Results 61 to 70 of about 692,681 (370)
Multivariate fractional Poisson processes and compound sums
, 2015 In this paper we present multivariate space-time fractional Poisson processes by considering common random time-changes of a (finite-dimensional) vector of independent classical (non-fractional) Poisson processes.
Beghin, Luisa, Macci, Claudio
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Fractional Complex Transform for Fractional Differential Equations [PDF]
Mathematical and Computational Applications, 2010 Fractional complex transform is proposed to convert fractional differential equations into ordinary differential equations, so that all analytical methods devoted to advanced calculus can be easily applied to fractional calculus. Two examples are given.
Zheng-Biao Li, Ji-Huan He
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Linear fractional differential equations and eigenfunctions of fractional differential operators [PDF]
Computational and Applied Mathematics, 2016 Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can be used to express the analytical solution of some linear sequential fractional differential equations.
Eliana Contharteze Grigoletto +2 more
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FEBS Letters, EarlyView.Phytohormone brassinosteroid‐induced gene regulation by the transcription factor BIL1/BZR1 involves redox‐dependent DNA‐binding alternation and interaction with the transcription factor PIF4. The reduced BIL1/BZR1 dimer binds preferred cis‐elements, while oxidation alters its oligomerization state and disrupts DNA‐binding ability.
Shohei Nosaki +4 more
wiley +1 more source
Random walk models associated with distributed fractional order differential equations
, 2006 In this paper the multi-dimensional random walk models governed by distributed fractional order differential equations and multi-term fractional order differential equations are constructed. The scaling limits of these random walks to a diffusion process
Steinberg, Stanly, Umarov, Sabir
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Mixed Collocation for Fractional Differential Equations
Numerical Algorithms, 2003 This paper is concerned with the numerical solution of the initial value problem for the fractional differential equation of order \( \beta, \) \(( 0 < \beta < 1 )\) given by \( D^{\beta} ( u - u_0) = \Phi ( u(t), t), t>0 \), with \( u - u_0 = 0, t \leq 0\) where \( \Phi \) is a sufficiently regular function and \( D^{\beta}\) is the fractional ...
Dubois, François, Mengué, Stéphanie
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Journal of Taibah University for Science, 2020 This research work is dedicated to an investigation of the existence and uniqueness of a class of nonlinear ψ-Caputo fractional differential equation on a finite interval , equipped with nonlinear ψ-Riemann–Liouville fractional integral boundary ...
Samiha Belmor, C. Ravichandran, F. Jarad
semanticscholar +1 more source
Structural dynamics of the plant hormone receptor ETR1 in a native‐like membrane environment
FEBS Letters, EarlyView.The present study unveils the structural and signaling dynamics of ETR1, a key plant ethylene receptor. Using an optimized nanodisc system and solution NMR, we captured full‐length ETR1 in a native‐like membrane environment. Our findings reveal dynamic domain uncoupling and Cu(I)‐induced rigidification, providing the first evidence of metal‐triggered ...
Moritz Lemke +2 more
wiley +1 more source
On the Singular Perturbations for Fractional Differential Equation [PDF]
The Scientific World Journal, 2014 The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the Laplace transform operator to derive exact solution of singular perturbation fractional linear ...
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FEBS Letters, EarlyView.Mutations in the C9orf72 gene represent the most common genetic cause of amyotrophic lateral sclerosis (ALS), a fatal neurodegenerative disease. Using patient‐derived neurons and C. elegans models, we find that the nucleoporin Nup107 is dysregulated in C9orf72‐associated ALS. Conversely, reducing Nup107 levels mitigates disease‐related changes.
Saygın Bilican +7 more
wiley +1 more source