Results 1 to 10 of about 1,220,062 (289)
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 ...
Yajun Yin
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Operational Calculus for the General Fractional Derivatives of Arbitrary Order
Mathematics, 2022 In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin.
Maryam Alkandari, Yuri Luchko
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Operational Calculus for the 1st-Level General Fractional Derivatives and Its Applications
MathematicsThe 1st-level General Fractional Derivatives (GFDs) combine in one definition the GFDs of the Riemann–Liouville type and the regularized GFDs (or the GFDs of the Caputo type) that have been recently introduced and actively studied in the fractional ...
Maryam Alkandari, Yuri Luchko
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On the solutions of some fractional q-differential equations with the Riemann-Liouville fractional q-derivative [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 This paper is devoted to explicit and numerical solutions to linear fractional q-difference equations and the Cauchy type problem associated with the Riemann-Liouville fractional q-derivative in q-calculus.
S. Shaimardan, N.S. Tokmagambetov
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A Provenance Tracking Model for Data Updates [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 For data-centric systems, provenance tracking is particularly important when the system is open and decentralised, such as the Web of Linked Data. In this paper, a concise but expressive calculus which models data updates is presented.
Gabriel Ciobanu, Ross Horne
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The main provisions of the operational calculus based on the convolution algebra of distributions D+ and D− that extends this method to the negative values of the argument are given.
Iosif L Kogan
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An Operational Approach to Fractional Scale-Invariant Linear Systems
Fractal and Fractional, 2023 The fractional scale-invariant systems are introduced and studied, using an operational formalism. It is shown that the impulse and step responses of such systems belong to the vector space generated by some special functions here introduced.
Gabriel Bengochea +1 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 We consider the Mikusinski operational calculus based on the convolution algebra of distributions D′+ and D′−. We state and prove the basic theorems, and give examples of Mikusinski operational calculus using, which demonstrate its additional ...
I. L. Kogan
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First Class Call Stacks: Exploring Head Reduction [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 Weak-head normalization is inconsistent with functional extensionality in the call-by-name λ-calculus. We explore this problem from a new angle via the conflict between extensionality and effects. Leveraging ideas from work on the λ-calculus with control,
Philip Johnson-Freyd +2 more
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q-Calculus as operational algebra; pp. 73–97 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354â374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
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