Results 11 to 20 of about 195,918 (284)

New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations

open access: yesMathematics, 2017
This paper introduces a new analytical technique (NAT) for solving a system of nonlinear fractional partial differential equations (NFPDEs) in full general set. Moreover, the convergence and error analysis of the proposed technique is shown.
Hayman Thabet   +2 more
doaj   +3 more sources

A fractional mathematical model with nonlinear partial differential equations for transmission dynamics of severe acute respiratory syndrome coronavirus 2 infection

open access: yesHealthcare Analytics, 2023
This study presents a fractional mathematical model based on nonlinear Partial Differential Equations (PDEs) of fractional variable-order derivatives for the host populations experiencing transmission and evolution of the Severe Acute Respiratory ...
Hayman Thabet, Subhash Kendre
doaj   +3 more sources

Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations

open access: yesFractal and Fractional, 2022
A nonlocal boundary value problem for a couple of two scalar nonlinear differential equations with several generalized proportional Caputo fractional derivatives and a delay is studied.
Ravi P. Agarwal, Snezhana Hristova
doaj   +1 more source

Fast Method for Estimating the Parameters of Partial Differential Equations from Inaccurate Observations

open access: yesMathematics, 2023
In this paper, the problems of estimating the parameters of partial differential equations from numerous observations in the vicinity of some reference points are considered.
Gurami Tsitsiashvili   +2 more
doaj   +1 more source

Solving Nonlinear Fractional PDEs with Applications to Physics and Engineering Using the Laplace Residual Power Series Method

open access: yesInternational Journal of Differential Equations, 2023
The Laplace residual power series (LRPS) method uses the Caputo fractional derivative definition to solve nonlinear fractional partial differential equations. This technique has been applied successfully to solve equations such as the fractional Kuramoto–
Khalid K. Ali   +4 more
doaj   +1 more source

On soliton solutions of a modified nonlinear Schrödinger’s equation of third-order governing in optical fibers

open access: yesResults in Physics, 2022
Recently, the development of novel methods for finding solutions to partial differential equations has made great progress in various fields of science. These equations are an important tool in describing many phenomena that occur around us. The research
Shahram Rezapour   +3 more
doaj   +1 more source

On gauge transformations of B\"acklund type and higher order nonlinear Schr\"odinger equations [PDF]

open access: yes, 2002
We introduce a new, more general type of nonlinear gauge transformation in nonrelativistic quantum mechanics that involves derivatives of the wave function and belongs to the class of B\"acklund transformations.
Doebner   +5 more
core   +2 more sources

Steady state analysis of Chua's circuit with RLCG transmission line [PDF]

open access: yes, 1999
In this paper we present a new technique to compute the steady state response of nonlinear autonomous circuits with RLCG transmission lines. Using multipoint Pade approximants, instead of the commonly used expansions around s=0 or s/spl rarr//spl infin ...
Bonet Dalmau, Jordi   +2 more
core   +1 more source

Numerical solutions of nonlinear fractional Wu–Zhang system for water surface versus three approximate schemes

open access: yesJournal of Ocean Engineering and Science, 2019
This paper examines the effects of three distinct numerical schemes (Adomian Decomposition, quintic & septic Spline methods) to investigate semi-analytical and approximate solutions on Wu–Zhang (ZW) system.
Mostafa M.A. Khater   +2 more
doaj   +1 more source

New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics

open access: yesInternational Journal of Applied Mechanics and Engineering, 2021
This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics.
M. Paliivets   +4 more
doaj   +1 more source

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