FDA Express

Organized and hosted by the Institute of Mathematics and Informatics
– Bulgarian Academy of Sciences (IMI–BAS),
http://math.bas.bg/index.php/en/(founding publisher of FCAA),
with the kind cooperation of the University of Ruse “Angel Kanchev”,
https://www.uni-ruse.bg/en

Description

The aim of this conference is to continue the traditions of the series of TMSF conferences in Bulgaria, http://www.math.bas.bg/∼tmsf/, and to mark some jubilee events, among which are: the 70 years of IMI– BAS, and the 20th volume of “Fractional Calculus and Applied Analysis” journal.

The Conference is organized under the auspices of the bilateral academic agreements between Bulgarian Academy of Sciences and Academies of neighboring Balkan countries (Serbia, Macedonia, Romania); and some projects with National Science Fund of Bulgaria, Institutions and Universities, related to the TMSF 2017 topics.

Organizing Committee: Emilia Bazhlekova and Jordanka PanevaKonovska (Co-Chairs), Julian Tsankov, Donka Pashkouleva, Georgi Dimkov, Nikolay Ikonomov, Ivan Bazhlekov (Local Members), Miglena Koleva (Ruse University), Djurdjica Takaci (Serbia), Biljana Jolevska-Tuneska (Macedonia), Nicoleta Breaz (Romania)

Scientific Program Committee: Virginia Kiryakova, Stepan Tersian (Co-Chairs), Blagovest Sendov, Ivan Dimovski, Nedyu Popivanov, Tsvyatko Rangelov (Bulgaria), Teodor Atanackovic, Stevan Pilipovic, Arpad Takaci, Predrag Rajkovic (Serbia), Nikola Tuneski (Macedonia), Daniel Breaz (Romania), Yuri Luchko (Germany, FCAA)

TMSF Scientific Program:

- “Fractional Calculus and Applied Analysis” Day (FCAA)

- “Geometric Function Theory and Applications” Day (GFTA)

- “Transform Methods and Special Functions” Day (TMSF),

with TMSF basic topics as: Special Functions, Integral Transforms, Convolutional Calculus, Fractional and High Order Differential Equations, Numerical Methods, Generalized Functions, Complex Analysis, etc.

Schedule: Arrivals: 27 August (Sunday); Working days: 28-29-30 August 2017 (Monday-Wednesday); Departures: 31 August.

Venue of the conference: Institute of Mathematics and Informatics - Bulgarian Academy of Sciences, Sofia.

Accommodation: Hotels in walking distance in the area of Institute, with basic prices 30-35 EUR/ night/ single room/ 3-stars hotel. Details and offers will be given in Second announcement.

Registration fees: 100 EUR (195 BGN), by bank transfer (details will be provided) or cash at the desk - to cover: conference materials, publication of short paper, coffee breaks, welcome cocktail, conference party, sightseeing tour. Accompanying persons: 45 EUR.

Publications: Along with abstracts of the accepted talks, and some invited survey papers, the participants will have the opportunity to submit short papers (6-12 pages) to special issues of two refereed and indexed international mathematical journals. All papers will be peer-reviewed.

Timetable: Please, confirm your interest in receiving next information and possible participation by May 10 with e-mail to: , and returning the Preliminary Registration Form.

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Minisymposium on Fractional Calculus and Applications

------ at AMMCS 2017,

http://www.ammcs2017.wlu.ca/

http://www.ammcs2017.wlu.ca/special-sessions/fca/

http://www.ammcs2017.wlu.ca/special-sessions/

Main Topics: In recent years, the use of Fractional Calculus and related pseudodifferential operators in different fields of science and engineering has gained more and more momentum. Applications of Fractional Calculus can be found in Physics, Biology and Bioengineering, Geophysics, Electric and Electronic Engineering to mention a few fields. The purpose of this special session is to present examples of these applications as well as related theoretical developments from the points of view of analysis, probability theory and numerical analysis.

Important Dates: Some deadlines: – Deadline for submissions of abstracts (for participants requiring a visa): April 1, 2017; – Deadline for submissions of abstracts: May 1, 2017; – Decision on abstracts: May 15, 2017; – Early Bird Registration: June 1, 2017; – Deadline for author registration: July 1, 2017; – Publication of full program: July 15, 2017

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Books

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From Bessel to Multi-Index MittagLeffler Functions

Jordanka Paneva-Konovska

Book Description

The topics of this book include studies on enumerable families of different classes of special functions like these, listed above. Various their properties are provided, such as estimations, asymptotic formulae, existence of generating functions, completeness, fractional differentiation and integration operators.

More information on this book can be found by the following links:

http://www.worldscientific.com/worldscibooks/10.1142/q0026

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Fractal Elements and their Applications

Anis Kh. Gilmutdinov, Pyotr Arkh. Ushakov, Reyad El Khazali,

Book Description

This book describes a new type of passive electronic components, called fractal elements, from a theoretical and practical point of view. The authors discuss in detail the physical implementation and design of fractal devices for application in fractional-order signal processing and systems. The concepts of fractals and fractal signals are explained, as well as the fundamentals of fractional calculus. Several implementations of fractional impedances are discussed, along with comparison of their performance characteristics. Details of design, schematics, fundamental techniques and implementation of RC-based fractal elements are provided.

More information on this book can be found by the following links:

http://www.springer.com/us/book/9783319452487

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Journals

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Fractional Calculus & Applied Analysis

(No 2 of Vol. 20)

THE CHRONICLES OF FRACTIONAL CALCULUS

J.A. Tenreiro Machado, V. Kiryakova

A NUMERICAL STUDY OF THE HOMOGENEOUS ELLIPTIC EQUATION WITH FRACTIONAL BOUNDARY CONDITIONS

R. Lazarov, P. Vabishchevich

A NOVEL UNSTRUCTURED MESH FINITE ELEMENT METHOD FOR SOLVING THE TIME-SPACE FRACTIONAL WAVE EQUATION ON A TWO-DIMENSIONAL IRREGULAR CONVEX DOMAIN

W. Fan, F. Liu, X. Jiang, I. Turner

ULAM STABILITY FOR HILFER TYPE FRACTIONAL DIFFERENTIAL INCLUSIONS VIA THE WEAKLY PICARD OPERATORS THEORY

S. Abbas, M. Benchohra, A. Petru¸sel

DETERMINATION OF TWO UNKNOWN THERMAL COEFFICIENTS THROUGH AN INVERSE ONE-PHASE FRACTIONAL STEFAN PROBLEM

A.N. Ceretani, D.A. Tarzia

FRACTIONAL INTEGRAL OPERATORS CHARACTERIZED BY SOME NEW HYPERGEOMETRIC SUMMATION FORMULAS

M.-J. Luo, R.K. Raina

A HIGH-ORDER PREDICTOR-CORRECTOR METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

T.B. Nguyen, B. Jang

INVARIANT SUBSPACE METHOD: A TOOL FOR SOLVING FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

S. Choudhary, V. Daftardar-Gejji

CAUCHY FORMULA FOR THE TIME-VARYING LINEAR SYSTEMS WITH CAPUTO DERIVATIVE

T. Kaczorek, D. Idczak

OVERCONVERGENCE OF SERIES IN GENERALIZED MITTAG-LEFFLER FUNCTIONS

J. Paneva-Konovska

ON A NEW CLASS OF CONSTITUTIVE EQUATIONS FOR LINEAR VISCOELASTIC BODY

D. Dolicanin-Dekic

OBSERVABILITY FOR FRACTIONAL DIFFUSION EQUATIONS BY INTERIOR CONTROL

R. Xue

NULL CONTROLLABILITY OF FRACTIONAL DYNAMICAL SYSTEMS WITH CONSTRAINED CONTROL

R. Joice Nirmala, K. Balachandran, J.J. Trujillo

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Physica A: Statistical Mechanics and its Applications

(selected)

Group analysis of the time fractional generalized diffusion equation

Elham Lashkarian, S. Reza Hejazi

New approach for exact solutions of time fractional Cahn–Allen equation and time fractional Phi-4 equation

Hira Tariq, Ghazala Akram

Asymptotic Green’s functions for time-fractional diffusion equation and their application for anomalous diffusion problem

Alexey A. Zhokh, Andrey I. Trypolskyi, Peter E. Strizhak

Fractional derivative models for atmospheric dispersion of pollutants

A.G.O. Goulart, M.J. Lazo, J.M.S. Suarez, D.M. Moreira

Time fractional capital-induced labor migration model

Mehmet Ali Balcı

Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system

Chengdai Huang, Jinde Cao

Projective synchronization of fractional-order memristive neural networks with switching jumps mismatch

Lingzhong Zhang, Yongqing Yang, Fei Wang

Space–time fractional diffusion equation using a derivative with nonsingular and regular kernel

J.F. Gómez-Aguilar

Fractional derivatives in the transport of drugs across biological materials and human skin

Michele Caputo, Cesare Cametti

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Paper Highlight
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Using spectral and cumulative spectral entropy to classify anomalous diffusion in Sephadex (TM) gels

Yingjie Liang, Wen Chen, Belinda S. Akpa, Thomas Neuberger, Andrew G. Webb, Richard L. Magin,

Publication information: COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 73 Issue: 5 Pages: 765-774 Published: MAR 1 2017

http://www.sciencedirect.com/science/article/pii/S0898122117300056

Abstract

Sephadex™ gel beads are commonly used to separate mixtures of similar molecules based on trapping and size exclusion from internal submicron diameter cavities. Water, as it freely moves through the porous gel and enclosed chambers of Sephadex™ beads, exhibits both normal (Gaussian) and anomalous (non-Gaussian) water diffusion. The apparent diffusion coefficient (ADC) of water in Sephadex™ gels can be measured using magnetic resonance imaging (MRI) by applying diffusion-weighted pulse sequences. This study investigates the relationship between the ADC of water and the complexity (i.e., size and number of cavities) of a series of Sephadex™ beads. We first classified the stochastic movement of water by using the solution to the space and time fractional diffusion equation to extract the ADC and the fractional time and space parameters (α, β), which are essentially the order of the respective fractional derivatives in Fick’s second law. From the perspective of the continuous time random walk (CTRW) model of anomalous diffusion, these parameters reflect waiting times (trapping) and jump increments (nano-flow) of the water in the gels. The observed MRI diffusion signal decay represents the Fourier transform of the diffusion propagator (i.e., the characteristic function of the stochastic process). In two series of Sephadex™ gel beads, we observed a strong inverse correlation between bead porosity (which is also responsible for molecular size exclusion) and the fractional order parameters; as the gels become more heterogeneous, the ADC decreases, both α and β are reduced and the diffusion exhibits anomalous (sub-diffusion) behavior. In addition, as a new measure for the structural complexity in Sephadex™ gel beads, we propose using the spectral and the cumulative spectral entropy that are derived from the observed characteristic function. We find that both measures of entropy increase with the porosity and tortuosity of the gel in a manner consistent with fractional order diffusional dynamics.

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FRACTIONAL INTEGRALS AND DERIVATIVES: MAPPING PROPERTIES

Rafeiro，H, Samko，Stefan

Publication information: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 19 Issue: 3 Pages: 580-607 Published: JUN 2016

http://www.degruyter.com/view/j/fca.2016.19.issue-3/fca-2016-0032/fca-2016-0032.xml?format=INT

Abstract

This survey is aimed at the audience of readers interested in the information on mapping properties of various forms of fractional integration operators, including multidimensional ones, in a large scale of various known function spaces.

As is well known, the fractional integrals defined in this or other forms improve in some sense the properties of the functions, at least locally, while fractional derivatives to the contrary worsen them. With the development of functional analysis this simple fact led to a number of important results on the mapping properties of fractional integrals in various function spaces. In the one-dimensional case we consider both Riemann-Liouville and Liouville forms of fractional integrals and derivatives.

In the multidimensional case we consider in particular mixed Liouville fractional integrals, Riesz fractional integrals of elliptic and hyperbolic type and hypersingular integrals. Among the function spaces considered in this survey, the reader can find Hölder spaces, Lebesgue spaces, Morrey spaces, Grand spaces and also weighted and/or variable exponent versions.

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The End of This Issue

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