Results 21 to 30 of about 1,039,370 (289)
On The Solution of Certain Fractional Integral Equations [PDF]
Kirkuk Journal of Science, 2006 In this paper we introduce the linear operator of fractional integral equation of the second kind (FIESK) in the framework of the Riemann-Liouville fractional calculus.
Suha N. Al-Rawi
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Fractional Coins and Fractional Derivatives [PDF]
Abstract and Applied Analysis, 2013 This paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. Based on the new conceptual perspective, some experiments are performed shading new light into possible ...
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Calculus of Variations and Partial Differential Equations, 2013 We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.
Lindgren, Erik, Lindqvist, Peter
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Application of the Lagrange-Sylvester formula to computation of the solution to state equations of fractional linear systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 The Lagrange-Sylvester formula is applied to the computation of the solutions of state equations of fractional continuous-time and discrete-time linear systems.
Tadeusz Kaczorek
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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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, 2017 Protein function is generally dependent on its subcellular localisation. In Gram-negative bacteria such as Escherichia coli, a protein can be targeted to five different compartments: the cytoplasm, the inner membrane, the periplasm, the outer membrane and the extracellular medium.
Petiti, Melissa +2 more
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Some q-Fractional Estimates of Trapezoid like Inequalities Involving Raina’s Function
Fractal and Fractional, 2022 In this paper, we derive two new identities involving q-Riemann-Liouville fractional integrals. Using these identities, as auxiliary results, we derive some new q-fractional estimates of trapezoidal-like inequalities, essentially using the class of ...
Kamsing Nonlaopon +4 more
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A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2022 The classical Cayley–Hamilton theorem is extended to fractional different order linear systems. The new theorems are applied to different orders fractional linear electrical circuits. The applications of new theorems are illustrated by numerical examples.
Tadeusz Kaczorek
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Fractal and FractionalThis paper focuses on the application of fractional calculus techniques in the identification and control of multivariable (multiple input—multiple output) systems (MIMO).
Alexandre Marques de Almeida +4 more
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Positivity of fractional descriptor linear continuous-time systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019 The positivity of fractional descriptor linear continuous-time systems is investigated. The solution to the state equation of the systems is derived. Necessary and sufficient conditions for the positivity of fractional descriptor linear continuous-time ...
T. Kaczorek
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