Fractional Wave-diffusion Equation With Periodic Conditions

We study a time-space fractional wave-diffusion equation with periodic conditions using Laplace transforms and Fourier series and presenting its solution in terms of three-parameter Mittag-Leffler functions. As a particular case we recover a recent result. We also present some graphics associated with particular values of the parameters. © 2012 American Institute of Physics.5312Caputo, M., Carcione, J.M., Hysteresis cycles and fatigue criteria using anelastic models based on fractional derivatives (2011) Rheol. Acta, 50 (2), pp. 107-115. , 10.1007/s00397-010-0524-zMainardi, F., Spada, G., Creep, relaxation and viscosity properties for basic fractional models in rheology (2011) Eur. Phys. J. Spec. Top., 193, pp. 133-160. , 10.1140/epjst/e2011-01387-1, e-print arXiv:cond-mat.mtrl.sci1110.3400v1Mainardi, F., Mura, A., Pagnini, G., The M-Wright function in time-fractional diffusion processes: A tutorial survey (2010) Int. J. Differ. Equations, 2010, p. 104505. , 10.1155/2010/104505, e-print arXiv:org/abs/1004.2950(2011) Fractional Dynamics, Recent Advances, , J. Klafter, S. C. Lim, R. Metzler, edited by and (World Scientific, Singapore, )Costa, F.S., Fractional thermal systems (2011) International Conference on Multimedia Technology (ICMT), , E. Capelas de Oliveira, Hangzhou, China, 26-28 JulyOliveira, E., Costa, F.S., Vaz, J., The fractional Schrödinger equation for delta potentials (2010) J. Math. Phys., 51, p. 123517. , 10.1063/1.3525976Oliveira, E., Vaz, J., Tunneling in fractional quantum mechanics (2011) J. Phys. A: Math. Theor., 44, p. 185303. , 10.1088/1751-8113/44/18/185303Machado, J.T., Kiryakova, V., Mainardi, F., Recent history of fractional calculus (2011) Nonlinear Sci. Number. Simul., 16, pp. 1140-1153. , 10.1016/j.cnsns.2010.05.027Podlubny, I., (1999) Fractional Differential Equations, , (Academic, San Diego, )Kilbas, A.A., Srivastava, H.M., Trujillo, J.J., (2006) Theory and Applications of Fractional Differential Equations, 204. , J. Van Mill, and Mathematics Studies, edited by (Elsevier, Amsterdam, )Zhang, H., Liu, F., The fundamental solutions of the space, space-time Riesz fractional partial differential equations with periodic conditions (2007) Numer. Math. J. Chin. Univ., 16, pp. 181-192Prabhakar, T.R., A singular integral equation with generalized Mittag-Leffler function in the kernel (1971) Yokohama Math. J., 19, pp. 7-25Samko, S.G., Kilbas, A.A., Marichev, O.I., (1993) Fractional Integrals and Derivatives: Theory and Applications, , (Gordon and Breach, New York, )Mainardi, F., Luchko, Y., Pagnini, G., The fundamental solution of the space-time fractional diffusion equation (2001) Fract. Calc. & Appl. Anal., 4 (2), pp. 153-192. , e-print arXiv:cond-mat.stat.mech/0702419v1Camargo, R., Charnet, R., de Oliveira, E., On the fractional Green function (2009) J. Math. Phys., 50, p. 043514. , 10.1063/1.311948

Suministro De La Demanda De Energía En El Procesamiento De Carne De Pollo Con Biogás

The main use of electrical energy in the chicken meat processing unit is refrigeration. About 70% of the electricity is consumed in the compressors for the refrigeration system. Through this study, the energetic viability of using biogas from poultry litter in supplying the demand for the refrigeration process was found. The meat processing unit studied has the potential to process about a hundred and sixty thousand chickens a day. The potential biogas production from poultry litter is 60,754,298.91 m3.year-1. There will be a surplus of approximately 8,103 MWh per month of electric energy generated from biogas. An economic analysis was performed considering a planning horizon of 20 years and the discount rate of 12% per year. The economic analysis was performed considering scenario 1: sale of all electricity generated by the thermoelectric facility, and scenario 2: sale of the surplus electricity generated after complying with the demands of the refrigeration process and all other electrical energy and thermal energy use. Economic indicators obtained for scenarios 1 and 2 were favorable for the project implementation. © 2016, Revista Ingenieria e Investigacion - Editorial Board. All Rights reserved.36111812

The Fractional Schrödinger Equation For Delta Potentials

The fractional Schrödinger equation is solved for the delta potential and the double delta potential for all energies. The solutions are given in terms of Fox's H-function. © 2010 American Institute of Physics.5112Rangarajan, G., Ding, M., (2000) Phys. Lett. A, 273, p. 322. , 10.1016/S0375-9601(00)00518-1Mainardi, F., (1996) Appl. Math. Lett., 9, p. 23. , 10.1016/0893-9659(96)00089-4Duan, J.S., (2005) J. Math. Phys., 46, p. 013504. , 10.1063/1.1819524Figueiredo Camargo, R., Capelas de Oliveira, E., Vaz, J., (2009) J. Math. Phys., 50, p. 123518. , 10.1063/1.3269587Laskin, N., (2000) Phys. Lett. A, 268, p. 298. , 10.1016/S0375-9601(00)00201-2Laskin, N., (2000) Phys. Rev. E, 62, p. 3135. , 10.1103/PhysRevE.62.3135(1995) Lévy Flights and Related Topics in Physics, 450. , M.F.Shlesinger, G.M.Zaslavsky, U.Frisch, edited by and, Lecture Notes in Physics, (Springer, New York)Guo, X., Xu, M., (2006) J. Math. Phys., 47, p. 082104. , 10.1063/1.2235026Laskin, N., (2000) Chaos, 10, p. 780. , 10.1063/1.1050284Naber, M., (2004) J. Math. Phys., 45, p. 3339. , 10.1063/1.1769611Jeng, M., Xu, S.-L.-Y., Hawkins, E., Schwarz, J.M., (2010) J. Math. Phys., 51, p. 062102. , 10.1063/1.3430552Dong, J., Xu, M., (2007) J. Math. Phys., 48, p. 072105. , 10.1063/1.2749172Butzer, P.L., Westphal, U., (2000) Applications of Fractional Calculus in Physics, pp. 1-85. , R.Hilfer, and, "An introduction to fractional calculus," in, edited by (World Scientific, Singapore)Riesz, M., (1948) Acta Math., 81, p. 1. , 10.1007/BF02395016Gradshteyn, I.S., Ryzhik, I.M., (2007) Table of Integrals, Series, and Products, , 7th ed. (Academic Press, NY)Gasiorowicz, S., (2003) Quantum Physics, , 3rd ed. (Wiley, NY)Scott, T.C., Babb, J.F., Dalmano, A., Morgan, J.D., (1993) J. Chem. Phys., 99, p. 2841. , 10.1063/1.465193Mathai, A.M., Saxena, R.K., Haubold, H.J., (2009) The H-Function, , (Springer, NY)Braaksma, B.L.J., (1962) Compos. Math., 15, p. 239. , 2013, 1964Kilbas, A.A., Srivastava, H.M., Trujillo, J.J., (2006) Theory and Applications of Fractional Differential Equations, , (Elsevier, Amsterdam)Oberhettinger, F., (1974) Tables of Mellin Transforms, , (Springer-Verlag, Berlin)Churchill, R.V., (1960) Complex Variables and Applications, , (McGraw-Hill, NY)Podlubny, I., (1998) Fractional Differential Equations, , (Academic Press, San Diego

Warning signals of biodiversity collapse across gradients of tropical forest loss

We evaluate potential warning signals that may aid in identifying the proximity of ecological communities to biodiversity thresholds from habitat loss—often termed “tipping points”—in tropical forests. We used datasets from studies of Neotropical mammal, frog, bird, and insect communities. Our findings provide only limited evidence that an increase in the variance (heteroskedasticity) of biodiversity-related parameters can provide a general warning signal of impending threshold changes in communities, as forest loss increases. However, such an apparent effect was evident for amphibians in the Brazilian Atlantic Forest and Amazonian mammal and bird communities, suggesting that impending changes in some species assemblages might be predictable. We consider the potential of such warning signs to help forecast drastic changes in biodiversity

Exposure to Leishmania braziliensis triggers neutrophil activation and apoptosis.

BACKGROUND: Neutrophils are the first line of defense against invading pathogens and are rapidly recruited to the sites of Leishmania inoculation. During Leishmania braziliensis infection, depletion of inflammatory cells significantly increases the parasite load whereas co-inoculation of neutrophils plus L. braziliensis had an opposite effect. Moreover, the co-culture of infected macrophages and neutrophils also induced parasite killing leading us to ask how neutrophils alone respond to an L. braziliensis exposure. Herein we focused on understanding the interaction between neutrophils and L. braziliensis, exploring cell activation and apoptotic fate. METHODS AND FINDINGS: Inoculation of serum-opsonized L. braziliensis promastigotes in mice induced neutrophil accumulation in vivo, peaking at 24 h. In vitro, exposure of thyoglycollate-elicited inflammatory or bone marrow neutrophils to L. braziliensis modulated the expression of surface molecules such as CD18 and CD62L, and induced the oxidative burst. Using mCherry-expressing L. braziliensis, we determined that such effects were mainly observed in infected and not in bystander cells. Neutrophil activation following contact with L. braziliensis was also confirmed by the release of TNF-α and neutrophil elastase. Lastly, neutrophils infected with L. braziliensis but not with L. major displayed markers of early apoptosis. CONCLUSIONS: We show that L. braziliensis induces neutrophil recruitment in vivo and that neutrophils exposed to the parasite in vitro respond through activation and release of inflammatory mediators. This outcome may impact on parasite elimination, particularly at the early stages of infection

Economic analysis of an agrosilvipastoral system for a mountainous area in Zona da Mata Mineira, Brazil

The objective of this work was to evaluate the economic viability of an agrosilvipastoral system developed for Zona da Mata mountainous areas in Minas Gerais state, Brazil, as well as to compare different options for wood (Eucalyptus grandis and Acacia mangium) commercialization of the second thinning. The data were obtained from a 10 year-old agrosilvipastoral system established in four hectares at Embrapa Gado de Leite station in Coronel Pacheco, MG, Brazil. As evaluation criteria for the economic viability analysis, the adopted methods were the net present value (NPV) and the internal rate of return (IRR), both calculated at 6% interest rate. Despite the small difference, adding value to forest products increased the attractiveness of the proposed system. Considered separately, the agricultural activity was impracticable, whereas the forestry and livestock activities were independently viable. The studied system seems to be equally tolerant to price variations for forest and livestock products, as well as strongly tolerant to variations in production costs

Bianchi type I space and the stability of inflationary Friedmann-Robertson-Walker space

Stability analysis of the Bianchi type I universe in pure gravity theory is studied in details. We first derive the non-redundant field equation of the system by introducing the generalized Bianchi type I metric. This non-redundant equation reduces to the Friedmann equation in the isotropic limit. It is shown further that any unstable mode of the isotropic perturbation with respect to a de Sitter background is also unstable with respect to anisotropic perturbations. Implications to the choice of physical theories are discussed in details in this paper.Comment: 5 pages, some comment adde