Results 51 to 60 of about 591,109 (262)

Sir epidemic and predator - prey models of fractional-order [PDF]

, 2018
Recently, many deterministic mathematical models such as ordinary differential equations have been extended to fractional models, which are transformed using fractional differential equations.
Abiodun Ezekiel, Owoyemi
core  

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
core   +1 more source

Fractional complex transforms for fractional differential equations [PDF]

Advances in Difference Equations, 2012
The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit disk. Examples are illustrated to elucidate the solution procedure including the space-time fractional differential equation in complex domain, singular problems
openaire   +2 more sources

Flow‐based immunomagnetic enrichment of circulating tumor cells from diagnostic leukapheresis product

Molecular Oncology, EarlyView.
The number of circulating tumor cells obtained from prostate cancer patients was increased approximately 5‐fold compared to regular CellSearch when processing 2 mL diagnostic leukapheresis material aliquots and increased by 44‐fold when processing 20 mL DLA aliquots using the flow enrichment target capture Halbach‐array.
Michiel Stevens, Anouk Mentink, Frank A. W. Coumans, Eshwari Dathathri, Khrystany T. Isebia, Jaco Kraan, Ronald de Wit, John W. M. Martens, Leon W. M. M. Terstappen   +8 more
wiley   +1 more source

Asymptotic behavior of solutions of linear multi-order fractional differential equation systems [PDF]

Fract. Calc. Appl. Anal., Vol. 20, No. 5 (2017), pp. 1165-1195, 2017
In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems.
arxiv   +1 more source

Fractional Vector Calculus and Fractional Maxwell's Equations

, 2011
The theory of derivatives and integrals of non-integer order goes back to Leibniz, Liouville, Grunwald, Letnikov and Riemann. The history of fractional vector calculus (FVC) has only 10 years. The main approaches to formulate a FVC, which are used in the
Belleguie, Ben Adda, Ben Adda, Ben Adda, Ben Adda, Brandt, Chen, Cottrill-Shepherd, Engheta, Foley, Gelfand, Genchev, Hussain, Hussain, Kazbekov, Kilbas, Kiryakova, Laskin, Mashhoon, Mashhoon, Mashhoon, McBride, Meerschaert, Metzler, Metzler, Miller, Montroll, Naqvi, Naqvi, Nishimoto, Oldham, Pierantozzi, Podlubny, Ross, Rubin, Samko, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Vasily E. Tarasov, West, Zaslavsky, Zaslavsky   +55 more
core   +1 more source

Inequalities for fractional differential equations [PDF]

Mathematical Inequalities & Applications, 2009
We consider some differential inequalities involving fractional derivatives in the sense of Riemann-Liouville. Bounds for theses fractional differential inequalities are found using desingularization techniques combined with some generalizations of Bihari-type inequalities. Some applications illustrating the usefulness of our results are also provided.
N. E. T Atar, G. Anastassiou, Khaled M. Furati   +2 more
openaire   +1 more source

Circulating tumor cells in metastatic breast cancer patients treated with immune checkpoint inhibitors – a biomarker analysis of the ALICE and ICON trials

Molecular Oncology, EarlyView.
In this explorative biomarker analysis, we assessed serial sampling of circulating tumor cells (CTCs) with CellSearch in two randomized trials testing immune checkpoint inhibitors (ICIs) in metastatic breast cancer. Our data demonstrate a prognostic potential of CTCs, most apparent 4 weeks into ICI therapy.
Nikolai Kragøe Andresen, Andreas Hagen Røssevold, Elin Borgen, Cecilie Bendigtsen Schirmer, Bjørnar Gilje, Øystein Garred, Jon Lømo, Marius Stensland, Oddmund Nordgård, Ragnhild Sørum Falk, Randi R. Mathiesen, Hege G. Russnes, Jon Amund Kyte, Bjørn Naume   +13 more
wiley   +1 more source

On fractional powers of the Bessel operator on a semiaxis

, 2018
In this paper we study fractional powers of the Bessel differential operator defined on a semiaxis. Some important properties of such fractional powers of the Bessel differential operator are proved.
Shishkina, E. L., Sitnik, S. M.
core   +1 more source

A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer

Molecular Oncology, EarlyView.
Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini, Ezgi Oner, Mark P. Ward, Sinead Hurley, Brian David Henderson, Faye Lewis, Stephen P. Finn, Gerard J. Fitzmaurice, John J. O'Leary, Sharon O'Toole, Lorraine O'Driscoll, Kathy Gately   +11 more
wiley   +1 more source