BMC Systems Biology, ISSN 1752-0509, 12/2018, Volume 12, Issue Suppl 9, pp. 122 - 19

BackgroundEvidences have increasingly indicated that lncRNAs (long non-coding RNAs) are deeply involved in important biological regulation processes leading to...

Laplacian normalization | LncRNA similarity network | Bi-random walk | Disease similarity network | LONG NONCODING RNAS | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Usage | Research | RNA | Laplacian operator | Construction | State of the art | Similarity | Disease | Liver | Lung cancer | Random walk | Genes | Breast cancer | Biological activity | Diseases | Liver cancer | Algorithms | Biopsy | Semantics | Computer applications | Cell cycle | Predictions | Random walk theory | Trends | Bioinformatics | Cancer

Laplacian normalization | LncRNA similarity network | Bi-random walk | Disease similarity network | LONG NONCODING RNAS | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Usage | Research | RNA | Laplacian operator | Construction | State of the art | Similarity | Disease | Liver | Lung cancer | Random walk | Genes | Breast cancer | Biological activity | Diseases | Liver cancer | Algorithms | Biopsy | Semantics | Computer applications | Cell cycle | Predictions | Random walk theory | Trends | Bioinformatics | Cancer

Journal Article

BERNOULLI, ISSN 1350-7265, 11/2019, Volume 25, Issue 4A, pp. 2920 - 2948

The main result of this paper is the rate of convergence to Hermite-type distributions in non-central limit theorems. To the best of our knowledge, this is the...

FIELDS | Hermite-type distribution | long-range dependence | APPROXIMATION | non-central limit theorems | rate of convergence | STATISTICS & PROBABILITY | ASYMPTOTICS | random field | FUNCTIONALS

FIELDS | Hermite-type distribution | long-range dependence | APPROXIMATION | non-central limit theorems | rate of convergence | STATISTICS & PROBABILITY | ASYMPTOTICS | random field | FUNCTIONALS

Journal Article

Computers & Mathematics with Applications, ISSN 0898-1221, 11/2017, Volume 74, Issue 10, p. 2253

In this paper, we consider a numerical approach based on the matrix transfer method for numerical solution of multi-term time-fractional diffusion equations...

Studies | Operators (mathematics) | Numerical analysis | Computer simulation | Numerical methods | Mathematical models | Finite element analysis | Convergence | Finite difference method

Studies | Operators (mathematics) | Numerical analysis | Computer simulation | Numerical methods | Mathematical models | Finite element analysis | Convergence | Finite difference method

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2019, Volume 345, pp. 515 - 534

In this paper we consider the analytical and numerical solutions for a two-dimensional multi-term time-fractional diffusion and diffusion-wave equation. We...

Energy method | Multi-term time-fractional diffusion equation | Numerical method | Stability | Method of separation of variables | Convergence | FOKKER-PLANCK EQUATION | ANOMALOUS DIFFUSION | MATHEMATICS, APPLIED | APPROXIMATION | PARTIAL-DIFFERENTIAL-EQUATIONS

Energy method | Multi-term time-fractional diffusion equation | Numerical method | Stability | Method of separation of variables | Convergence | FOKKER-PLANCK EQUATION | ANOMALOUS DIFFUSION | MATHEMATICS, APPLIED | APPROXIMATION | PARTIAL-DIFFERENTIAL-EQUATIONS

Journal Article

Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 05/2019, Volume 35, Issue 3, pp. 875 - 893

In this paper, we consider a two‐dimensional multi‐term time‐fractional Oldroyd‐B equation on a rectangular domain. Its analytical solution is obtained by the...

fractional Oldroyd‐B model | multi‐term time‐fractional derivative | Caputo fractional derivative | finite difference method | multi-term time-fractional derivative | fractional Oldroyd-B model | MATHEMATICS, APPLIED | HEAT-TRANSFER | DIFFERENCE SCHEME | CONSTANTLY ACCELERATING PLATE | MHD FLOW | STOKES | TRANSPORT | 1ST PROBLEM | DIFFUSION | GENERALIZED BURGERS FLUID | Mathematical models | Approximation | Numerical methods | Finite difference method

fractional Oldroyd‐B model | multi‐term time‐fractional derivative | Caputo fractional derivative | finite difference method | multi-term time-fractional derivative | fractional Oldroyd-B model | MATHEMATICS, APPLIED | HEAT-TRANSFER | DIFFERENCE SCHEME | CONSTANTLY ACCELERATING PLATE | MHD FLOW | STOKES | TRANSPORT | 1ST PROBLEM | DIFFUSION | GENERALIZED BURGERS FLUID | Mathematical models | Approximation | Numerical methods | Finite difference method

Journal Article

Ultrasound in Obstetrics & Gynecology, ISSN 0960-7692, 10/2018, Volume 52, pp. 259 - 259

Journal Article

7.
Full Text
Fractional-in-time and multifractional-in-space stochastic partial differential equations

Fractional Calculus and Applied Analysis, ISSN 1311-0454, 12/2016, Volume 19, Issue 6, pp. 1434 - 1459

This paper derives the weak-sense Gaussian solution to a family of fractional-in-time and multifractional-in-space stochastic partial differential equations,...

60G12 | 60G22 | Secondary 60G20 | spatiotemporal Hölder continuity | Mittag-Leffler function | Primary 60G60 | Gaussian spatiotemporal white noise measure | 60G17 | Caputo-Djrbashian fractional-in-time derivative | elliptic pseudodifferential operator of variable order | 60G15 | MATHEMATICS, APPLIED | CALCULUS | GENERALIZED RANDOM-FIELDS | MATHEMATICS | ANOMALOUS DIFFUSION | TRANSPORT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DISORDERED MEDIA | spatiotemporal Holder continuity | VARIABLE ORDER | Random noise theory | Stochastic differential equations | Differential equations, Partial | Analysis | White noise | Partial differential equations | Stochastic processes | Continuity (mathematics)

60G12 | 60G22 | Secondary 60G20 | spatiotemporal Hölder continuity | Mittag-Leffler function | Primary 60G60 | Gaussian spatiotemporal white noise measure | 60G17 | Caputo-Djrbashian fractional-in-time derivative | elliptic pseudodifferential operator of variable order | 60G15 | MATHEMATICS, APPLIED | CALCULUS | GENERALIZED RANDOM-FIELDS | MATHEMATICS | ANOMALOUS DIFFUSION | TRANSPORT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DISORDERED MEDIA | spatiotemporal Holder continuity | VARIABLE ORDER | Random noise theory | Stochastic differential equations | Differential equations, Partial | Analysis | White noise | Partial differential equations | Stochastic processes | Continuity (mathematics)

Journal Article

Fractional Calculus and Applied Analysis, ISSN 1311-0454, 10/2016, Volume 19, Issue 5, pp. 1161 - 1199

Fractional (in time and in space) evolution equations defined on Dirichlet regular bounded open domains, driven by fractional integrated in time Gaussian...

60G12 | 60G22 | Secondary 60G20 | Gaussian spatiotemporal white noise measure | Riemannan-Liouville fractional integral and derivative | Dirichlet regular bounded open domains | stochastic boundary value problems | eigenfunction expansion | Mittag-Leffler function | Primary 60G60 | 60G17 | Caputo-Djrbashian fractional-in-time derivative | fractional pseudodifferential elliptic operators | 60G15 | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | NOISE | DRIVEN | DIFFUSION EQUATION | RANDOM-FIELDS | MATHEMATICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | RANDOM-WALK | WAVE-EQUATIONS | Random noise theory | Stochastic differential equations | Research | Mathematical research

60G12 | 60G22 | Secondary 60G20 | Gaussian spatiotemporal white noise measure | Riemannan-Liouville fractional integral and derivative | Dirichlet regular bounded open domains | stochastic boundary value problems | eigenfunction expansion | Mittag-Leffler function | Primary 60G60 | 60G17 | Caputo-Djrbashian fractional-in-time derivative | fractional pseudodifferential elliptic operators | 60G15 | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | NOISE | DRIVEN | DIFFUSION EQUATION | RANDOM-FIELDS | MATHEMATICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | RANDOM-WALK | WAVE-EQUATIONS | Random noise theory | Stochastic differential equations | Research | Mathematical research

Journal Article

Fractional Calculus and Applied Analysis, ISSN 1311-0454, 01/2016, Volume 19, Issue 5, pp. 1161 - 1199

Fractional (in time and in space) evolution equations defined on Dirichlet regular bounded open domains, driven by fractional integrated in time Gaussian...

Functions (mathematics) | Asymptotic properties | Mathematical analysis | Eigenvalues | Dirichlet problem | Evolution | Calculus | Polynomials

Functions (mathematics) | Asymptotic properties | Mathematical analysis | Eigenvalues | Dirichlet problem | Evolution | Calculus | Polynomials

Journal Article

Physics Letters B, ISSN 0370-2693, 09/2012, Volume 716, Issue 1, pp. 1 - 29

A search for the Standard Model Higgs boson in proton–proton collisions with the ATLAS detector at the LHC is presented. The datasets used correspond to...

TRANSVERSE-MOMENTUM | BROKEN SYMMETRIES | PARTON DISTRIBUTIONS | MASSES | DECAY | ASTRONOMY & ASTROPHYSICS | QCD CORRECTIONS | TAU | PHYSICS, NUCLEAR | COLLIDERS | PHYSICS, PARTICLES & FIELDS | Collisions (Nuclear physics) | Analysis | Standards | Detectors | Searching | Decay | Elementary particles | Higgs bosons | Standard deviation | Channels | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Qcd Corrections | Hadron Colliders | Transverse-Momentum | Massless Particles | Gauge Fields | Proton-Proton Collisions | Fysik | Broken Symmetries | Physical Sciences | Naturvetenskap | Parton Distributions | Root-S=7 Tev | Natural Sciences | Cross-Sections

TRANSVERSE-MOMENTUM | BROKEN SYMMETRIES | PARTON DISTRIBUTIONS | MASSES | DECAY | ASTRONOMY & ASTROPHYSICS | QCD CORRECTIONS | TAU | PHYSICS, NUCLEAR | COLLIDERS | PHYSICS, PARTICLES & FIELDS | Collisions (Nuclear physics) | Analysis | Standards | Detectors | Searching | Decay | Elementary particles | Higgs bosons | Standard deviation | Channels | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Qcd Corrections | Hadron Colliders | Transverse-Momentum | Massless Particles | Gauge Fields | Proton-Proton Collisions | Fysik | Broken Symmetries | Physical Sciences | Naturvetenskap | Parton Distributions | Root-S=7 Tev | Natural Sciences | Cross-Sections

Journal Article

Physics Letters B, ISSN 0370-2693, 10/2013, Volume 726, Issue 1-3, pp. 88 - 119

Measurements are presented of production properties and couplings of the recently discovered Higgs boson using the decays into boson pairs, , and . The results...

TRANSVERSE-MOMENTUM | BROKEN SYMMETRIES | DECAY | ASTRONOMY & ASTROPHYSICS | QCD CORRECTIONS | MASS | PHYSICS, NUCLEAR | COLLIDERS | PHYSICS, PARTICLES & FIELDS | Measurement | Detectors | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

TRANSVERSE-MOMENTUM | BROKEN SYMMETRIES | DECAY | ASTRONOMY & ASTROPHYSICS | QCD CORRECTIONS | MASS | PHYSICS, NUCLEAR | COLLIDERS | PHYSICS, PARTICLES & FIELDS | Measurement | Detectors | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Journal Article

Physics Letters B, ISSN 0370-2693, 10/2013, Volume 726, Issue 1-3, pp. 120 - 144

Studies of the spin and parity quantum numbers of the Higgs boson are presented, based on proton–proton collision data collected by the ATLAS experiment at the...

Spin | Parity | Higgs boson | BROKEN SYMMETRIES | MASSES | LHC | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | GAUGE | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Spin | Parity | Higgs boson | BROKEN SYMMETRIES | MASSES | LHC | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | GAUGE | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Journal Article