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  1. Book ; Online: Wavelet Transform and Complexity

    Baleanu, Dumitru

    2019  

    Keywords Applied mathematics
    Size 1 electronic resource (124 pages)
    Publisher IntechOpen
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021049560
    ISBN 9781839626609 ; 1839626607
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  2. Book ; Online: Advances in Differential and Difference Equations with Applications 2020

    Baleanu, Dumitru

    2020  

    Keywords Research & information: general ; Mathematics & science ; dynamic equations ; time scales ; classification ; existence ; necessary and sufficient conditions ; fractional calculus ; triangular fuzzy number ; double-parametric form ; FRDTM ; fractional dynamical model of marriage ; approximate controllability ; degenerate evolution equation ; fractional Caputo derivative ; sectorial operator ; fractional symmetric Hahn integral ; fractional symmetric Hahn difference operator ; Arrhenius activation energy ; rotating disk ; Darcy-Forchheimer flow ; binary chemical reaction ; nanoparticles ; numerical solution ; fractional differential equations ; two-dimensional wavelets ; finite differences ; fractional diffusion-wave equation ; fractional derivative ; ill-posed problem ; Tikhonov regularization method ; non-linear differential equation ; cubic B-spline ; central finite difference approximations ; absolute errors ; second order differential equations ; mild solution ; non-instantaneous impulses ; Kuratowski measure of noncompactness ; Darbo fixed point ; multi-stage method ; multi-step method ; Runge-Kutta method ; backward difference formula ; stiff system ; numerical solutions ; Riemann-Liouville fractional integral ; Caputo fractional derivative ; fractional Taylor vector ; kerosene oil-based fluid ; stagnation point ; carbon nanotubes ; variable thicker surface ; thermal radiation ; differential equations ; symmetric identities ; degenerate Hermite polynomials ; complex zeros ; oscillation ; third order ; mixed neutral differential equations ; powers of stochastic Gompertz diffusion models ; powers of stochastic lognormal diffusion models ; estimation in diffusion process ; stationary distribution and ergodicity ; trend function ; application to simulated data ; n-th order linear differential equation ; two-point boundary value problem ; Green function ; linear differential equation ; exponential stability ; linear output feedback ; stabilization ; uncertain system ; nonlocal effects ; linear control system ; Hilbert space ; state feedback control ; exact controllability ; upper Bohl exponent
    Size 1 electronic resource (348 pages)
    Publisher MDPI - Multidisciplinary Digital Publishing Institute
    Publishing place Basel, Switzerland
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021044567
    ISBN 9783039368716 ; 3039368710
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  3. Book ; Online: Fractional Calculus and its Applications in Physics

    Baleanu, Dumitru / Kumar, Devendra

    2019  

    Keywords Science: general issues ; Physics ; Fractional derivative ; fractional Newell-Whitehead-Segel equation ; fractional advection-dispersion equation ; fractional Laguerre differential equation ; Mittag-Leffler function ; sinc-fractional derivative ; tempered fractionaldifferential equation ; Lévy flight ; Marichev-Saigo-Maeda fractional operator ; scale-dependent fractional operator
    Size 1 electronic resource (93 pages)
    Publisher Frontiers Media SA
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021230798
    ISBN 9782889459582 ; 2889459586
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  4. Book ; Online: Multibody Systems with Flexible Elements

    Marin, Marin / Baleanu, Dumitru / Vlase, Sorin

    2022  

    Keywords Technology: general issues ; History of engineering & technology ; symmetry ; asymmetry ; measure of skewness ; decile ; Monte Carlo algorithm ; Gibbs-Appell ; energy of accelerations ; finite element ; nonlinear system ; elastic elements ; analytical dynamics ; robotics ; Hilbert's inequality ; Fubini theorem ; Fenchel-Legendre transform ; time scale ; fractional derivative ; skin tissues ; thermal damages ; Laplace transforms ; Kane's equations ; planar mechanism ; Lagrange's equations ; dynamics ; finite element method (FEM) ; multibody system (MBS) ; wind water pump ; strands wire rope ; experimental transitory vibrating regime ; stiffness ; damping ; joint time-frequency analysis ; Prony method ; matrix pencil method ; multibody ; propulsion drive ; linear motion ; eccentric trajectory ; reusable launch vehicles ; soft landing ; magnetorheological fluid ; numerical simulation ; multibody systems with flexible elements ; elastic bonds ; vibrations ; initial matrix ; stiffness matrix ; stability ; laser ; nuclear installation ; insulation ; Extreme Light Infrastructure ; gamma ray ; flexible coupling ; bolt ; non-metallic element ; finite element method ; elastic characteristic ; Light Sport Aircraft ; conceptual aircraft design ; wing ; flap ; aileron ; weight estimation ; symmetric profile ; sustainability ; mosquito borne diseases ; Aedes Aegypti ; Wolbachia invasion ; impulsive control ; time scales ; Noether theory ; conserved quantity ; elastic coupling ; non-metallic elements ; dynamic rigidity ; non-collinearly shafts ; n/a
    Language English
    Size 1 electronic resource (280 pages)
    Publisher MDPI - Multidisciplinary Digital Publishing Institute
    Publishing place Basel
    Document type Book ; Online
    Note English
    HBZ-ID HT030380025
    ISBN 9783036552576 ; 303655257X
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  5. Book ; Online: Wavelet Transform and Some of Its Real-World Applications

    Baleanu, Dumitru

    2015  

    Keywords Applied mathematics ; Mathematical modelling
    Size 1 electronic resource (134 pages)
    Publisher IntechOpen
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021045297
    ISBN 9789535157670 ; 9535157671
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  6. Book ; Online: Symmetry in Applied Continuous Mechanics

    Baleanu, Dumitru / Marin, Marin / Vlase, Sorin

    2020  

    Keywords History of engineering & technology ; exact solutions ; the generalized Benjamin-Bona-Mahony equation ; generalized exponential rational function method ; solitary wave solutions ; symbolic computation ; Thomson effect ; initial stress ; magneto-thermoelastic ; voids ; normal mode method ; G-N theory ; eigenvalue problem ; axisymmetric and non-axisymmetric vibrations ; multiparametric special functions ; circular plate ; functionally graded porous material ; initially stressed bodies ; dipolar structure ; volume fraction ; domain of influence ; chaotic time series prediction ; neural network ; firefly algorithm ; CEEMDAN ; VMD ; symmetric geometry ; guitar's plate ; modal analysis ; skew symmetric eigenmodes ; comparison ; Friedman test ; linear regression ; nonlinear regression ; sign test ; symmetric errors ; Wilcoxon test ; coefficient of variation ; ratio ; symmetric and asymmetric distributions ; test of hypothesis ; multi-body system ; finite element method (FEM) ; linear elastic elements ; Lagrange's equations ; two-dimensional finite element ; plane motion ; backward in time problem ; dipolar thermoelastic body ; uniqueness of solution ; Cesaro means ; partition of energies ; α-fractional calculus ; vibration isolation ; fractional-order differential equation ; rubber-like elastomers ; Riemann-Liouville/Caputo/Grünwald-Letnikov fractional derivative ; advanced mechanics ; analytical dynamics ; acceleration energies ; robotics ; viscoelasticity ; type III thermal law ; finite elements ; error estimates ; numerical results ; symmetry ; topology ; mechanical structures ; robots ; vibration ; mechanical engineering ; applied mechanics ; bird-strike impact ; composite laminate ; damage equivalency ; fan blade ; symmetrical configurations
    Size 1 electronic resource (232 pages)
    Publisher MDPI - Multidisciplinary Digital Publishing Institute
    Publishing place Basel, Switzerland
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021044298
    ISBN 9783039430314 ; 3039430319
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  7. Book ; Online: Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology

    Baleanu, Dumitru

    2012  

    Keywords Signal processing ; Computer vision
    Language English
    Size 1 electronic resource (648 pages)
    Publisher IntechOpen
    Document type Book ; Online
    Note English
    HBZ-ID HT030646857
    ISBN 9789535143109 ; 9535143107
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  8. Book ; Online: Wavelet Transforms and Their Recent Applications in Biology and Geoscience

    Baleanu, Dumitru

    2012  

    Keywords Particle & high-energy physics ; Quantum physics (quantum mechanics & quantum field theory)
    Size 1 electronic resource (312 pages)
    Publisher IntechOpen
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021049050
    ISBN 9789535149705 ; 9535149709
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  9. Book ; Online: Frontiers in Physics - 2019 Editor's Choice

    Hansen, Alex / Beyer, Thomas / Moser, Ewald / Elisa Marcucci, Laura / Metzler, Ralf / Klingenberg, Christian F. / Sauls, James / Valle, José W. F. / De Boer, Jan / Baleanu, Dumitru / Pavesi, Lorenzo / Friedrich, Bretislav / Charles, Christine / Perc, Matjaž / Van Der Gucht, Jasper

    2020  

    Keywords Science: general issues ; Physics ; biophysics ; mathematical physics ; medical physics ; nuclear physics ; physical chemistry ; plasma physics ; social physics ; soft matter physics ; optics ; particle physics
    Size 1 electronic resource (186 pages)
    Publisher Frontiers Media SA
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021230006
    ISBN 9782889637096 ; 2889637093
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  10. Article ; Online: Mathematical modelling, analysis and numerical simulation of social media addiction and depression.

    Ali, Abu Safyan / Javeed, Shumaila / Faiz, Zeshan / Baleanu, Dumitru

    PloS one

    2024  Volume 19, Issue 3, Page(s) e0293807

    Abstract: We formulate a mathematical model of social media addiction and depression (SMAD) in this study. Key aspects, such as social media addiction and depression disease-free equilibrium point (SMADDFEP), social media addiction and depression endemic ... ...

    Abstract We formulate a mathematical model of social media addiction and depression (SMAD) in this study. Key aspects, such as social media addiction and depression disease-free equilibrium point (SMADDFEP), social media addiction and depression endemic equilibrium point (SMADEEP), and basic reproduction number (R0), have been analyzed qualitatively. The results indicate that if R0 < 1, the SMADDFEP is locally asymptotically stable. The global asymptotic stability of the SMADDFEP has been established using the Castillo-Chavez theorem. On the other hand, if R0 > 1, the unique endemic equilibrium point (SMADEEP) is locally asymptotically stable by Lyapunov theorem, and the model exhibits a forward bifurcation at R0 = 1 according to the Center Manifold theorem. To examine the model's sensitivity, we calculated the normalized forward sensitivity index and conducted a Partial Rank Correlation Coefficient (PRCC) analysis to describe the influence of parameters on the SMAD. The numerical results obtained using the Fourth-order Runge-Kutta (RK-4) scheme show that increasing the number of addicted individuals leads to an increase in the number of depressed individuals.
    MeSH term(s) Humans ; Depression ; Internet Addiction Disorder ; Models, Theoretical ; Computer Simulation ; Basic Reproduction Number
    Language English
    Publishing date 2024-03-12
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2267670-3
    ISSN 1932-6203 ; 1932-6203
    ISSN (online) 1932-6203
    ISSN 1932-6203
    DOI 10.1371/journal.pone.0293807
    Database MEDical Literature Analysis and Retrieval System OnLINE

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