2024 Special Issue: Fractal and Fractional
Journal: Fractaland Fractional
Special Issue
Analysis and Numerical Computations of Nonlinear Fractional and Classical Differential Equations
Nonlinear and liner differential equations are used to deal with the real-world problemsin natural and sciences. Fractional differential equations are the generalizedversions of the classical differential equations. There are still many openproblems for the dynamical systems theory of nonlinear PDEs of integer andfractional orders. Fractional calculus is defined by the integrals within singularkernel. General fractional calculus is defined by the integral with nonsingularkernels. The special issue is to invite submissions of original research articles,reviews, and perspectives for the latest developments in the analysis andnumerical computations of nonlinear fractional and classical differentialequations. Potential topics included, but are not limited to:
l Analysisof nonlinear PDEs;
l Computationalmethods for mathematical models in real-world problems;
l Integraltransforms for nonlinear problems;
l Analysisof Fractional mathematical models;
l Specialfunctions in Fractional PDEs;
l Analysisof fractional PDEs;
l Numeralmethods for fractional PDEs;
l Analysisof general fractional PDEs;
l Traveling-wavesolutions for nonlinear PDEs;
l Similaritysolution for nonlinear PDEs;
l Seriesexpansion method for fractional PDEs;
l FiniteElement Method for fractional PDEs;
l Finitedifference method for fractional PDEs;
l Travellingwave solutions for fractional PDEs;
l Groupanalysis for fractional PDEs;
l Reduceddifferential transform method for fractional PDEs;
l Differentialtransform Method for fractional PDEs;
l Residualpower series method for fractional PDEs;
l Homotopyanalysis method fractional PDEs;
l Decompositionmethod fractional PDEs;
l Homotopyperturbation method fractional PDEs;
l Asymptoticperturbation solution for fractional PDEs;
l Variationaliteration method for fractional PDEs;
l Machinelearning method for fractional PDEs.
l Couplingmethods for fractional PDEs;
l Othercomputational methods for fractional PDEs.
Information of the special issue：
https://www.mdpi.com/journal/fractalfract/special_issues/2D6941R0M3
Leading Guest Editor
Prof. Xiao-Jun Yang
China University of Mining and Technology, and Qin Institute of Mathematics, China
Email: dyangxiaojun@163.com or xjyang@cumt.edu.cn
https://www.scopus.com/authid/detail.uri?authorId=37006104500
Guest Editors
Prof. Wen-Xue Zhou
School of Mathematics and Physics, Lanzhou Jiaotong University, China
Email: wxzhou2006@126.com
Prof. S. D. Purohit
Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India
Email: sdpurohit@rtu.ac.in
Prof. Ali Turab
School ofSoftware, Northwestern Polytechnical University, Xian, Shaanxi, 710072, China
Email: aliturab@nwpu.edu.cn
Prof. Ahmed Refaie Ali
Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El Kom 32511, Menofia, Egypt
Email:ahmed.refaie@science.menofia.edu.eg