FDA Express

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.

Important Deadlines: Preregistration was due by May 10, 2017; For Abstracts: 1 July 2017 (so to be included in conference brochure), Sample file in L ATEX and Instructions are available at the website; for Registration form - 2: 15 July 2017, where we need all details on your arrival/ departure, hotel choice, title of talk, etc.

Post-conference publications: Special issues of two international journals are planned, all submissions (obligatory in LaTeX) will be peerreviewed and should not be published or submitted elsewhere:

- Fractional Calculus and Applied Analysis (FCAA) - small portion of selected best papers, if closely related to FCAA primary topics;

- International Journal of Applied Mathematics (IJAM) - see details at http://www.diogenes.bg/ijam/.

Contacts: By e-mail to: <tmsf@math.bas.bg>.

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Reports

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Report on International Workshop “Fractional Calculus Day @ TUKE” (FBERG TUKE, Kosice, Slovakia, May 12, 2017)

http://people.tuke.sk/igor.podlubny/FC-Day-at-TUKE-2017/

It was organized and hosted by Technical University of Kosice, BERG Faculty. Organizers were:

Tomas Skovranek (Technical University of Kosice, Slovakia) Dominik Sierociuk (Warsaw University of Technology, Poland) Igor Podlubny (Technical University of Kosice, Slovakia) Andrzej Dzielinski (Warsaw University of Technology, Poland)

Scientific Program included the following talks:

• R. Magin: Fractional-order Models of Anomalous Diffusion/Relaxation in Magnetic Resonance Imaging;

• J. Leszczynski: The Use of Fractional Operators for Mathematical Modelling of Granular Mechanics/Flows;

• M. Harker: Survey of Numerical Methods for Fractional Calculus;

• B. Vinagre: Time in Control Theory;

• B. Vinagre: Plenty of Fractional at the Bottom;

• H. HosseinNia: Why Fractional Order Control? From Industries Perspective;

• T. Skovranek, V. Despotovic: Linear Prediction of Speech the Fractional Derivative Formula;

• T. Kisela: Explicit Stability Criteria for Some Fractional Differential Equations;

• B. Datsko: Complex Autowave Solutions Close to Instability Point in Two-Component Time Fractional Reaction-Diffusion Systems;

• M. Macias: Initial Conditions for Output-Additive Variable FractionalOrder Derivative;

• D. Sierociuk, W. Malesza, M. Macias: On the Analog Circuit for Realization of Fractional Variable-type and -order Iterative Operator;

• A. Dzielinski: On Fractional Nonlinear Control - Stabilisation of Furuta Pendulum Case;

• I. Petras, C. Psychalinos: New Analog Implementation Technique of Fractional-Order Controller by Using CMOS Technology;

• Round table Discussion (Chairman: A. Dzielinski)

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Free PDFs: 54 newly published papers on FOSC (fractional order systems and controls)” at IEEE/CAA Journal of Automatica Sinica (JAS)

From: YangQuan Chen yqchen@ieee.org

IEEE/CAA Journal of Automatica Sinica (JAS) is a joint publication of the IEEE and the Chinese Association of Automation. The objective of this journal is high quality and rapid publication of articles, with a strong focus on new trends, original theoretical and experimental research and developments, emerging technologies, and industrial standards in automation.

Special Issues on “Fractional Order Systems and Controls (FOSC)”, guest co-edited by Prof. YangQuan Chen, University of California, Merced, USA; Prof. Dingyü Xue, Northeastern University, China, and Prof. Antonio Visioli, University of Brescia, Italy, have published 54 papers so far from 2015 to 2017.

It is a great pleasure to announce that, all these published FOSC papers were compiled in a single indexable PDF file (31.8Mb) to share in public domain. For individual papers, they are listed with a link to local PDF for your easy reading, and the LaTeX BiBTeX library file) for easy citation.

Visit http://mechatronics.ucmerced.edu/jas-si-fosc for the original call for papers, two editorials, and the single combined PDF file for all published papers, LaTeX BiBTeX file, and a list of all papers with a hyper-link to each paper and its local PDF.

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Books

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Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon

Book Description

The main idea for writing this book is to focus on the recent development of fractional differential equations, integrodifferential equations, and inclusions and inequalities involving Hadamard derivative and integral. In precise terms, we address the issues related to initial and boundary value problems involving Hadamard-type differential equations and inclusions as well as their functional counterparts. Much of the material presented in this book is based on the recent research of the authors on the topic.

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

https://link.springer.com/book/10.1007/978-3-319-52141-1

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Fractional calculus with applications in mechanics :wave propagation, impact and variational principles

Pilipovic, Stevan,Stankovic, Bogoljub,Zorica, Dusan,Atanackovic

Book Description

The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact and variational principles of a Hamiltonian type. The books will be useful for graduate students in mechanics and applied mathematics, as well as for researchers in these fields. Part 1 of this book presents an introduction to fractional calculus. Chapter 1 briefly gives definitions and notions that are needed later in the book and Chapter 2 presents definitions and some of the properties of fractional integrals and derivatives. Part 2 is the central part of the book. Chapter 3 presents the analysis of waves in fractional viscoelastic materials in infinite and finite spatial domains. In Chapter 4, the problem of oscillations of a translatory moving rigid body, attached to a heavy, or light viscoelastic rod of fractional order type, is studied in detail. In Chapter 5, the authors analyze a specific engineering problem of the impact of a viscoelastic rod against a rigid wall. Finally, in Chapter 6, some results for the optimization of a functional containing fractional derivatives of constant and variable order are presented.

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

http://onlinelibrary.wiley.com/book/10.1002/9781118909065

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Journals

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Fractional Calculus & Applied Analysis

(Vol. 20, No 3 )

A SURVEY OF USEFUL INEQUALITIES IN FRACTIONAL CALCULUS

A. Alsaedi, B. Ahmad, M. Kirane

NON-INSTANTANEOUS IMPULSES IN CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

R. Agarwal, S. Hristova, D. O’Regan

ANALYSIS OF TWO- AND THREE-DIMENSIONAL FRACTIONAL-ORDER HINDMARSH-ROSE TYPE NEURONAL MODELS

E. Kaslik

SOLVABILITY OF INITIAL VALUE PROBLEMS WITH FRACTIONAL ORDER DIFFERENTIAL EQUATIONS IN BANACH SPACES BY α-DENSE CURVES

G. García

PERIODIC PROBLEM FOR TWO-TERM FRACTIONAL DIFFERENTIAL EQUATIONS

S. Stanĕk

EXISTENCE OF MILD SOLUTIONS FOR A CLASS OF HILFER FRACTIONAL EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS

M. Yang, Q.R. Wang

IDENTIFICATION PROBLEM FOR DEGENERATE EVOLUTION EQUATIONS OF FRACTIONAL ORDER

V.E. Fedorov, N.D. Ivanova

FRACTIONAL-COMPACT NUMERICAL ALGORITHMS FOR RIESZ SPATIAL FRACTIONAL REACTION-DISPERSION EQUATIONS

Hengfei Ding, Changpin Li

IMPACT OF FRACTIONAL ORDER METHODS ON OPTIMIZED TILT CONTROL FOR RAIL VEHICLES

F. Hassan, A. Zolotas

LIFE AND SCIENCE OF ALEXEY GERASIMOV, ONE OF THE PIONEERS OF FRACTIONAL CALCULUS IN SOVIET UNION

O.G. Novozhenova

REGULAR FRACTIONAL DIFFERENTIAL EQUATIONS IN THE SOBOLEV SPACE

E. Ugurlu, D. Baleanu, K. Tas

MONOTONICITY AND CONVEXITY RESULTS FOR A FUNCTION THROUGH ITS CAPUTO FRACTIONAL DERIVATIVE

M. Al-Refai

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Fractional Differential Calculus

(Volume 7 Issue 1 )

New boundary value problems for higher order impulsive fractional differential equations and their solvability

Yuji Liu, Xiaohui Yang

Green function's new property and its application to the solution for a higher-order fractional boundary value problem

Dexiang Ma

Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions

A.M.A. El-Sayed, F. Gaafar, M. El-Gendy

Solvability for a system of nonlinear fractional higher-order three-point boundary value problem

Sabbavarapu Nageswara Rao

Analytic solution of generalized space time fractional reaction diffusion equation

Ritu Agarwal, Sonal Jain, R. P. Agarwal

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Paper Highlight
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A fractional model for time-variant non-newtonian flow

Xu Yang, Wen Chen, Rui Xiao, Leevan Ling

Publication information: THERMAL SCIENCE Volume: 21 Issue: 1 Pages: 61-68 Part: A Published: 2017

http://thermalscience.vinca.rs/2017/1/7

　

Abstract

This work applies a fractional flow model to describe a time-variant behavior of non-Newtonian substances. Specifically, we model the physical mechanism underlying the thixotropic and anti-thixotropic phenomena of non-Newtonian flow This study investigates the behaviors of cellulose suspensions and starch-milk-sugar pastes under constant shear rate. The results imply that the presented model with only two parameters is adequate to fit experimental data. Moreover, the parameter of fractional order is an appropriate index to characterize the state of given substances. Its value indicates the extent of thixotropy and anti-thixotropy with positive and negative order, respectively.

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Lyapunov functions for fractional order systems

Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A.

Publication information: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 9 Pages: 2951-2957 Published: SEP 2014

http://www.sciencedirect.com/science/article/pii/S1007570414000471

　

Abstract

A new lemma for the Caputo fractional derivatives, when 0 < alpha < 1, is proposed in this paper. This result has proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the stability of many fractional order systems, which can be nonlinear and time varying.

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