Results 51 to 60 of about 1,361,829 (303)
A comprehensive review of the Pachpatte-type inequality pertaining to fractional integral operators [PDF]
Surveys in Mathematics and its ApplicationsIn the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Pachpatte-type inequalities involving a variety
Muhammad Tariq +2 more
doaj
On Some Generalized Fractional Integral Inequalities for p-Convex Functions
Fractal and Fractional, 2019 In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş +3 more
doaj +1 more source
Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]
, 2009 Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
core +1 more source
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
wiley +1 more source
Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]
, 2013 In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S +8 more
core +1 more source
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
wiley +1 more source
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
wiley +1 more source
ON GENERALIZED FRACTIONAL INTEGRALS
Taiwanese Journal of Mathematics, 2001 The author introduces generalized fractional integrals and extends the Hardy-Littlewood-Sobolev theorem to Orlicz spaces. He also investigates the boundedness of generalized fractional integrals from Orlicz spaces to \(\text{BMO}_\varphi(\mathbb{R}^n)\) and from \(\text{BMO}_\varphi(\mathbb{R}^n)\) to \(\text{BMO}_\psi(\mathbb{R}^n)\), where \(\text ...
openaire +4 more sources
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
MathematicsIn this paper, we establish new Milne–Mercer-type inequalities via Atangana–Baleanu conformable fractional integral operators for differentiable functions whose derivatives in absolute value are h-convex.
Jen Chieh Lo
doaj +1 more source