Fractional integral

Part 1 of ebook "Stochastic processes and calculus: An elementary introduction with applications" provides readers with contents including: Chapter 1 - Introduction; Chapter 2 - Basic concepts from probability theory; Chapter 3 - Autoregressive moving average processes (ARMA); Chapter 4 - Spectra of stationary processes; Chapter 5 - Long memory and fractional integration; Chapter 6 - Processes with autoregressive conditional heteroskedasticity (ARCH);...

163p daonhiennhien 03-07-2024 1 1   Download

his paper investigates the nonlinear vibration of imperfect smart sandwich plate which consists of an auxetic graphene reinforced metal matrix composite (GRRMC) core layer integrated with two magneto-electro-elastic face sheets. The Poisson’s ratio of the GRMMC core is negative while the material properties of magneto-electro-elastic face sheets depend on the volume fraction of piezoelectric and piezomagnetic phases.

10p dathienlang1012 03-05-2024 1 0   Download

Only a small fraction of patients respond to the drug prescribed to treat their disease, which means that most are at risk of unnecessary exposure to side effects through ineffective drugs. This inter-individual variation in drug response is driven by differences in gene interactions caused by each patient’s genetic background, environmental exposures, and the proportions of specific cell types involved in disease.

15p vibransone 28-03-2024 4 2   Download

Although immune checkpoint inhibitor (ICI) is regarded as a breakthrough in cancer therapy, only a limited fraction of patients benefit from it. Cancer stemness can be the potential culprit in ICI resistance, but direct clinical evidence is lacking.

18p viellison 28-03-2024 5 1   Download

Part 2 book "Analysis in integer and fractional dimensions" includes content: Product Fr´echet measures, brownian motion and the wiener process, integrators, A ‘3/2-dimensional’ cartesian product, fractional cartesian products and combinatorial dimension, the last chapter - leads and loose ends.

309p muasambanhan06 03-02-2024 1 1   Download

Ebook "Design of CMOS analog integrated fractional-order circuits: Applications in medicine and biology" describes the design and realization of analog fractional-order circuits, which are suitable for on-chip implementation, capable of low-voltage operation and electronic adjustment of their characteristics. The authors provide a brief introduction to fractional-order calculus, followed by design issues for fractional-order circuits of various orders and types.

118p lucchinguyen 28-12-2023 6 2   Download

Ebook "Advanced problems in mathematics: Preparing for University" has two aims: the general aim is to help bridge the gap between school and university mathematics; The more specific aim is to help you to prepare for STEP or other examinations required for university entrance in mathematics. To find out more about STEP, read the next section.

186p tieulangtran 28-09-2023 6 1   Download

Continued part 1, part 2 of ebook "Higher engineering mathematics (Sixth edition)" has presents the following content: total differential, rates of change and small changes; maxima, minima and saddle points for functions of two variables; standard integration; some applications of integration; integration using algebraic substitutions; integration using trigonometric and hyperbolic substitutions; integration using partial fractions;...

336p dieptieuung 20-07-2023 9 4   Download

Ebook 3000 solved problems in calculus: Part 2 includes contents: Chapter 22 volume; chapter 23 the natural logarithm; chapter 24 exponential functions; chapter 25 L'Hopital's rule; chapter 26 exponential growth and decay; chapter 27 inverse trigonometric functions; chapter 28 integration by parts; chapter 29 trigonometric integrands and substitutions; chapter 30 integration of rational functions: the method of partial fractions; chapter 31 integrals for surface area, work, centroids; chapter 32 improper integrals;… Please refer to the documentation for more details.

286p haojiubujain01 06-06-2023 3 2   Download

Ebook Basic Mathematics-II: Part 1 presents the following content: Integration by Partial Fraction; Integration by Parts; Definite Integral; Definite Integrals by Substitution; Properties of Definite Integral;...Please refer to the documentation for more details.

107p chankora 16-06-2023 3 1   Download

Spices had a worldwide market value greater than $20 billion in 2020. The price per kilogram or ton is high for many spices often due to intensive labor and handling requirements in their preparation, with black pepper as one example. Spices are produced in many countries, in plots ranging from fractions of a hectare to multihectare mechanized operations.

9p viginny 23-12-2022 7 3   Download

This paper is devoted to study a fractional equation involving Caputo-Katugampola derivative with nonlocal initial condition. Unlike previous papers, in this paper, the source function of problem is assumed having a singularity.

9p vispyker 14-11-2022 7 2   Download

This control structure is inflexible since using fixed gains. For overcoming this weakness, we integrate variable fractional-order derivative into SMC that leads to an adaptive system with adjustable parameters. We use Mittag–Leffler stability, an enhanced version of Lyapunov theory, to analyze the convergence of closed-loop system. Applying the controller to a practical crane shows the efficiency of proposed control approach. The controller works well and keeps the output responses consistent despite the large variation of crane parameters.

8p spiritedaway36 28-11-2021 12 2   Download

A study was conducted in an ongoing field experiment started during Rabi 1988-89 in calcareous soil at Research Farm of Dr. Rajendra Prasad Central Agricultural University, Pusa, Bihar. The experimental design was split-plot with four fertilizer levels (0, 50, 100 & 150% NPK) in main plots and four levels of manures (no manures, compost @10 t ha-1 , crop residues and compost @10 t ha-1 plus crop residues) in sub-plots.

7p caygaocaolon11 21-04-2021 14 1   Download

The field experiment was conducted the year 2014-2015 on the old long-term fertilizer experiment started since 1983 to assess characterization of humus in soil and it’s relation with physical and physic-chemical properties of soil under the long – term effect of integrated nutrient management in sorghum wheat cropping system. The study showed that there was fraction of humus tended to decrease with depth and use of organics like subabul and FYM in conjunction with NPK fertilizers exerted a remarkable impact on the distribution and built up of humus fractions in soil.

8p chauchaungayxua10 18-03-2021 16 2   Download

Dosimetric quantities at various distances from a 30 cm diameter polyethylene sphere moderated 241Am-Be source were investigated using the Bonner sphere spectrometer system. The different international commercial unfolding codes were applied to unfold the neutron spectrum, and their shapes were compared to each other. Additionally, the integrated neutron fluence rates overall spectrum and fractional neutron fluence rates were deduced and compared between the results obtained from different unfolding codes.

6p gaocaolon10 03-03-2021 48 5   Download

ChIPx (i.e., ChIP-seq and ChIP-chip) is increasingly used to map genome-wide transcription factor (TF) binding sites. A single ChIPx experiment can identify thousands of TF bound genes, but typically only a fraction of these genes are functional targets that respond transcriptionally to perturbations of TF expression.

16p viwyoming2711 16-12-2020 8 1   Download

In this paper, we present a result on Hyers-Ulam stability for a class of nonlocal differential equations in Hilbert spaces by using the theory of integral equations with completely positive kernels together with a new Gronwall inequality type. The paper develops some recent results on fractional differential equations to the ones involving general nonlocal derivatives. Instead of Mittag-Leffler functions, we must utilize the characterization of relaxation function.

7p tamynhan5 10-12-2020 11 2   Download

The field experiment was conducted at College of Agriculture, Shivamogga during kharif 2015-2016. The total quantity of P and plant-available P often differ greatly fraction in acidic soils. Assessing available P is fundamental aspect to managing P in many of these soils. The objectives of this study were to effect of phosphorus levels through integrated nutrient management (INM) packages on status of phosphorus in soil under groundnut crop.

7p caygaocaolon8 07-11-2020 11 1   Download

Next-generation sequencing of matched tumor and normal biopsy pairs has become a technology of paramount importance for precision cancer treatment. Sequencing costs have dropped tremendously, allowing the sequencing of the whole exome of tumors for just a fraction of the total treatment costs.

15p vioklahoma2711 19-11-2020 10 0   Download