Existence of Two Positive Solutions for Two Kinds of Fractional p -Laplacian Equations
نویسندگان
چکیده
The aim of this paper is to investigate the existence two positive solutions subcritical and critical fractional integro-differential equations driven by a nonlocal operator L K p . Specifically, we get multiple following id="M3"> -Laplacian with help fibering maps Nehari manifold. id="M4"> open="(" close=")"> − Δ s u x = λ q + r , > 0 in Ω ℝ N \ . Our results extend previous in some respects.
منابع مشابه
Existence of Solutions for Two Point Boundary Value Problems for Fractional Differential Equations with P-laplacian
In this paper, we study the existence of positive solutions to boundary value problem for fractional differential equation cDσ 0+(φp(u ′′(t)))− g(t)f(u(t)) = 0, t ∈ (0, 1), φp(u ′′(1)) = 0, φp(u ′′(0)) = 0, αu(0)− βu′(0) = 0, γu(1) + δu′(1) = 0, where cDα 0+ is the Caputo’s fractional derivative of order 1 < σ ≤ 2, φp(s) = |s| p−2s, p > 1, α, β, γ, δ ≥ 0 and f ∈ C([0,∞); [0,∞)), g ∈ C((...
متن کاملExistence of triple positive solutions for boundary value problem of nonlinear fractional differential equations
This article is devoted to the study of existence and multiplicity of positive solutions to a class of nonlinear fractional order multi-point boundary value problems of the type−Dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where Dq0+ represents standard Riemann-Liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ...
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 and uniqueness of solutions for p-laplacian fractional order boundary value problems
In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.
متن کاملExistence solutions for new p-Laplacian fractional boundary value problem with impulsive effects
Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...
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: Journal of function spaces
سال: 2021
ISSN: ['2314-8896', '2314-8888']
DOI: https://doi.org/10.1155/2021/5572645