FDA Express    Vol. 7, No. 6, Jun. 30, 2013

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

Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com, hushuaihhu@gmail.com
For subscription: http://em.hhu.edu.cn/fda/subscription.htm

PDF Download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol7_No6_2013.pdf

◆  Latest SCI Journal Papers on FDA

(Searched on 30 June 2013)

◆  Conferences

Summary: International Symposium on Fractional PDEs: Theory, Numerics and Applications

◆  Books

◆  Journals

Fractional Calculus and Applied Analysis

Nonlinear Dynamics

◆  Paper Highlight

A study of nonlinear Langevin equation involving two fractional orders in different intervals

A Survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions

◆  Websites of Interest

Fractional Calculus & Applied Analysis

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 Latest SCI Journal Papers on FDA
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(Searched on 30 June 2013)

Title: Existence of solutions for impulsive differential models on half lines involving Caputo fractional derivatives
Author(s): Liu, Yuji
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18 Issue: 10 Pages: 2604-2625 DOI: 10.1016/j.cnsns.2013.02.003 Published: OCT 2013

Title: The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy
Author(s): Wang, Hui; Xia, Tie-Cheng
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18 Issue: 10 Pages: 2859-2867 DOI: 10.1016/j.cnsns.2013.02.005 Published: OCT 2013

Title: Fractional derivative and time delay damper characteristics in Duffing-van der Pol oscillators
Author(s): Leung, A. Y. T.; Guo, Zhongjin; Yang, H. X.
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18 Issue: 10 Pages: 2900-2915 DOI: 10.1016/j.cnsns.2013.02.013 Published: OCT 2013

Title: Frequency domain design of fractional order PID controller for AVR system using chaotic multi-objective optimization
Author(s): Pan, Indranil; Das, Saptarshi
Source: INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS Volume: 51 Pages: 106-118 DOI: 10.1016/j.ijepes.2013.02.021 Published: OCT 2013

Title: Fractional-Order (PID mu)-D-lambda and Active Disturbance Rejection Control of Nonlinear Two-Mass Drive System
Author(s): Erenturk, Koksal
Source: IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: 60 Issue: 9 Pages: 3806-3813 DOI: 10.1109/TIE.2012.2207660 Published: SEP 2013

Title: Nonlinear fractional integro-differential equations on unbounded domains in a Banach space
Author(s): Zhang, Lihong; Ahmad, Bashir; Wang, Guotao; et al.
Source: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 249 Pages: 51-56 DOI: 10.1016/j.cam.2013.02.010 Published: SEP 2013

Title: Numerical analysis of a two-parameter fractional telegraph equation
Author(s): Ford, Neville J.; Manuela Rodrigues, M.; Xiao, Jingyu; et al.
Source: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 249 Pages: 95-106 DOI: 10.1016/j.cam.2013.02.009 Published: SEP 2013

Title: Two compartmental fractional derivative model with fractional derivatives of different order
Author(s): Popovic, Jovan K.; Pilipovic, Stevan; Atanackovic, Teodor M.
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18 Issue: 9 Pages: 2507-2514 DOI: 10.1016/j.cnsns.2013.01.004 Published: SEP 2013

Title: Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion
Author(s): Caraballo, Tomas; Diop, Mamadou Abdoul
Source: FRONTIERS OF MATHEMATICS IN CHINA Volume: 8 Issue: 4 Pages: 745-760 DOI: 10.1007/s11464-013-0300-3 Published: AUG 2013

Title: Fractional order sliding mode controller design for antilock braking systems
Author(s): Tang, Yinggan; Zhang, Xiangyang; Zhang, Dongli; et al.
Source: NEUROCOMPUTING Volume: 111 Pages: 122-130 DOI: 10.1016/j.neucom.2012.12.019 Published: JUL 2 2013

Title: Fractional models for modeling complex linear systems under poor frequency resolution measurements
Author(s): Barbe, Kurt; Rodriguez, Oscar J. Olarte; Van Moer, Wendy; et al.
Source: DIGITAL SIGNAL PROCESSING Volume: 23 Issue: 4 Pages: 1084-1093 DOI: 10.1016/j.dsp.2013.01.009 Published: JUL 2013

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Conferences

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Summary: International Symposium on Fractional PDEs: Theory, Numerics and Applications

June 3-5, 2013, Newport, RI, USA

At this first international symposium on fractional PDEs (FPDEs) in the USA, leading researchers from across the world converged to the beautiful campus of Salve Regina University at Newport, Rhode Island, USA, on 3-5 June, 2013, to discuss the theory, algorithms and applications of fractional PDEs. This was a 3-day intensive workshop where invited speakers gave 30 presentations on a range of topics, including special classes of functions for fundamental solutions of FPDEs, new numerical methods ranging from low-order to high-order accuracy, the new and exciting area of tempered fractional calculus, and corresponding emerging applications of fractional modeling in decision making networks, brain imaging, electrophysiology of the human heart, anomalous transport and wave propagation, mechanics, optimal image processing, etc. In addition to the 30 invited speakers, there were another 45 attendees, mostly young postdocs and PhD students but also senior researchers from around the world.

The symposium began with an opening statement from Prof. George Karniadakis, the Chair of Organization Committee and Professor at the Division of Applied Mathematics, Brown University, who welcomed the workshop participants and argued in favor of fractional modeling in computational science and engineering. Subsequently, Prof. Jan Hesthaven, the co-organizer of the Symposium, stated that selected papers of high quality will be peer-reviewed for possible publication in an upcoming special issue of the Journal of Computational Physics dedicated to Numerical Methods for FPDEs. The technical sessions started with two lectures on theory of FPDEs given by the two pioneers of the field Prof. Francesco Mainardi (University of Bologna) and Prof. Rudolf Gorenflo (Free University of Berlin).

The Symposium was sponsored by the new Department of Energy Collaboratory on Mathematics for Mesoscopic Modeling of Materials (CM4) at PNNL, the Air Force Office of Scientific Research, and the US Army Research Office.

For more details please refer to:
http://www.dam.brown.edu/International%20Symposium/internationalsymposiumonfractionalPDEs.htm

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Mathematical Morphology in Geomorphology and GISci

Behara Seshadri Daya Sagar

Book Description
Mathematical Morphology in Geomorphology and GISci presents a multitude of mathematical morphological approaches for processing and analyzing digital images in quantitative geomorphology and geographic information science (GISci). Covering many interdisciplinary applications, the book explains how to use mathematical morphology not only to perform quantitative morphologic and scaling analyses of terrestrial phenomena and processes, but also to deal with challenges encountered in quantitative spatial reasoning studies.
 For understanding the spatiotemporal characteristics of terrestrial phenomena and processes, the author provides morphological approaches and algorithms to:
 Retrieve unique geomorphologic networks and certain terrestrial features
 Analyze various geomorphological phenomena and processes via a host of scaling laws and the scale-invariant but shape-dependent indices
 Simulate the fractal-skeletal-based channel network model and the behavioral phases of geomorphologic systems based on the interplay between numeric and graphic analyses
 Detect strategically significant sets and directional relationships via quantitative spatial reasoning
 Visualize spatiotemporal behavior and generate contiguous maps via spatial interpolation
Incorporating peer-reviewed content, this book offers simple explanations that enable readers—even those with no background in mathematical morphology—to understand the material. It also includes easy-to-follow equations and many helpful illustrations that encourage readers to implement the ideas.

Contents
1 Introduction
2 Mathematical Morphology: An Introduction
3 Simulated,Realistic Digital Elevation Models, Digital Bathymetric Maps, Remotely Sensed Data, and Thematic
4 Feature Extraction
5 Terrestrial Surface Characterization :A Quantitative Perspective
6 Size Distributions, Spatial Heterogeneity, and Scaling laws
7 Morphological Shape Decomposition: Scale-Invariant
8 Granulometries, Convexity Measures, and Geodesic Spectrum
9 Synthetic Examples to Understand Spatiotemporal Dynamics of Certain Geo(morpho)logical process
10 Quantitative Spatial Relationships and Spatial Reasoning
11 Derivation of Spatially Significant Zones from a Cluster
12 Directional Spatial Relationship
13 “Between” Space
14 Spatial Interpolations

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Abstract
This paper studies a nonlinear Langevin equation involving two fractional orders α∈(0,1] and β∈(1,2] with three-point boundary conditions. The contraction mapping principle and Krasnoselskii’s fixed point theorem are applied to prove the existence of solutions for the problem. The existence results for a three-point third-order nonlocal boundary value problem of nonlinear ordinary differential equations follow as a special case of our results. Some illustrative examples are also discussed.