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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Research on Rock Creep Characteristics Based on the Fractional Calculus Meshless Method
Advances in Civil Engineering, 2018 The application of fractional calculus in the rheological problems has been widely accepted. In this study, the constitutive relationship of the generalized Kelvin model based on fractional calculus was studied, and the meshless method was introduced so ...
Gang Peng, Zhanqing Chen, Jiarui Chen
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N-FRACTIONAL CALCULUS OPERATOR METHOD TO THE EULER EQUATION
Проблемы анализа, 2018 We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the N operator method in the fractional calculus to solve this equation in this paper.
R. Yilmazer, O. Ozturk
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Fractional Calculus in Mexico: The 5th Mexican Workshop on Fractional Calculus (MWFC)
Computer Sciences & Mathematics Forum, 2023 The Mexican Workshop on Fractional Calculus (MWFC) is a bi-annual international workshop and the largest Latin American technical event in the field of fractional calculus in Mexico [...]
Jorge M. Cruz-Duarte +1 more
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A finite element method for time fractional partial differential equations [PDF]
, 2011 This is the authors' PDF version of an article published in Fractional calculus and applied analysis© 2011. The original publication is available at www.springerlink.comThis article considers the finite element method for time fractional differential ...
Ford, Neville J. +2 more
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Fractional Order Sequential Minimal Optimization Classification Method
Fractal and Fractional, 2023 Sequential minimal optimization (SMO) method is an algorithm for solving optimization problems arising from the training process of support vector machines (SVM).
Chunna Zhao, Licai Dai, Yaqun Huang
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A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String [PDF]
, 2010 We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. Main results provide fractional versions of the
Almeida, Ricardo +2 more
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Analysis of GPU Computation of Parabolic, Bessel, Wright and Riemann Zeta Functions [PDF]
ITM Web of Conferences, 2021 This paper deals with GPU computing of special mathematical functions that are used in Fractional Calculus. The graphics processing unit (GPU) has grown to be an integral part of nowadays’s mainstream computing structures.
Jadhav Ashish A. +4 more
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Implementation of fractional order integrator/differentiator on field programmable gate array
Alexandria Engineering Journal, 2016 Concept of fractional order calculus is as old as the regular calculus. With the advent of high speed and cost effective computing power, now it is possible to model the real world control and signal processing problems using fractional order calculus ...
K.P.S. Rana +3 more
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On Weyl fractional calculus [PDF]
Proceedings of the American Mathematical Society, 1979 The Weyl fractional calculus is applied in developing the Laplace transform of t q f ( t ) {t^q}f(t) , for all values of q. Also, a generalized Taylor’s formula in Weyl fractional calculus is established.
Raina, R. K., Koul, C. L.
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