FDA Express

Existence and exact asymptotic behaviour of positive solutions for fractional boundary value problem with P-Laplacian operator
By: Khamessi, Bilel; Hamiaz, Adnane
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 13 Issue: 1 Pages: 370-376 Published: DEC 11 2019

New operational matrices of orthogonal Legendre polynomials and their operational
By: Talib, Imran; Tunc, Cemil; Noor, Zulfiqar Ahmad
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 13 Issue: 1 Pages: 377-389 Published: DEC 11 2019

Fractional Integration and Fat Tails for Realized Covariance Kernels
By: Opschoor, Anne; Lucas, Andre
JOURNAL OF FINANCIAL ECONOMETRICS Volume: 17 Issue: 1 Pages: 66-90 Published: WIN 2019

An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel
By: Qiao, Leijie; Xu, Da; Wang, Zhibo
APPLIED MATHEMATICS AND COMPUTATION Volume: 354 Pages: 103-114 Published: AUG 1 2019

On fractional calculus with general analytic kernels
By: Fernandez, Arran; Ozarslan, Mehmet Ali; Baleanu, Dumitru
APPLIED MATHEMATICS AND COMPUTATION Volume: 354 Pages: 248-265 Published: AUG 1 2019

Solvability and numerical simulations for BVPs of fractional coupled systems involving left and right fractional derivatives
By: Liu, Xiping; Jia, Mei
APPLIED MATHEMATICS AND COMPUTATION Volume: 353 Pages: 230-242 Published: JUL 15 2019

SHARP CONVERGENCE RATES OF TIME DISCRETIZATION FOR STOCHASTIC TIME-FRACTIONAL PDES SUBJECT TO ADDITIVE SPACE-TIME WHITE NOISE
By: Gunzburger, Max; Li, Buyang; Wang, Jilu
MATHEMATICS OF COMPUTATION Volume: 88 Issue: 318 Pages: 1715-1741 Published: JUL 2019

A computational method for solving variable-order fractional nonlinear diffusion-wave equation
By: Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin
APPLIED MATHEMATICS AND COMPUTATION Volume: 352 Pages: 235-248 Published: JUL 1 2019

Stochastic resonance of two coupled fractional harmonic oscillators with fluctuating mass
By: Yu, Tao; Zhang, Lu; Ji, Yuandong; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 72 Pages: 26-38 Published: JUN 30 2019

Existence of positive solutions of a class of multi-point boundary value problems for p-Laplacian fractional differential equations with singular source terms
By: Jong, KumSong; Choi, HuiChol; Ri, YongHyok
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 72 Pages: 272-281 Published: JUN 30 2019

Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations
By: Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 72 Pages: 342-359 Published: JUN 30 2019

Fractal dimension analysis and control of Julia set generated by fractional Lotka-Volterra models
By: Wang, Yupin; Liu, Shutang; Wang, Wen
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 72 Pages: 417-431 Published: JUN 30 2019

Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems
By: Wei, Yiheng; Chen, Yuquan; Wang, Jiachang; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 72 Pages: 472-492 Published: JUN 30 2019

FPGA-based implementation of different families of fractional-order chaotic oscillators applying Grunwald-Letnikov method
By: Dalia Pano-Azucena, Ana; Ovilla-Martinez, Brisbane; Tlelo-Cuautle, Esteban; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 72 Pages: 516-527 Published: JUN 30 2019

Stability analysis and numerical simulations via fractional calculus for tumor dormancy models
By: Silva, Jairo G.; Ribeiro, Aiara C. O.; Camargo, Rubens F.; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 72 Pages: 528-543 Published: JUN 30 2019

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Call for Papers

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Special Issue "Applications of Statistical Thermodynamics"

Entropy (IF:2.305)

Special Issue Information

Dear Colleagues,

Statistical thermodynamics span the bridge between the visible macroscopic world and the invisible atomistic world to evaluate values of atomistic interaction parameters with unambiguous physical significance from measured values of state parameters, such as temperature, pressure and chemical composition under equilibrium state. Unlike conventional thermodynamics, in which entropy, enthalpy, and free energy are defined mathematically in terms of state parameters and thus applicable universally to any system, even without knowing exactly the nature of compound under consideration, statistical thermodynamic analysis must be started from unambiguous a priori modeling of compounds under consideration. When an unrealistic model is chosen at the onset of the statistical thermodynamic approach, the evaluated parameters are without valid physical significance. This inherent nature of the statistical thermodynamic approach might make use of this unique analysis tool somewhat difficult for experimentalists to use casually. However, there also lies a merit of this unique analysis tool to a provide feedback channel to check the validity of the a priori model with reference to the compatibility of the evaluated atomistic interaction parameter values with the macroscopic state parameter values.

The Guest Editor wishes this Special Issue will attract the attention of authors who have been working on entropy and enthalpy aspects of materials science, as well as physicists and chemists using statistical thermodynamics as an analysis tool.

Prof. Dr. Nobumitsu Shohoji
Guest Editor

Special Issue Editor

Guest Editor
Prof. Dr. Nobumitsu Shohoji
LNEG - Laboratório Nacional de Energia e Geologia, LEN - Laboratório de Energia Estrada do Paço do Lumiar, 22 1649-038 Lisboa, Portugal
Website | E-Mail
Phone: +351 21 092 9600 (ext. 4234)
Interests: 1. Statistical thermodynamic analysis of non-stoichiometric interstitial compounds; 2. Synthesis of carbide, nitride and carbo-nitride (using concentrated solar beam as the heat source as well as using conventional electric furnace); 3. Formation and characterization of non-equilibrium solid phases

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1500 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Deadline for manuscript submissions: 30 June 2019

Keywords
-Statistical thermodynamics
-Entropy (configurational, electronic)
-Enthalpy
-Free Energy
-Saddle point approach
-Non-stoichiometry
-Interstitial
-Substitutional

Further information, see https://www.mdpi.com/si/entropy/Statistical_Thermodynamics

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Books
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HAUSDORFF CALCULUS: Applications to Fractal Systems

(Editors: Yingjie Liang, Wen Chen, Wei Cai)

Details: https://www.degruyter.com/view/product/506187#?tdsourcetag=s_pctim_aiomsg

Introduction

This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.

-Presents the theory and applications of Hausdorff calculus.
-Covers applications in dynamics, statistics, mechanics, and computation.
-Of interest to mathematicians and physicists as well as to engineers.

Chapters

-Introduction

-Hausdorff diffusion equation

-Statistics on fractals

-Lyapunov stability of Hausdorff derivative non-linear systems

-Hausdorff radial basis function

-Hausdorff PDE modeling

-Local structural derivative

-Perspectives

The Contents is available at: https://www.degruyter.com/view/product/506187#?tdsourcetag=s_pctim_aiomsg

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Journals
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Fractional Calculus and Applied Analysis

(Volume 22, Issue 1 (Feb 2019))

Ranking the scientific output of researchers in fractional calculus

Machado, J. A. Tenreiro / Lopes, António M.

A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

Sun, HongGuang / Chang, Ailian / Zhang, Yong / Chen, Wen

From power laws to fractional diffusion processes with and without external forces, the non direct way

Abdel-Rehim, Enstar A.

Homogeneous robin boundary conditions and discrete spectrum of fractional eigenvalue problem

Klimek, Malgorzata

The numerical algorithms for discrete Mittag-Leffler functions approximation

Li, Ang / Wei, Yiheng / Li, Zongyang / Wang, Yong

New interpretation of fractional potential fields for robust path planning

Receveur, Jean-Baptiste / Victor, Stéphane / Melchior, Pierre

Stable distributions and green’s functions for fractional diffusions

Nolan, John P.

Fractional calculus in economic growth modelling of the group of seven

Tejado, Inés / Pérez, Emiliano / Valério, Duarte

Relationship between controllability and observability of standard and fractional different orders discrete-time linear system

Kaczorek, Tadeusz / Sajewski, Łukasz

Optimal control of linear systems of arbitrary fractional order

Matychyn, Ivan / Onyshchenko, Viktoriia

Fractional impulsive differential equations: Exact solutions, integral equations and short memory case

Wu, Guo–Cheng / Zeng, De–Qiang / Baleanu, Dumitru

Fractional-order modelling and parameter identification of electrical coils

Abuaisha, Tareq / Kertzscher, Jana

Fractional-order value identification of the discrete integrator from a noised signal. part I

Ostalczyk, Piotr / Sankowski, Dominik / Bąkała, Marcin / Nowakowski, Jacek

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Journal of Rheology

(Selected)

Exact mechanical models of fractional hereditary materials

Mario Di Paola, and Massimiliano Zingales

Oscillations and damping in the fractional Maxwell materials

Robyn H. Pritchard, and Eugene M. Terentjev

Generalization of a theoretical basis for the application of fractional calculus to viscoelasticity

Andrew W. Wharmby, and Ronald L. Bagley

A fractional dashpot for nonlinear viscoelastic fluids

Donggang Yao

Fractional rheology of muscle precursor cells

E. Gerasimova-Chechkina, L. Streppa, L. Schaeffer, A. Devin, P. Argoul, A. Arneodo, and F. Argoul

Three-dimensional constitutive viscoelastic laws with fractional order time derivatives

Nicos Makris

A fractional K-BKZ constitutive formulation for describing the nonlinear rheology of multiscale complex fluids

Aditya Jaishankar, and Gareth H. McKinley

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Paper Highlight

Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line

Guotao Wang, Ke Pei, Ravi P. Agarwal, Lihong Zhang, Bashir Ahmad

Publication information: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 343 Pages: 230-239 Published: DEC 1 2018

http://apps.webofknowledge.com/full_record.do?product=UA&search_mode=GeneralSearch&qid=3&SID=8Eu6tlEd6LjEmt1yRtC&page=1&doc=1&cacheurlFromRightClick=no

Abstract

This article investigates a new class of boundary value problems of one-dimensional lower-order nonlinear Hadamard fractional differential equations and nonlocal multi-point discrete and Hadamard integral boundary conditions. By using monotone iterative method, we not only seek the twin positive solutions of the problem but also show that the monotone iterative schemes converge to a unique positive solution of the problem. An error estimate formula is also given. For the illustration of the main results, we construct an example.

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A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

HongGuang Sun, Ailian Chang, Yong Zhang, Wen Chen

Publication information: Fractional Calculus and Applied Analysis 22 (1), 27-59, 2019

https://www.degruyter.com/view/j/fca.2019.22.issue-1/fca-2019-0003/fca-2019-0003.xml

Abstract

Variable-order (VO) fractional differential equations (FDEs) with a time (t), space (x) or other variables dependent order have been successfully applied to investigate time and/or space dependent dynamics. This study aims to provide a survey of the recent relevant literature and findings in primary definitions, models, numerical methods and their applications. This review first offers an overview over the existing definitions proposed from different physical and application backgrounds, and then reviews several widely used numerical schemes in simulation. Moreover, as a powerful mathematical tool, the VO-FDE models have been remarkably acknowledged as an alternative and precise approach in effectively describing real-world phenomena. Hereby, we also make a brief summary on different physical models and typical applications. This review is expected to help the readers for the selection of appropriate definition, model and numerical method to solve specific physical and engineering problems.

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The End of This Issue
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