A matrix approach to multi-term fractional differential equations using two new diffusive representations for the Caputo fractional derivative [PDF]
AUT Journal of Mathematics and ComputingIn the last decade, there has been a surge of interest in application of fractional calculus in various areas such as, mathematics, physics, engineering, mechanics and etc.
Hassan Khosravian-Arab, Mehdi Dehghan
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Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein
FEBS Letters, EarlyView.Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux +7 more
wiley +1 more source
Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models.
PLoS ONEThis study used second-order fractional derivatives to constrain singular Lagrangians to construct comprehensive Hamilton-Dirac equations. Notable contributions include resolving the difficulties associated with fractional derivatives.
Yazen M Alawaideh +2 more
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Metastatic niche shaped by host factors influences disseminated cancer cell fate
FEBS Letters, EarlyView.Metastasis is shaped not only by cancer cells but also by the environments they encounter. This review explores how factors such as aging, diet, the microbiome, lifestyle, and environmental exposures remodel organ‐specific niches in the lung, liver, bone, and brain, influencing where metastatic cells survive, remain dormant, or grow, and ultimately ...
Gwennan Delyth Ward +2 more
wiley +1 more source
A design methodology to enable sampling PLLs to synthesise fractional-N frequencies [PDF]
, 2011 A novel design methodology is proposed to enable sampling phase-locked loops (SPLL) to synthesise fractional-N frequencies. To date, SPLL can only generate integer-N frequencies.
Xu, Tao +2 more
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Abstract and Applied Analysis, 2014 We use the local fractional series expansion method to solve the Klein-Gordon equations on Cantor sets within the local fractional derivatives. The analytical solutions within the nondifferential terms are discussed.
Ai-Min Yang +6 more
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The Impacts of Atangana–Baleanu Fractional Derivative in Biological Tissues during Thermotherapy [PDF]
Journal of Applied and Computational MechanicsThis study investigates thermal damage in living tissue during thermotherapy by employing the bioheat equation under fractional derivatives. The Atangana-Baleanu (AB) derivative is taken into consideration in the fractional-order formulation using non ...
Areej Almuneef +3 more
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Open Mathematics, 2020 In this paper, we consider the Cauchy problem for a second-order nonlinear equation with mixed fractional derivatives related to the fractional Khokhlov-Zabolotskaya equation. We prove the nonexistence of a classical local in time solution.
Jleli Mohamed
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Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
FEBS Letters, EarlyView.What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
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