existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

Existence 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.

Existence and uniqueness of solutions for fractional boundary value problems with p-Laplacian operator

*Correspondence: [email protected] Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China Abstract In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green function and the Guo-Krasnoselskii fixed point theorem and the Ban...

Existence 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...

Existence and Uniqueness of Solutions for Boundary Value Problems to the Singular One-Dimension p-Laplacian

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((...

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...