Results 1 to 10 of about 10,463 (309)
Operator Kernel Functions in Operational Calculus and Applications in Fractals with Fractional Operators [PDF]
Fractal and Fractional, 2023 In this study, we delve into the general theory of operator kernel functions (OKFs) in operational calculus (OC). We established the rigorous mapping relation between the kernel function and the corresponding operator through the primary translation ...
Xiaobin Yu, Yajun Yin
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Some new applications of the fractional integral and four-parameter Mittag-Leffler function. [PDF]
PLoS ONEThe article reveals new applications of the four-parameter Mittag-Leffler function (MLF) in geometric function theory (GFT), using fractional calculus notions.
Ahmad A Abubaker +3 more
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Covariantization of quantized calculi over quantum groups [PDF]
Mathematica Bohemica, 2020 We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
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Noncommutative operational calculus
Electronic Journal of Differential Equations, 1999 Oliver Heaviside's operational calculus was placed on a rigorous mathematical basis by Jan Mikusinski, who constructed an algebraic setting for the operational methods.
Henry E. Heatherly, Jason P. Huffman
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Axioms, 2021 In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus).
Rabha W. Ibrahim, Dumitru Baleanu
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Axioms, 2022 Fractional calculus has a number of applications in the field of science, specially in mathematics. In this paper, we discuss some applications of fractional differential operators in the field of geometric function theory.
Mohammad Faisal Khan +4 more
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The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
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Hahn Laplace transform and its applications
Demonstratio Mathematica, 2023 Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
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Journal of Taibah University for Science, 2022 A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized.
Rabha W. Ibrahim, Dumitru Baleanu
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A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences
Journal of Inequalities and Applications, 2016 Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci +3 more
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