FDA Express    Vol. 44, No. 2, Aug. 31, 2022

All issues: http://jsstam.org.cn/fda/

Editors: http://jsstam.org.cn/fda/Editors.htm

Institute of Soft Matter Mechanics, Hohai University
For contribution: jyh17@hhu.edu.cn, fda@hhu.edu.cn
For subscription: http://jsstam.org.cn/fda/subscription.htm

PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol 44_No 2_2022.pdf

◆  Latest SCI Journal Papers on FDA

(Searched on Aug. 31, 2022)

◆  Call for Papers

Advances in Boundary Value Problems for Fractional Differential Equations

ICFCA 2023: 17. International Conference on Fractional Calculus and its Applications

◆  Books

The Variable-Order Fractional Calculus of Variations

◆  Journals

Applied Mathematical Modelling

Fractional Calculus and Applied Analysis

◆  Paper Highlight

A scale-dependent hybrid algorithm for multi-dimensional time fractional differential equations

A note on a modified fractional Maxwell model

◆  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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(Searched on Aug. 31, 2022)

 Application of Hausdorff fractal derivative to the determination of the vertical sediment concentration distribution

By: Hongguang Sun, Shiqian Nie, etc.
INTERNATIONAL JOURNAL OF SEDIMENT RESEARCH Published: Available online 1 August 2022

 Non-convex fractional-order TV model for impulse noise removal

By:Lian, WH and Liu, XW
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 417 Published: ‏Jan 1 2023

 Ritz approximate method for solving delay fractional optimal control problems

By: Mamehrashi, K
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:417    Published: ‏ Jan 1 2023

 Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation

By:Shayegan, AHS
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 417 Published: Jan 1 2023

 Mathematical study of Algae as a bio-fertilizer using fractal-fractional dynamic model

By: Mahmood, T; Rahman, MU; etc.
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: ‏ 203 Page:207-222 Published: Jan 2023

 Trends analysis of rangeland condition monitoring assessment and projection (RCMAP) fractional component time series (1985-2020)

By:Shi, H; Rigge, M; etc.
GISCIENCE & REMOTE SENSING Volume: ‏59 Page: 1243-1265 Published: ‏ Dec 31 2022

 Consistent travelling waves solutions to the non-linear time fractional Klein-Gordon and Sine-Gordon equations through extended tanh-function approach

By:Sadiya, U; Inc, M; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume:16 Page:594-607 Published:Dec 31 2022

 On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order

By:Subramanian, M; Manigandan, M; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: ‏16 Page:1-23 Published: ‏Dec 31 2022

 Dynamical behaviours and soliton solutions of the conformable fractional Schrodinger-Hirota equation using two different methods

By: Koprulu, MO
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume:16 Page:66-74 Published: Dec 31 2022

 Toward an efficient approximate analytical solution for 4-compartment COVID-19 fractional mathematical model

By:Okundalaye, OO; Othman, WAM and Oke, AS
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 416 Published: Dec 15 2022

 Numerical simulation for 2D/3D time fractional Maxwell?s system based on a fast second-order FDTD algorithm

By:Bai, XX; Huang, J; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 416 Published:Dec 15 2022

 Synchrosqueezing transform meets a-stable distribution: An adaptive fractional lower-order SST for instantaneous frequency estimation and non-stationary signal recovery

By: Li, L; Yu, XR; etc.
SIGNAL PROCESSING Volume: 201 Published: ‏ Dec 2022

 Thermoelastic analysis of biological tissue during hyperthermia treatment for moving laser heating using fractional dual-phase-lag bioheat conduction

By:Hu, Y; Zhang, XY and Li, XF
INTERNATIONAL JOURNAL OF THERMAL SCIENCES Volume: 182 Page:11947-11958 Published: ‏ Dec 2022

 Approximate Controllability for Mixed Type Non-autonomous Fractional Differential Equations

By:Zhu, B and Han, BY
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 21 Published: Dec 2022

 Frequency regulation of hybrid multi-area power system using wild horse optimizer based new combined Fuzzy Fractional-Order PI and TID controllers

By: Ali, M; Kotb, H; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: ‏61 Page:12187-12210 Published: ‏ Dec 2022

 Study of fractional order dynamics of nonlinear mathematical model

By:Shah, K; Ali, A; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:11211-11224 Published: ‏Dec 2022

 Dynamical behavior of a fractional-order Hantavirus infection model incorporating harvesting

By:Moustafa, M; Abdullah, FA; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 11301-11312 Published:Dec 2022 |

 Two-dimensional sparse fractional Fourier transform and its applications

By:Wei, DY and Yang, J
SIGNAL PROCESSING Volume: ‏201 Published: Dec 2022

 Modulation instability in fractional Schrodinger equation with cubic-quintic nonlinearity

By:Zhang, JG
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS Volume: 31 Page:12673-12687 Published: Dec 2022

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Call for Papers

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Advances in Boundary Value Problems for Fractional Differential Equations

( A special issue of Fractal and Fractional )

Dear Colleagues: Fractional differential equations have extensive applications in the mathematical modelling of real-world phenomena which occur in scientific and engineering disciplines. This Special Issue will cover new aspects of the recent developments in the theory and applications of fractional differential equations, inclusions, inequalities, and systems of fractional differential equations with Riemann-Liouville, Caputo, and Hadamard derivatives or other generalized fractional derivatives, subject to various boundary conditions. Problems as existence, uniqueness, multiplicity, nonexistence of solutions or positive solutions, and stability of solutions for these models are of great interest for readers who work in this field.

Keywords:

- Fractional differential equations
- Fractional differential inclusions
- Fractional differential inequalities
- Boundary value problems
- Existence, nonexistence
- Uniqueness, multiplicity
- Stability

Organizers:

Prof. Dr. Rodica Luca
Guest Editors

Important Dates:

Deadline for manuscript submissions: 30 September 2022.

All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/BVP_FDE.

ICFCA 2023: 17. International Conference on Fractional Calculus and its Applications

( January 16-17, 2023 in Zurich, Switzerland )

Dear Colleagues: International Conference on Fractional Calculus and its Applications aims to bring together leading academic scientists, researchers and research scholars to exchange and share their experiences and research results on all aspects of Fractional Calculus and its Applications. It also provides a premier interdisciplinary platform for researchers, practitioners and educators to present and discuss the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of Fractional Calculus and its Applications.

Keywords:

- Fractional differential equations
- Fractional integral equations
- Fractional integro-differential equations
- Fractional integrals and fractional derivatives associated with special functions of mathematical physics
- Inequalities and identities involving fractional integrals and fractional derivatives

Organizers:

Anilkumar Devarapu University of North Georgia, United States
Xuezhang Hou Towson University, United States
Christina Pospisil University of Salvador, United States

Important Dates:

Deadline for manuscript submissions: September 01, 2022.

All details on this conference are now available at: https://waset.org/fractional-calculus-and-its-applications-conference-in-january-2023-in-zurich.

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Books

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The Variable-Order Fractional Calculus of Variations

( Authors: Ricardo Almeida, Dina Tavares, Delfim F. M. Torres )

Details:https://doi.org/10.1007/978-3-319-94006-9

Book Description:

The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided.

The contributors consider variational problems that may be subject to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, they establish necessary optimality conditions of Euler–Lagrange type. As the terminal point in the cost integral is free, as is the terminal state, transversality conditions are also obtained.

The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics, physics, engineering, control and optimization; it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields, as it solves multiple variational problems subject to one or more constraints in a single brief.

Author Biography:

Ricardo Almeida, Department of Mathematics, University of Aveiro, Aveiro, Portugal
Dina Tavares, Polytechnic Institute of Leiria, Leiria, Portugal
Delfim F. M. Torres, Department of Mathematics, University of Aveiro, Aveiro, Portugal

Contents:

Front Matter

Fractional Calculus
Abstract; Historical Perspective; Special Functions; Fractional Integrals and Derivatives; References;

The Calculus of Variations
Abstract; The Classical Calculus of Variations Fractional Calculus of Variations References;

Expansion Formulas for Fractional Derivatives
Abstract; Caputo-Type Fractional Operators of Variable-Order Numerical Approximations Example Applications; References;

The Fractional Calculus of Variations
Abstract; Introduction; Fundamental Variational Problem; Higher-Order Variational Problems; Variational Problems with Time Delay; Isoperimetric Problems; Variational Problems with Holonomic Constraints; Fractional Variational Herglotz Problem; References;

Back Matter

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Applied Mathematical Modelling

 (Selected)

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Publication information: Fractional Calculus and Applied Analysis: Published: 24 August 2022

https://doi.org/10.1007/s13540-022-00083-7

Abstract

Time fractional differential model is an effective tool to characterize anomalous diffusion phenomena in hydrology and environmental science. Efficient numerical method is necessary to overcome the bottleneck of expensive computational cost for real-world application. Therefore, this paper proposes a scale-dependent hybrid algorithm to numerically solve multi-dimensional time fractional differential models. We employ the Hausdorff metric-based hybrid algorithm to discretize time terms of time fractional differential equations (FDEs) with variable step size, which is applicable to non-uniform time steps geological problems. Meantime, another advantage of the proposed algorithm is optimizing the computational process. The method only requires O(n_s n_e) memory and O(n_s n_t n_e) computational cost while classical finite difference method relatively demands O(n_s n_e) and O(n_s n_s n²_t), where ns, nt and ne are the number of space nodes, time steps and exponentials, respectively. Furthermore, we adopt a meshless generalized finite difference method to discretize space terms of FDEs. Robustness and accuracy of the new algorithm are verified by two examples and a set of experimental data.

A note on a modified fractional Maxwell model

Publication information: Chaos, Solitons & Fractals : Volume 163, October 2022
https://doi.org/10.1016/j.chaos.2022.112544