Results 1 to 10 of about 42 (42)

Non-convex perturbation to evolution problems involving Moreau’s sweeping process

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2023
Along this paper, we study an evolution inclusion governed by the so-called sweeping process. The right side of the inclusion contains a set-valued perturbation, supposed to be the external forces exercised on the system.
Boudjerida Nouha   +2 more
doaj   +1 more source

Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type

open access: yesAlexandria Engineering Journal, 2023
In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli’s fixed point theorem and ρ-resolvent operators. An example is
V. Vijayaraj   +3 more
doaj   +1 more source

Study of Hilfer fractional evolution equations by the properties of controllability and stability

open access: yesAlexandria Engineering Journal, 2021
This paper is devoted to discuss Hilfer fractional evolution equations through its controllability and stability in a Banach space. We achieve our claims and conclusions by first demonstrating the nature and uniqueness of the suggested set of equations ...
Pallavi Bedi   +3 more
doaj   +1 more source

Existence results for neutral evolution equations with nonlocal conditions and delay via fractional operator

open access: yesOpen Mathematics, 2022
In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
doaj   +1 more source

Controllability of fractional stochastic evolution equations with nonlocal conditions and noncompact semigroups

open access: yesOpen Mathematics, 2020
This article deals with the exact controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space under the assumption that the semigroup generated by the linear part is noncompact.
Ding Yonghong, Li Yongxiang
doaj   +1 more source

New results on nonlocal functional integro-differential equations via Hilfer fractional derivative

open access: yesAlexandria Engineering Journal, 2020
In this work, the existence of Hilfer fractional integro-differential equations with nonlocal conditions are discussed. To obtain such result, we use Mo¨nch fixed point theorem and the techniques of noncompactness. An application is presented to validate
R. Subashini   +3 more
doaj   +1 more source

Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods

open access: yesResults in Physics, 2020
In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
doaj   +1 more source

Fourth Order Nonlinear Evolution Equation For Interfacial Gravity Waves In The Presence Of Air Flowing Over Water And A Basic Current Shear

open access: yesInternational Journal of Applied Mechanics and Engineering, 2015
A fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves as first pointed out by Dysthe (1979) is derived for gravity waves propagating at the interface of two superposed fluids of infinite depth ...
D.P. Majumder, A.K. Dhar
doaj   +1 more source

A free boundary problem describing the saturated‐unsaturated flow in a porous medium

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 9, Page 729-755, 2004., 2004
This paper presents a functional approach to a nonlinear model describing the complete physical process of water infiltration into an unsaturated soil, including the saturation occurrence and the advance of the wetting front. The model introduced in this paper involves a multivalued operator covering the simultaneous saturated and unsaturated flow ...
Gabriela Marinoschi
wiley   +1 more source

A Determining Form for a Nonlocal System

open access: yesAdvanced Nonlinear Studies, 2017
This work is concerned with constructing a finite dimensional form (named determining form) by adding a feedback control term through an interpolation operator. The dynamics of the determining form is consistent with those of the original system.
Bai Lu, Yang Meihua
doaj   +1 more source

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