Fractional calculus and Sinc methods Fractional Calculus and Applied Analysis
Fractional Calculus in Analysis, Dynamics and Optimal Control Nova Science Publishers
In the context of forward uncertainty quantification, we investigate the convergence of the Galerkin projections for random fractional differential equations. The governing system is formed by a finite set of independent input random parameters (a germ) and by a fractional derivative in the Caputo sense. Input uncertainty arises from biased measurements, and a fractional derivative, defined by.
(PDF) Applied Mathematics and Fractional Calculus
Fractional calculus is the eld of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. The term fractional is a misnomer, but it is retained following the prevailing use. The fractional calculus may be considered an old and yet novel topic.
(PDF) Local Fractional Calculus of One‐variable Function
Weak solvability of the variable-order subdiffusion equation. Andrii Hulianytskyi. Page range: 920-934. More. Cite this. Volume 23, issue 3 of the journal Fractional Calculus and Applied Analysis was published in 2020.
(PDF) Fractional Calculus, Fractional Differential Equations and Applications
Fractional Calculus Theory and Applications (Paperback)
Existence of local solutions for fractional difference equations with left focal boundary conditions. Johnny Henderson, Jeffrey T. Neugebauer. Page range: 324-331. More. Cite this. Download PDF. Volume 24, issue 1 of the journal Fractional Calculus and Applied Analysis was published in 2021.
Fractional calculus applied in solving instability phenomenon in flui…
The journal was founded in 1998 and published during 1998 - 2010 by the Institute of Mathematics and Informatics - Bulgarian Academy of Sciences, Sofia, with the valuable support of its Founding Editors, among them - the pioneers of the contemporary fractional calculus (in the lists of Honorary Founding Editors and Honorary Editors).
Fractional Calculus in Applied Sciences and Engineering
Fractional Calculus and Applied Analysis (FCAA) CONTENTS Vol. 1 (1998) - Vol. 13 (2010) Editor-in-Chief: Virginia Kiryakova Founding Publisher (1998-2010): Institute of Mathematics and Informatics. SHIFT OPERATORS AND FRACTIONAL CALCULUS. 279 S. B. Yakubovich, L. D. Gusarevich
Fractional Calculus Applications Nova Science Publishers
Historical notes. In applied mathematics and mathematical analysis, a fractional derivative is a derivative of any arbitrary order, real or complex. Its first appearance is in a letter written to Guillaume de l'Hôpital by Gottfried Wilhelm Leibniz in 1695. Around the same time, Leibniz wrote to one of the Bernoulli brothers describing the similarity between the binomial theorem and the.
(PDF) Some fractional calculus findings associated with the Ifunctions
In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and at the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to the study of integrals and derivatives of arbitrary order, which unifies and generalizes the classical notions of differentiation and integration.
(PDF) Fractional calculus for power functions and eigenvalues of the fractional Laplacian
Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order.
Numerical Methods for Fractional Calculus UK education collection
In essence, fractional calculus theory is a mathematical analysis tool applied to studying integrals and derivatives of arbitrary order, which unifies and generalizes the classical notions of differentiation and integration. That is why applying fractional calculus theory has become a focus of international academic research.
(PDF) Basics of fractional calculus and fractional order differential equations
Two Stefan's problems for the diffusion fractional equation are solved, where the fractional derivative of order $ \al \in (0,1) $ is taken in the Caputo's sense. The first one has a constant.
Fractional Calculus in Medical and Health Science Taylor & Francis Group
Fractional Calculus & Applied Analisys - An International Journal for Theory and Applications. Contents and Abstracts of Vol. 17 (2014) Vol. 16 (2013). All rights on the title of "Fractional Calculus and Applied Analysis" / "FCAA", abbreviations, logos, graphical design,.
(PDF) "Essence of FRACTIONAL CALCULUS in applied sciences PartI/II" WORK SHOP ON FRACTIONAL
Scope. Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order.
(PDF) From Wavelet Analysis to Fractional Calculus A Review
Publicly Available October 31, 2017. Benchmark problems for Caputo fractional-order ordinary differential equations. Dingyü Xue, Lu Bai. Page range: 1305-1312. More. Cite this. Download PDF. Volume 20, issue 5 of the journal Fractional Calculus and Applied Analysis was published in 2017.
Fractional calculus and Sinc methods Fractional Calculus and Applied Analysis
topics of applied mathematics, including diffusion and wave problems, asymptotic methods, integral transforms, special functions, fractional calculus and non-Gaussian stochastic processes. At present his h-index is more than 50. He has published more than 150 refereed papers and some books as an author or editor.
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