Multiple solutions for a class of fractional equations
نویسندگان
چکیده
منابع مشابه
Multiple Solutions for a Class of Fractional Boundary Value Problems
and Applied Analysis 3 Definition 2.2 see 8 . Let f t be a function defined on a, b . The left and right RiemannLiouville fractional derivatives of order τ for function f t denoted by aDτbf t and tD τ bf t , respectively, are defined by aD τ t f t d dtn aD τ−n t f t 1 Γ n − τ d dtn (∫ t a t − s n−τ−1f s ds ) , tD τ bf t −1 n d dtn tD τ−n b f t 1 Γ n − τ d dtn (∫b t t − s n−τ−1f s ds ) , 2.2 whe...
متن کاملOn the existence of nonnegative solutions for a class of fractional boundary value problems
In this paper, we provide sufficient conditions for the existence of nonnegative solutions of a boundary value problem for a fractional order differential equation. By applying Kranoselskii`s fixed--point theorem in a cone, first we prove the existence of solutions of an auxiliary BVP formulated by truncating the response function. Then the Arzela--Ascoli theorem is used to take $C^1$ ...
متن کاملExistence of three solutions for a class of fractional boundary value systems
In this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplicity results for a class of nonlinear fractional equations. These problems have a variational structure and we find three solutions for them by exploiting an abstract result for smooth functionals defined on a reflexive Banach space. To make the nonlinear methods work, some careful analysis of t...
متن کاملExistence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.
متن کاملExistence of ground state solutions for a class of nonlinear elliptic equations with fast increasing weight
This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight. We apply the variational methods to prove the existence of ground state solution.
متن کاملذخیره 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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2015
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2015.1.93