FDA Express

FDA Express    Vol. 26, No. 3, Mar. 15, 2018

 

All issues: http://em.hhu.edu.cn/fda/

Editors: http://em.hhu.edu.cn/fda/Editors.htm

Institute of Soft Matter Mechanics, Hohai University
For contribution: heixindong@hhu.edu.cn, fdaexpress@hhu.edu.com

For subscription: http://em.hhu.edu.cn/fda/subscription.htm

PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol26_No3_2018.pdf


 

◆  Latest SCI Journal Papers on FDA

(Searched on Mar. 15, 2018)

 

  Call for Papers

Third International Conference on Advances in Signal, Image and Video Processing: “SIGNAL 2018”, May 20-24, 2018, Nice, France

 

◆  Books

Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models

Functional Numerical Methods: Applications to Abstract Fractional Calculus

 

◆  Journals

Fractional Calculus & Applied Analysis

Expert Systems with Applications

 

  Paper Highlight

The role of fractional calculus in modeling biological phenomena: A review

Method of approximate particular solutions for constant- and variable-order fractional diffusion models

 

  Websites of Interest

Fractal derivative and operators and their applications

Fractional Calculus & Applied Analysis

 

 

 

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 Latest SCI Journal Papers on FDA

------------------------------------------

(Searched on Feb 15, 2018)


 

An extension of the Gegenbauer pseudospectral method for the time fractional Fokker-Planck equation

By: Izadkhah, Mohammad Mahdi; Saberi-Nadjafi, Jafar; Toutounian, Faezeh

MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 4 Pages: 1301-1315 Published: MAR 15 2018


Approximate solution of space and time fractional higher order phase field equation

By: Shamseldeen, S.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS Volume: 494 Pages: 308-316 Published: MAR 15 2018


Spectral Methods for Substantial Fractional Differential Equations

By: Huang, Can; Zhang, Zhimin; Song, Qingshuo

JOURNAL OF SCIENTIFIC COMPUTING Volume: 74 Issue: 3 Pages: 1554-1574 Published: MAR 2018


Complex variable approach to the analysis of a fractional differential equation in the real line

By: San, Mufit

COMPTES RENDUS MATHEMATIQUE Volume: 356 Issue: 3 Pages: 293-300 Published: MAR 2018

 
Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation

By: Ma, Yong-Ki; Prakash, P.; Deiveegan, A.

CHAOS SOLITONS & FRACTALS Volume: 108 Pages: 39-48 Published: MAR 2018


Kalman filters for linear continuous-time fractional-order systems involving coloured noises using fractional-order average derivative

By: Yang, Chao; Gao, Zhe; Liu, Fanghui

IET CONTROL THEORY AND APPLICATIONS Volume: 12 Issue: 4 Pages: 456-465 Published: MAR 6 2018


Robust stability analysis of uncertain multiorder fractional systems: Young and Jensen inequalities approach

By: Taghavian, Hamed; Tavazoei, Mohammad Saleh

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL Volume: 28 Issue: 4 Pages: 1127-1144 Published: MAR 10 2018


Numerical solution of nonlinear stochastic Ito-Volterra integral equations driven by fractional Brownian motion

By: Mirzaee, Farshid; Samadyar, Nasrin

MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 4 Pages: 1410-1423 Published: MAR 15 2018


A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order

By: Yang, Dan; Wang, JinRong; O'Regan, D.

APPLIED MATHEMATICS AND COMPUTATION Volume: 321 Pages: 654-671 Published: MAR 15 2018


An extension of the Gegenbauer pseudospectral method for the time fractional Fokker-Planck equation

By: Izadkhah, Mohammad Mahdi; Saberi-Nadjafi, Jafar; Toutounian, Faezeh

MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 4 Pages: 1301-1315 Published: MAR 15 2018

 

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Call for Papers

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Third International Conference on Advances in Signal, Image and Video Processing: “SIGNAL 2018”, May 20-24, 2018, Nice, France

https://www.iaria.org/conferences2018/SIGNAL18.html

A Special Session on Fractional Calculus and Applications, see details at:

https://www.iaria.org/conferences2018/filesSIGNAL18/FCA.pdf

 

Description

Prospective authors are invited to submit original papers and contacts the organizers of this session.

 

Important Deadlines (somewhat flexible):

– Inform the Chairs: As soon as you decided to contribute;

– Submission: Feb 7, 2018;

– Notification: March 7, 2018;

– Registration: March 21, 2018;
– Camera ready: April 2, 2018.

Organizers:
Prof. Jocelyn Sabatier, jocelyn.sabatier@u-bordeaux.fr and Prof. Manuel Ortigueira, mdo@fct.unl.pt

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Books

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Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models

Authors: Vishwesh Vyawahare, Paluri S. V. Nataraj

Book Description

This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems.

 

Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.

 

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

https://link.springer.com/book/10.1007/978-981-10-7587-2#about

 

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Functional Numerical Methods: Applications to Abstract Fractional Calculus

George A. Anastassiou, Ioannis K. Argyros

Book Description

This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain – studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to grow in popularity, and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas – including decision-making, complex processes, systems modeling and control – and deeply embedded in the fields of engineering, computer science, physics, economics, and the social and life sciences. The book offers a valuable resource for researchers and graduate students, and can also be used as a textbook for seminars on the above-mentioned subjects. All chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references.

 

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

https://link.springer.com/book/10.1007/978-3-319-69526-6#about

 

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 Journals

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Fractional Calculus & Applied Analysis

 (Vol. 20, No. 6 (2017))

 

NO LOCAL L1 SOLUTIONS FOR SEMILINEAR FRACTIONAL HEAT EQUATIONS

K. Li

LOCAL AND GLOBAL EXISTENCE OF MILD SOLUTIONS FOR A CLASS OF SEMILINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Bo Zhu, Lishan Liu, Yonghong Wu

WELLPOSEDNESS OF NEUMANN BOUNDARY-VALUE PROBLEMS OF SPACE-FRACTIONAL DIFFERENTIAL EQUATIONS

H. Wang, D.P. Yang

A NOTE ON SHORT MEMORY PRINCIPLE OF FRACTIONAL CALCULUS

Y.H. Wei, Y.Q. Chen, S.S. Cheng, Y. Wang

FROM FRACTIONAL ORDER EQUATIONS TO INTEGER ORDER EQUATIONS

D. Cao Labora, R. Rodríguez-López

ON GENERALIZED BOUNDARY VALUE PROBLEMS FOR A CLASS OF FRACTIONAL DIFFERENTIAL INCLUSIONS

I. Benedetti, V. Obukhovskii, V. Taddei

FRACTIONAL OPTIMAL CONTROL PROBLEM FOR VARIABLE-ORDER DIFFERENTIAL SYSTEMS

G.M. Bahaa

UNIQUENESS OF SOLUTION FOR HIGHER-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS WITH CONJUGATE TYPE INTEGRAL CONDITIONS

X. Zhang, Q. Zhong

LYAPUNOV-TYPE INEQUALITIES FOR A FRACTIONAL p-LAPLACIAN SYSTEM

M. Jleli, M. Kirane, B. Samet

A CRITICAL FRACTIONAL ELLIPTIC EQUATION WITH SINGULAR NONLINEARITIES

K. Saoudi

A BOUNDARY PROPERTY OF SOME SUBCLASSES OF FUNCTIONS OF BOUNDED TYPE IN THE HALF-PLANE

A. Jerbashian, J. Restrepo

ON WEIGHTED GENERALIZED FRACTIONAL AND HARDY-TYPE OPERATORS ACTING BETWEEN MORREY-TYPE SPACES

E. Burtseva, N. Samko

ERRATUM: THE MEAN VALUE THEOREMS AND A NAGUMO-TYPE UNIQUENESS THEOREM FOR CAPUTO'S FRACTIONAL CALCULUS

K. Diethelm

 

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Expert Systems with Applications

 (Selected)

 

Performance analysis of optimal hybrid novel interval type-2 fractional order fuzzy logic controllers for fractional order systems

Anupam Kumar, Vijay Kumar

Fractional order control of conducting polymer artificial muscles

Mehmet Itik, Erdinc Sahin, Mustafa Sinasi Ayas

Self-evolution of hyper fractional order chaos driven by a novel approach through genetic programming

Fei Gao, Teng Lee, Wen-Jing Cao, Xue-jing Lee, Heng-qing Tong

A fractional order fuzzy PID controller for binary distillation column control

Puneet Mishra, Vineet Kumar, K.P.S. Rana

Optimal design of FIR fractional order differentiator using cuckoo search algorithm

Manjeet Kumar, Tarun Kumar Rawat

Performance analysis of fractional order fuzzy PID controllers applied to a robotic manipulator

Richa Sharma, K.P.S. Rana, Vineet Kumar

Fractional-order PID controller optimization via improved electromagnetism-like algorithm

Ching-Hung Lee, Fu-Kai Chang

Optimum design of fractional order PIλDμ controller for AVR system using chaotic ant swarm

Yinggan Tang, Mingyong Cui, Changchun Hua, Lixiang Li, Yixian Yang

An efficient method for segmentation of images based on fractional calculus and natural selection

Pedram Ghamisi, Micael S. Couceiro, Jón Atli Benediktsson, Nuno M.F. Ferreira

 

 

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 Paper Highlight

The role of fractional calculus in modeling biological phenomena: A review

C. Ionescu, A. Lopes, D. Copot, J.A.T. Machado, J.H.T. Bates

Publication information: Communications in Nonlinear Science and Numerical Simulation, Volume 51, October 2017, Pages 141-159

https://www.sciencedirect.com/science/article/pii/S1007570417301119

 

Abstract

This review provides the latest developments and trends in the application of fractional calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple rules that lead to the emergence of complex phenomena as a result. Of these, the paper addresses the properties in respiratory lung tissue, whose natural solutions arise from the midst of FC in the form of non-integer differ-integral solutions and non-integer parametric models. Diffusion of substances in human body, e.g. drug diffusion, is also a phenomena well known to be captured with such mathematical models. FC has been employed in neuroscience to characterize the generation of action potentials and spiking patters but also in characterizing bio-systems (e.g. vegetable tissues). Despite the natural complexity, biological systems belong as well to this class of systems, where FC has offered parsimonious yet accurate models. This review paper is a collection of results and literature reports who are essential to any versed engineer with multidisciplinary applications and bio-medical in particular.

 

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Method of approximate particular solutions for constant- and variable-order fractional diffusion models

Zhuo-Jia Fu, Wen Chen, Leevan Ling

Publication information: Engineering Analysis with Boundary Elements, Volume 57, August 2015, Pages 37-46

https://www.sciencedirect.com/science/article/pii/S0955799714002136

 

Abstract

The method of approximate particular solutions (MAPS) is an alternative radial basis function (RBF) meshless method, which is defined in terms of a linear combination of the particular solutions of the inhomogeneous governing equations with traditional RBFs as the source term. In this paper, we apply the MAPS to both constant- and variable-order time fractional diffusion models. In the discretization formulation, a finite difference scheme and the MAPS are used respectively to discretize time fractional derivative and spatial derivative terms. Numerical investigation examples show the present meshless scheme has highly accuracy and computationally efficiency for various fractional diffusion models.

 

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