Mathematical Problems in Engineering

Recent Trends in Special Functions and Analysis of Differential Equations


Publishing date
01 Oct 2020
Status
Closed
Submission deadline
12 Jun 2020

Lead Editor

1Anand International College of Engineering, Jaipur, India

2Pierre and Marie Curie University (Paris VI), Paris, France

3Kyushu Institute of Technology, Kitakyushu, Japan

4Poornima College of Engineering, Jaipur, India

This issue is now closed for submissions.
More articles will be published in the near future.

Recent Trends in Special Functions and Analysis of Differential Equations

This issue is now closed for submissions.
More articles will be published in the near future.

Description

In recent years, various families of special functions such as those named after Gamma, Beta, and hypergeometric functions have been found to be remarkably important, due mainly to their demonstrated applications in numerous diverse and widespread areas of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these special functions are used as useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations, fractional-calculus analogues and extensions of each of these equations, and various other problems involving special functions in mathematical physics and applied mathematics.

This Special Issue aims to provide a forum for researchers and scientists to communicate their recent developments and to present recent results in theory and applications of partial differential equations. Original research papers and review articles focused on the fields of the construction and investigation of solutions to both well-posed and ill-posed boundary value problems for partial differential equations - as well as their related applications-are welcomed.

Potential topics include but are not limited to the following:

  • Fractional-order ordinary differential equation (ODEs) and partial differential equations (PDEs) involving special functions and their applications
  • Fractional-order integrals and fractional-order derivatives associated with special functions of mathematical physics and applied mathematics
  • Problems involving positive operators associated with special functions with classical and nonclassical boundary conditions
  • New methods in theory and applications of PDEs
  • Stochastic PDE models and applications
  • Computational methods in PDEs

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 1067582
  • - Research Article

A Novel Method for Solution of Fractional Order Two-Dimensional Nonlocal Heat Conduction Phenomena

Hammad Khalil | Ishak Hashim | ... | Abuzar Ghaffari
  • Special Issue
  • - Volume 2020
  • - Article ID 8041857
  • - Research Article

Asymptotic Behavior of Solutions of Even-Order Advanced Differential Equations

Omar Bazighifan | Hijaz Ahmad
  • Special Issue
  • - Volume 2020
  • - Article ID 2028763
  • - Research Article

A Highly Efficient and Accurate Finite Iterative Method for Solving Linear Two-Dimensional Fredholm Fuzzy Integral Equations of the Second Kind Using Triangular Functions

Mohamed A. Ramadan | Heba S. Osheba | Adel R. Hadhoud
  • Special Issue
  • - Volume 2020
  • - Article ID 7359242
  • - Research Article

Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model

Juan L.G. Guirao | Zulqurnain Sabir | Tareq Saeed
  • Special Issue
  • - Volume 2020
  • - Article ID 8596736
  • - Research Article

Certain Generating Relations Involving the Generalized Multi-Index Bessel–Maitland Function

Shilpi Jain | Juan J. Nieto | ... | Junesang Choi
  • Special Issue
  • - Volume 2020
  • - Article ID 4597937
  • - Research Article

Study on Fuzzy Neural Sliding Mode Guidance Law with Terminal Angle Constraint for Maneuvering Target

Xin Wang | Xue Qiu
  • Special Issue
  • - Volume 2020
  • - Article ID 2749138
  • - Research Article

A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative

Hoa Ngo Van | Vu Ho
  • Special Issue
  • - Volume 2020
  • - Article ID 9704968
  • - Research Article

Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods

Zulqurnain Sabir | Juan L. G. Guirao | ... | Fevzi Erdoğan
  • Special Issue
  • - Volume 2020
  • - Article ID 3863819
  • - Research Article

A New Faster Iterative Scheme for Numerical Fixed Points Estimation of Suzuki’s Generalized Nonexpansive Mappings

Shanza Hassan | Manuel De la Sen | ... | Azhar Hussain
  • Special Issue
  • - Volume 2020
  • - Article ID 1936461
  • - Research Article

Simpson’s Integral Inequalities for Twice Differentiable Convex Functions

Miguel Vivas-Cortez | Thabet Abdeljawad | ... | Yenny Rangel-Oliveros
Mathematical Problems in Engineering
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.