On a fractional Kirchhoff-type equation via Krasnoselskii’s genus

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type

We study the existence of positive solutions to the following nonlocal boundary value problem −K ‖u‖2 Δu λus−1 f x, u inΩ, u 0 on ∂Ω, where s ∈ 1, 2 , f : Ω×R → R is a Carathéodory function,K : R → R is a positive continuous function, and λ is a real parameter. Direct variational methods are used. In particular, the proof of the main result is based on a property of the infimum on certain spher...

متن کامل

On the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term

Questions on the existence of positive solutions for the following class of elliptic problems are studied: − M ‖u‖p1,p 1,p Δpu f x, u , in Ω, u 0, on ∂Ω, where Ω ⊂ R is a bounded smooth domain, f : Ω ×R → R and M : R → R, R 0,∞ are given functions. Copyright q 2008 F. J. S. A. Corrêa and R. G. Nascimento. This is an open access article distributed under the Creative Commons Attribution License,...

متن کامل

Homotopy perturbation method for solving fractional Bratu-type equation

In this paper, the homotopy perturbation method (HPM) is applied to obtain an approximate solution of the fractional Bratu-type equations. The convergence of the method is also studied. The fractional derivatives are described in the modied Riemann-Liouville sense. The results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional p...

متن کامل

Exact solutions of a linear fractional partial differential equation via characteristics method

‎In recent years‎, ‎many methods have been studied for solving differential equations of fractional order‎, ‎such as Lie group method, ‎invariant subspace method and numerical methods‎, ‎cite{6,5,7,8}‎. Among this‎, ‎the method of characteristics is an efficient and practical method for solving linear fractional differential equations (FDEs) of multi-order‎. In this paper we apply this method f...

متن کامل

A solution of nonlinear fractional random differential equation via random fixed point technique

In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Asymptotic Analysis

سال: 2015

ISSN: 1875-8576,0921-7134

DOI: 10.3233/asy-151316