of Fractional Calculus of Arbitrary Order for Mittag-leffler Functions With Complex Parameters.
Engineering World. 2025;7:22-29. 10.37394/232025.2025.7.3
Engineering World
E-ISSN: 2692-5079 An Open Access, Peer Reviewed Journal of Selected Publications in Engineering and Applied Sciences
Volume 7, 2025
Various Implications of Fractional Calculus of Arbitrary Order for Mittag-leffler Functions With Complex Parameters
Author:
Abstract: In this scientific document, fundamental information about the renowned Mittag-Leffler functions, which play significant roles in science and engineering, particularly in mathematics, will be presented. Essential background on the fractional calculus of arbitrary order associated with these functions will then be provided. This investigation will subsequently focus on the complex-parameter forms of these functions, followed by the presentation of specific results related to their fractional-order computations.
Keywords:
Analytic functions, Operators, the Mittag-Leffler functions, Fractional calculus of arbitrary order, Complex-type power series
Pages: 22-29 DOI: 10.37394/232025.2025.7.3WSEAS Transactions on Engineering World, E-ISSN: 2692-5079, Volume 7, 2025, Art. #3
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