Thabet ABDELJAWAD, Qasem AL-MDALLAL, Zakia HAMMOUCH, Fahd JARAD

10496

A Special Issue:Recent Developments in Nonlinear Partial Differential Equations

A Special Issue:Recent Developments in Nonlinear Partial Differential Equations

The literature reveals that numerous real-life phenomena in the subjects of physics and engineering which are governed by highly nonlinear Partial differential equations (PDEs) with unknown analytical solutions. More precisely, the (PDEs) arise in a wide variety of physical problems such as; by way of example not exhaustive enumeration, fluid dynamics, engineering mathematics, electrostatics, plasma physics, solid mechanics, chemistry, quantum field theory, bio-mathematics, etc. Therefore, such (PDEs) have received a huge attention from mathematicians, physicists, and engineers for the sake of approximating their analytical solutions. We aimed in this special issue to publish articles focusing on recent advanced numerical studies on Differential Equations related to physics and engineering. The well-developed analysis of existing numerical algorithms in terms of efficiency, applicability, convergence, stability and accuracy is of importance. A discussion of nontrivial numerical examples is encouraged.
Keywords:

Fractional Integral Equations, Nonlinear PDE, Fractional Differential Equations,

PDF
Advances in the Theory of Nonlinear Analysis and its Application-Cover
  • Başlangıç: 2017
  • Yayıncı: Erdal KARAPINAR
Arşiv
Sayıdaki Diğer Makaleler

Existence Results for a Nonlinear Fourth Order Ordinary Differential Equation with Four-Point Boundary Value Conditions

Md. ASADUZZAMAN

Existence and stability results of relaxation fractional differential equations with Hilfer--Katugampola fractional derivative.

Mohammed ALMALAHI, Satish K. PANCHAL

Multilevel Evaluation of the General Dirichlet Series

Iyad SUWAN

A fixed point theorem for Hardy-Rogers type on generalized fractional differential equations

Basel HARDAN, Jayshree PATİL, Mohammed ABDO, Archana CHAUDHARİ

Periodic, kink and bell shape wave solutions to the Caudrey-Dodd-Gibbon (CDG) equation and the Lax equation

Md. Khorshed ALAM

Analysis and Simulation of Fractional-Order Diabetes Model

Muhammad FARMAN, Ali AKGÜL, Aqeel AHMAD

Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces

Abdelkrim SALİM, Mouffak BENCHOHRA, Jamal Eddine LAZREG, Johnny HENDERSON

Basic properties of certain class of non normal operators

Aissa NASLI BAKIR

Application of Pascal Distribution Series to Ronning Type Starlike and Convex Functions

Gangadharan MURUGUSUNDARAMOORTHY

A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator

Ndolane SENE