Results 71 to 80 of about 517,707 (303)
Fractional resolvents and fractional evolution equations
Applied Mathematics Letters, 2012 The authors generalize the notion of strongly continuous semigroups to fractional differential equations and define the fractional resolvent. After establishing a few properties of this resolvent, the authors apply the results to a fractional-order abstract evolution equation.
Kexue Li, Jigen Peng
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Fractional Derivatives and the Fundamental Theorem of Fractional Calculus [PDF]
Fractional Calculus and Applied Analysis, 2020 In this paper, we address the one-parameter families of the fractional integrals and derivatives defined on a finite interval. First we remind the reader of the known fact that under some reasonable conditions, there exists precisely one unique family of the fractional integrals, namely, the well-known Riemann-Liouville fractional integrals.
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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The fractional chromatic number of triangle-free subcubic graphs [PDF]
, 2014 Heckman and Thomas conjectured that the fractional chromatic number of any triangle-free subcubic graph is at most 14 / 5. Improving on estimates of Hatami and Zhu and of Lu and Peng, we prove that the fractional chromatic number of any triangle-free ...
Král’, Daniel +5 more
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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The Periodogram of fractional processes [PDF]
, 2007 We analyse asymptotic properties of the discrete Fourier transform and the periodogram of time series obtained through (truncated) linear filtering of stationary processes.
Velasco Gómez, Carlos +2 more
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Journal of the Egyptian Women’s Dermatologic SocietyIntroduction Alopecia areata (AA) is an autoimmune noncicatricial alopecia. Many treatments are available but with variable results. Few studies have reported fractional carbon dioxide (FCO2) laser and cryotherapy in treating AA through various ...
Ahmed A. Afify +2 more
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Bernoulli's polynomials Approach for Special Type of Integro Differential Equation
Al-Mustansiriyah Journal of Science, 2022 In this paper, Bernoulli's polynomials approach is employed for solving approximately linear Fractional Fredholm integro-differential equations via Petrove-Glerkain method. The Fractional derivatives are described in the sense Caputo.
Akram Abdalwahid Ahmed +1 more
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Robust stability of a class of uncertain fractional order linear systems with pure delay
Archives of Control Sciences, 2015 The paper considers the robust stability problem of uncertain continuous-time fractional order linear systems with pure delay in the following two cases: a) the state matrix is a linear convex combination of two known constant matrices, b) the state ...
Busłowicz Mikołaj, Ruszewski Andrzej
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