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[PDF] Top 20 The uniqueness of solution for a fractional order nonlinear eigenvalue problem with p Laplacian operator

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The uniqueness of solution for a fractional order nonlinear eigenvalue problem with p Laplacian operator

The uniqueness of solution for a fractional order nonlinear eigenvalue problem with p Laplacian operator

... and uniqueness of the positive solution for a fractional differential equation with derivatives are established, and the iterative sequence of the solution, an error estimation and the ... See full document

9

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

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

... 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 ... See full document

12

Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p Laplacian operator

Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p Laplacian operator

... Consequently, in view of Theorem , the boundary value problem given by Eqs. (.) and (.) has at least one nonnegative solution. Since (K, ) satisfies the condition (ii) of The- orem , Theorem  implies ... See full document

12

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

... for fractional differential equations with p-Laplacian operators has attracted the attentions of mathematicians quite recently and only few paper can be found in the literature dealing with ... See full document

11

Positive solution for q fractional four point boundary value problems with p Laplacian operator

Positive solution for q fractional four point boundary value problems with p Laplacian operator

... involving nonlinear fractional q-difference equations by the use of some well-known fixed point theorems and the upper and lower solutions ...the nonlinear q-fractional boundary value problems ... See full document

14

Positive solution for a fractional singular boundary value problem with p-Laplacian operator

Positive solution for a fractional singular boundary value problem with p-Laplacian operator

... In [11], Xu and Dong considered three-point BVP (1.1), but their nonlinearity f : [0, 1]× [0, + ∞ ) → [0, + ∞ ) is continuous, the existence and uniqueness of positive solutions were obtained by using the upper ... See full document

10

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

... on fractional differential equations, see for example, [10-28] and the references ...the nonlinear fractional boundary value problem (BVP for ... See full document

20

Bifurcation results for the critical Choquard problem involving fractional p-Laplacian operator

Bifurcation results for the critical Choquard problem involving fractional p-Laplacian operator

... has a nontrivial solution. We will use a suitable minimax scheme to define an incremental and unbounded sequence of variational eigenvalues. The standard scheme based on the genus is not applicable here, so we will ... See full document

11

Multiple positive solutions for nonlinear mixed fractional differential equation with p Laplacian operator

Multiple positive solutions for nonlinear mixed fractional differential equation with p Laplacian operator

... derivatives. Using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the fractional boundary value problem. A function u(t) is a positive solution of the ... See full document

12

Existence of positive solutions for nonlinear four-point Caputo fractional differential equation with p-Laplacian

Existence of positive solutions for nonlinear four-point Caputo fractional differential equation with p-Laplacian

... the problem of a kind of nonlinear four-point Caputo fractional differential equation with p-Laplacian ...tain nonlinear growth conditions of the nonlinearity, we acquire the ... See full document

15

Eigenvalue problem for fractional differential operator containing left and right fractional derivatives

Eigenvalue problem for fractional differential operator containing left and right fractional derivatives

... linear operator is a classical topic and many functional analytic tools of a general nature may be used to deal with ...differential operator with some boundary value conditions plays an important role in ... See full document

12

The existence of a ground state solution for a class of fractional differential equation with p-Laplacian operator

The existence of a ground state solution for a class of fractional differential equation with p-Laplacian operator

... In order to establish a variational structure which enables us to transform the existence of solutions for boundary value problem (.) into the existence of critical points for the corresponding ... See full document

12

Existence,uniqueness, and nonexistence of solutions to nonlinear diffusion equations with \(p(x,t)\)-Laplacian operator

Existence,uniqueness, and nonexistence of solutions to nonlinear diffusion equations with \(p(x,t)\)-Laplacian operator

... when p(x, t) is a fixed constant, there have been many results about the exis- tence, uniqueness, nonexistence, extinction of the solutions [, , ...and uniqueness of weak solutions of the initial ... See full document

10

Eigenvalue problem for fractional differential equations with nonlinear integral and disturbance parameter in boundary conditions

Eigenvalue problem for fractional differential equations with nonlinear integral and disturbance parameter in boundary conditions

... nonexistence, uniqueness, and multiplicity of positive solutions for a class of eigenvalue problems of nonlinear fractional differential equations with a nonlinear integral term and a ... See full document

23

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

... and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order are ... See full document

11

Positive solutions for a boundary value problem of fractional differential equation with p Laplacian operator

Positive solutions for a boundary value problem of fractional differential equation with p Laplacian operator

... with p-Laplacian operator arise in the modeling of different physical and natural phenomena, non-Newtonian mechanics, non- linear elasticity and glaciology, population biology, nonlinear flow ... See full document

14

Solvability of fractional boundary value problem with p Laplacian operator at resonance

Solvability of fractional boundary value problem with p Laplacian operator at resonance

... abstract operator equations. In [], Pang et al. considered a higher order nonlinear differential equation with a p-Laplacian operator at ... See full document

13

Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p Laplacian Operator

Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p Laplacian Operator

... of fractional calculus itself as well as its applications, fractional differential equations have been constantly attracting attention of many scholars; see, for example, ... See full document

17

Existence of an unbounded branch of the set of solutions for Neumann problems involving the p(x)-Laplacian

Existence of an unbounded branch of the set of solutions for Neumann problems involving the p(x)-Laplacian

... first eigenvalue of the p-Laplacian, Väth [] came at it from another viewpoint to establish the existence of a global branch of solutions for the p-Laplacian with Dirichlet boundary ... See full document

16

Monotone iterative method for a p-Laplacian boundary value problem with fractional conformable derivatives

Monotone iterative method for a p-Laplacian boundary value problem with fractional conformable derivatives

... to nonlinear fractional differential equations, see [15, 33– ...new fractional derivative, which is known as fractional conformable derivative (see definition ...the fractional ... See full document

12

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