Advances in Dynamical Systems and Applications

In this paper we study the existence of integrable solutions for fractional order implicit differential equations with the Caputo-Hadamard fractional derivative of order α ∈ (1, 2].Our results are based on Schauder's fixed point theorem and the Banach fixed point theorem.

Ahmed Zahed

Samira Hamani

Johnny Henderson

Integrable Solutions for Caputo-Hadamard Implicit Fractional Order Differential Equations

Caputo-Hadamard隐式分数阶微分方程的可积解

Saıd Abbas

Ravi P. Agarwal

Mouffak Benchohra

Jamal Eddine Lazreg

Bashir Ahmad

Bounded Weak Solutions for Hilfer Fractional Differential Equations on the Half Line

半线上Hilfer分数阶微分方程的有界弱解

In this paper, we prove the existence of a solution for a variational inequality associated with the Maxwell-Stokes type equation in a bounded multiply connected domain with holes.Our equation is nonlinear and contains, the so called, p-curlcurl equation.Furthermore, we obtain the continuous dependence of the solution on the data.

Junichi Aramaki

Existence of a Solution for a Variational Inequality Associated with the Maxwell-Stokes Type Problem and the Continuous Dependence of the Solution on the Data

Maxwell-Stokes型问题相关变分不等式解的存在性及解对数据的连续依赖性

In this study, we consider a proof with respect to the Laplace transform of the n-th derivative of any order by mathematical induction.The content with respect to the Laplace transform of the n-th derivative is widely used without a strict proof.Hence, we propose a proof by applying the rigor of mathematical induction.

Hwajoon Kim

A Proof with Respect to Laplace Transform of the n-th Derivative by Mathematical Induction

关于数学归纳法的n阶导数的拉普拉斯变换证明

Recently, the notion of I λ -convergence in an intuitionistic fuzzy n-normed spaces was introduced by Konwar et al. [N.Konwar and P. Debnath.I λ -convergence in intuitionistic fuzzy n-normed linear space.07 2016].In this article with the help of the notion I λ -convergence , we introduce some new Orlicz sequence spaces.Further, we examine some topological properties on these spaces.

Vakeel A. Khan

Abdullah A. H. Makharesh

Mohammad Faisal Khan

Sameera A. A. Abdullah

Kamal M. A. S. Alshlool

On Intuitionistic Fuzzy n–Normed I –Convergence of Sequence spaces Defined by Orlicz Function

关于由Orlicz函数定义的序列空间的直觉模糊n-范数I-收敛性

In this paper we will show that the category of C 0 -semigroups possesses inductive limits under certain Trotter-Kato type conditions.

Christian Budde

On Trotter–Kato type inductive limits in the category of C0-semigroups

关于C0-半群范畴中的Trotter-Kato型归纳极限

In this contribution, we determine the exact solutions of the potential Kortewegde Vries equation, a partial differential equation (PDE).The procedure followed involves first transforming this equation into an ordinary differential equation (ODE), using Sophus Lie' symmetry group theoretical methods.The resulting ODE is then resolved through a procedure developed through differentiable topological methods, a technique developed by the third author.The pure Lie approach leads to un-integrable integrals.

Rabodiba K.O.M

Jamal S.Y

Manale J.M.

An analysis of the potential Korteweg-DeVries equation through regular symmetries and topological manifolds

通过正则对称性和拓扑流形分析Korteweg-DeVries方程的潜在性

The article introduces analytical modifications of the approximating functions method, a special case of finite element method (FEM), which entail an increase in its computational performance for solving electrodynamics problems in one space dimension and time domain (1D+T) inside inhomogeneity with nonlinear media placed in the linear one, using the Volterra integral equation method, which is an integral equations equivalent to Maxwell's equations.The purpose of this study is not only to make the analytical improvements, but also to adapt them for fast and convenient programming and fast computations.The proposed method was validated on the problems of interaction of electromagnetic waves incident on a layer with second-order and third-order nonlinear medium inserted in linear media.

D. Zolotariov

Improvements of Approximating Functions Method for Solving Problems with a Dielectric Layer with Media of a High Degree of Nonlinearity

高非线性介质层问题求解的近似函数方法改进

Shalini Yadav

Rahul Rishi

A Systematic and Critical Analysis of the Developments in the Field of Intelligent Transportation System

智能交通系统发展领域的系统性与批判性分析

This paper deals with the Ulam-Hyers stability of a quadratic functional equationusing direct and fixed point methods in fuzzy normed space.

Publication Information	Publisher: Research India Publications，Publishing cycle: ，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 2019，Proportion of original research papers: 0.00%，Self Citation Rate:N.A.， Gold OA Rate: 0.00%

Advances in Dynamical Systems and Applications

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