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[PDF] Top 20 Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian

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Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian

Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian

... of solutions for nonlinear fractional differential equations have been studied extensively by using the theory of coincidence degree, some fixed point theorems, upper-lower solution method, monotone iterative ... See full document

16

Infinitely many solutions via critical points for a fractional p Laplacian equation with perturbations

Infinitely many solutions via critical points for a fractional p Laplacian equation with perturbations

... study fractional Schrödinger equations in the literature [24–37]; for results on Schrödinger equations, we refer the reader to ...trivial solutions for (1) with λ = 1, μ = 0, where f is p-superlinear ... See full document

15

Infinitely Many Solutions for Perturbed Hemivariational Inequalities

Infinitely Many Solutions for Perturbed Hemivariational Inequalities

... of infinitely many solutions of a Neumann-type problem for an elliptic variational-hemivariational inequality, in this paper we treat a Dirichlet-type problem for an elliptic ... See full document

19

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

... infinitely many solutions for elliptic boundary value prob- lems without the symmetric functionals is an important topic in nonlinear analysis, hence there are a lot of papers focused on the ... See full document

23

Infinitely many solutions for fractional Laplacian problems with local growth conditions

Infinitely many solutions for fractional Laplacian problems with local growth conditions

... < p < + ∞ , N > s, ⊂ R N is an open bounded domain with smooth boundary, f (x, t) is a Carathéodory function defined on × (–δ, δ) for some δ > , and (–) s is known as the fractional ... See full document

9

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

... (2.22) Here we have α = β = 2.5, ξ = γ = 1/2, a(t) = t, f (u(t)) = u(t). By simple computation, we obtain 0 < L ≤ 1.7807, δ = 1/2. Choose L = 1 and δ = 1/2, the conditions (W 1) and (W 2) are satisfied. Hence, by ... See full document

11

A resonant boundary value problem for the fractional p Laplacian equation

A resonant boundary value problem for the fractional p Laplacian equation

... and fractional differential equations appear in various fields (see ...of fractional calculus theory and its applications, the initial and boundary value problems (BVPs for short) of ... See full document

10

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

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

... for t ∈ [, ]. Since f , g, h are continuous, the expression () and () are well defined. Clearly, the fixed point of the operator T is the solution of the problem ()-(). To show the existence and uniqueness ... See full document

16

Infinitely many solutions for nonlinear fractional boundary value problems via variational methods

Infinitely many solutions for nonlinear fractional boundary value problems via variational methods

... in many areas, including fluid flow, electrical net- works, probability and statistics, chemical physics and signal processing and so on; see [–] and the references ...been many papers dealing with the ... See full document

23

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

... know, boundary value problems of integer-order differential equations have been intensively studied; see 1–5 and ...of fractional calculus itself as well as its applications, fractional ... See full document

17

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

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

... But Mawhin’s continuation theorem is not suitable for quasi-linear operators. In [], Ge and Ren had extended Mawhin’s continuation theorem, which was used to deal with more general abstract operator equations. In [], ... See full document

13

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

... The paper is organized as follows. In Section 2, we briefly introduce some necessary basic knowledge and definitions about fractional calculus theory. In Section 3, we write (1.4) as an equivalent integral equation, ... See full document

12

Existence of positive solutions for p Laplacian impulsive boundary value problems on time scales

Existence of positive solutions for p Laplacian impulsive boundary value problems on time scales

... the impulsive boundary value problem with p-Laplacian on time scales except that in ...studied impulsive dynamic equations on time scales without p-Laplacian ... See full document

14

Existence criterion for the solutions of fractional order p-Laplacian boundary value problems

Existence criterion for the solutions of fractional order p-Laplacian boundary value problems

... definitions and results. For α > , choose n = [α] +  in the case α is not an integer and n = α in the case α is an integer. We recall the following definitions of a fractional order integral and a ... See full document

10

Positive solutions to fractional boundary-value problems with p-Laplacian on time scales

Positive solutions to fractional boundary-value problems with p-Laplacian on time scales

... positive solutions for ...conformable fractional calculus and give some lemmas with respect to the corresponding Green’s ...for boundary- value problem ... See full document

15

Existence of solutions for discrete fractional boundary value problems with a p Laplacian operator

Existence of solutions for discrete fractional boundary value problems with a p Laplacian operator

... The remainder of this paper is organized as follows. Section  preliminarily provides some necessary background material for the theory of discrete fractional calculus. In Sec- tion , the main existence result ... See full document

10

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

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

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

11

Solvability of Neumann boundary value problem for fractional p Laplacian equation

Solvability of Neumann boundary value problem for fractional p Laplacian equation

... The fractional calculus is a generalization of the ordinary differentiation and integra- tion on an arbitrary order that can be ...noninteger. Fractional differential equations appear in a number of fields ... See full document

10

Positive solutions to boundary value problems of p-Laplacian with fractional derivative

Positive solutions to boundary value problems of p-Laplacian with fractional derivative

... conformable fractional calculus and give some lemmas with respect to the corresponding Green’s ...the boundary value problem ...positive solutions is ... See full document

15

Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem

Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem

... and Hölder’s inequality, the authors showed the existence of countably many positive so- lutions. The other related results can be found in [–]. However, there are almost no papers considering second-order ... See full document

12

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