Journal• ISSN: 1359-8678
Nonlinear Studies
About: Nonlinear Studies is an academic journal. The journal publishes majorly in the area(s): Nonlinear system & Differential equation. It has an ISSN identifier of 1359-8678. Over the lifetime, 562 publications have been published receiving 3211 citations.
Topics: Nonlinear system, Differential equation, Boundary value problem, Fixed-point theorem, Banach space
Papers published on a yearly basis
Papers
Journal Article•
TL;DR: This paper attempts to be the single most comprehensive source about the Sumudu Transform properties, up to date.
Abstract: The Sumudu Transform, herein simply referred to as the Sumudu, was previously firmly established by the author et al.[2003/2005] as the theoretical dual to the Laplace Transform, where from the Laplace-Sumudu Duality (LSD). In fact, due to its units and scale preserving properties, in many instances, the Sumudu may be preferred to its dual for solving problems in engineering mathematics, without leaving the initial argument domain. Many fundamental Sumudu properties were presented in the literature, by this author and others. Aside from reestablishing these with alternative tools, essentially deeper Sumudu properties and connections are analyzed, and new results are presented. As such, this paper attempts to be the single most comprehensive source about the Sumudu Transform properties, up to date.
110 citations
Journal Article•
TL;DR: In this paper numerical algorithms for solving 'fuzzy ordinary differential equations' based on Sikkala's derivative of fuzzy process, based on Runge-Kutta method of order 4 are considered.
Abstract: In this paper numerical algorithms for solving 'fuzzy ordinary differential equations' based on Sikkala's derivative of fuzzy process [9], are considered. A numerical method based on the Runge-Kutta method of order 4 in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy Cauchy problems.
94 citations
Journal Article•
TL;DR: In this paper, a table of a hundred instances of basic and special functions fractional integrals sumudi is provided, and some Sumudu properties are either generalized, or newly established.
Abstract: In this work, Sumudu transform applications are extended to fractional integrals and derivatives. A table of a hundred instances of basic and special functions fractional integrals sumudi is provided. Some Sumudu properties are either generalized, or newly established. The Sumudu operator is then shown to help solve wide classes of fractional differential equations. 1 Introduction: Sumudu transform, fractional integrals and derivatives.
90 citations
Journal Article•
TL;DR: In this paper, a modification of a fixed point theorem of Krasnoselskii is used to prove stability in a scalar functional differential equation, where a and b can be unbounded.
Abstract: This is a paper in a series of investigations into the use of fixed point theorems to prove stability. Here, we use a modification of a fixed point theorem of Krasnoselskii. The work concerns a scalar functional differential equation $x' =-a(t)x^3 + b(t)x^3(t-r(t))$ where $r(t)$ need be neither bounded nor differentiable, while a and b can be unbounded. Such problems have proved very challenging in the theory of Liapunov's direct method. We show that it fits very nicely into the framework of the modified Krasnoselskii theorem so that asymptotic stability is readily concluded.
83 citations
Journal Article•
TL;DR: In this article, a comparison of the performance of a fuzzy controller after applying the Simple Tuning Algorithm (STA) against a PID controller tuned with the Ziegler-Nichols method in a speed control of a DC motor is presented.
Abstract: In this paper is presented a comparison of the performance of a fuzzy controller after applying the Simple Tuning Algorithm (STA), against the performance of a PID controller tuned with the Ziegler-Nichols method in a speed control of a DC motor. Experimental results using a real DC gear motor are presented.
73 citations
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Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 4 |
| 2020 | 21 |
| 2019 | 27 |
| 2018 | 28 |
| 2017 | 39 |
| 2016 | 35 |