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
◆ Call for Papers
◆ Books
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
◆ Websites of Interest
Fractal derivative and operators and their applications
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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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
By: Yang, Chao; Gao, Zhe; Liu, Fanghui
IET CONTROL THEORY AND APPLICATIONS Volume: 12 Issue: 4 Pages: 456-465 Published: MAR 6 2018
By: Taghavian, Hamed; Tavazoei, Mohammad Saleh
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL Volume: 28 Issue: 4 Pages: 1127-1144 Published: MAR 10 2018
By: Mirzaee, Farshid; Samadyar, Nasrin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 4 Pages: 1410-1423 Published: MAR 15 2018
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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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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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
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
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
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
K. Diethelm
[Back]
Expert Systems with Applications
(Selected)
Anupam Kumar, Vijay Kumar
Fractional order control of conducting polymer artificial muscles
Mehmet Itik, Erdinc Sahin, Mustafa Sinasi Ayas
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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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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