Results 61 to 70 of about 611,053 (243)
Fractional calculus and the ESR test
AIMS Mathematics, 2017 19 pages and 2 ...
J. Vanterler da C. Sousa +2 more
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Advanced materials modelling via fractional calculus: challenges and perspectives
Philosophical Transactions of the Royal Society A, 2020 Fractional calculus is now a well-established tool in engineering science, with very promising applications in materials modelling. Indeed, several studies have shown that fractional operators can successfully describe complex long-memory and multiscale ...
G. Failla, M. Zingales
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Fuzzy clustering to classify several regression models with fractional Brownian motion errors
Alexandria Engineering Journal, 2020 Clustering regression models fitted on the dataset is one of the most ubiquitous issues in different fields of sciences. In this research, fuzzy clustering method is used to cluster regression models with fractional Brownian motion errors that can be ...
Mohammad Reza Mahmoudi +2 more
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Non-local fractional model of rate independent plasticity [PDF]
, 2013 In the paper the generalisation of classical rate independent plasticity using fractional calculus is presented. This new formulation is non-local due to properties of applied fractional differential operator during definition of kinematics.
Sumelka, Wojciech
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A fractional power approach to fractional calculus
Journal of Mathematical Analysis and Applications, 1990 AbstractA theory of fractional powers of operators on an arbitrary Fréchet space is discussed. As special cases, multivariable fractional integrals and derivatives defined on certain spaces of test functions and generalised functions are obtained. In particular, properties of the two-dimensional Riesz fractional integral are determined and used to ...
S.E Schiavone, Wilson Lamb
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On New Unified Bounds for a Family of Functions via Fractional q-Calculus Theory
Journal of Function Spaces, 2020 The present article deals with the new estimates in q-calculus and fractional q-calculus on a time scale Tt0=0∪t:t=t0qn,n is a nonnegative integer, where t0∈ℝ and ...
Li Xu +4 more
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A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators [PDF]
Computational and Applied Mathematics, 2020 We define an analogue of the classical Mittag-Leffler function which is applied to two variables, and establish its basic properties. Using a corresponding single-variable function with fractional powers, we define an associated fractional integral ...
A. Fernandez +2 more
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Journal of MathematicsIn this paper, we study the existence and uniqueness of solutions for impulsive Atangana-Baleanu-Caputo ABC fractional integro-differential equations with boundary conditions.
Panjaiyan Karthikeyann +4 more
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Joining Spacetimes on Fractal Hypersurfaces
, 2018 The theory of fractional calculus is attracting a lot of attention from mathematicians as well as physicists. The fractional generalisation of the well-known ordinary calculus is being used extensively in many fields, particularly in understanding ...
Anand, Ankit, Chatterjee, Ayan
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A survey on fractional variational calculus [PDF]
, 2019 This is a preprint of a paper whose final and definite form is in 'Handbook of Fractional Calculus with Applications. Vol 1: Basic Theory', De Gruyter.
Almeida, Ricardo, Torres, Delfim F. M.
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