|| Special issue || Machine learning approaches for numerical solution of generalized partial differential equations

Deadline for Submissions: 31 January 2025

Special Issue Editors

Guest Editor

Dr. Hammad Khalil

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Website

Affiliation

Department of mathematics, University of Education, Lahore, Pakistan

Interests

Fractional Calculus, Spectral Theory, Special functions, Approximation theory, Existence theory, Chaos Theory, Machine Learning

Guest Editor

Dr. Abuzar Ghaffari

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Website

Affiliation

Department of mathematics, University of Education, Lahore, Pakistan

Interests

Partial Differential Equations, Computational Fluid Dynamics, Machine Learning, Optimization

Guest Editor

Dr. Jin Wen

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Website

Affiliation

Associate professor, Department of mathematics, Northwest Normal University, Lanzhou, P. R. China

Interests

Inverse problems, Ill-posed problems, Fractional Calculus, Spectral Theory, Special functions, Approximation theory, Partial Differential Equations, Optimization, Machine learning

Guest Editor

Dr. Mishu Gupta

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Website

Affiliation

Department of Physics, Khalsa college for women, Civil Lines, Ludhiana Punjab, India

Interests

Discrete, Non linear, Schrödinger equations, partial differential equations, Rogue waves, computational techniques

Special Issue Information

Most of the natural phenomena are modeled in terms of ordinary or partial differential equations. These equations can be nonlinear or linear. In the last decade it is observed that fractional order equations are often more accurate as compared to the integer order model. The recent advancement in artificial intelligence introduced new way to approximate solution to applied problems. This aim of this issue is to collect articles focused on theoretical development of approximation procedures based on artificial intelligence.

This special issue is intended to present high-quality original research articles as well as review articles, short communication, and letters focused on "Machine learning approaches for numerical solution of generalized partial differential equations".

The scope of this Special Issue includes, but is not limited to:

 · Developments in spectral method for nonlinear FDES of FPDES
 · Development in the theory of machine learning and its coupling with approximation procedure
 · Application of special functions in machine learning algorithms
 · Designing special functions based classifiers and recognizers
 · Application of machine learning algorithms in fluid dynamics
 · Special functions and its applications to bio mathematical models
 · Machine learning approaches for medical images recognitions
 · Development of new mathematical models (fractional order) for any natural or physical phenomena
 · Theoretical improvements in optimization theory for solution of fractional order systems

Manuscripts could be submitted via our online system: https://ojs.wiserpub.com/index.php/CM/about/submissions. Please visit the Instructions for Authors page before submitting a manuscript.

For any queries, please feel free to contact the CM Special Issue Coodinator (wayne@wiserpub.com).

Published Papers

This special issue is now open for submission.