[PDF] Top 20 Multiplicity of solutions for fractional Schrödinger equations with perturbation
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Multiplicity of solutions for fractional Schrödinger equations with perturbation
... Recently, a lot of attention has been focused on the study of fractional and non-local problems; see [–]. This may be due to its concrete applications in different fields, such as the thin obstacle problem, ... See full document
9
Infinitely many high energy solutions for fractional Schrödinger equations with magnetic field
... energy solutions and infinitely many solutions under suitable ...the multiplicity of solutions for a nonlinear fractional magnetic Schrödinger equation by using variational ... See full document
11
Positive solutions to boundary value problems of p-Laplacian with fractional derivative
... differential equations have been of great ...and multiplicity of solutions for boundary value problems of fractional differential equations with p-Laplacian by the use of techniques of ... See full document
15
Positive solutions of m-point multi-term fractional integral BVP involving time-delay for fractional differential equations
... and multiplicity of positive solutions to a class of higher-order delayed nonlinear fractional differential equations with m-point multi-term fractional integral boundary ... See full document
19
Existence of solutions for perturbed fractional equations with two competing weighted nonlinear terms
... where 2 < q < r, and f and h are nonnegative weights. They first proved that the existence and multiplicity of solutions depend both on λ and the integrability of a certain ratio of f to h. Related ... See full document
16
On positive solutions for a class of singular nonlinear fractional differential equations
... decades, fractional-order models are found to be more adequate than integer-order models for some real world ...and multiplicity of solutions (or positive so- lutions) of nonlinear initial ... See full document
11
Existence and multiplicity of positive solutions for singular fractional differential equations with integral boundary value conditions
... the multiplicity of positive solutions with two integral boundary conditions and a nonlinear term f possessing a sin- gularity at u = ...the multiplicity of positive solutions for singular ... See full document
14
Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions
... of fractional differential equations is accompanied by fractional calcu- lus; see ...of fractional calculus in the fields of physical, bio- logical, heat conduction, chemical physics, economics, ... See full document
19
Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms
... many solutions; see ...nonnegative solutions to critical Kirch- hoff ...[], fractional p-Kirchhoff equations was ...sign-changing solutions to Kirchhoff problems are also ...sign-changing ... See full document
13
Existence and multiplicity of positive solutions for a system of fractional boundary value problems
... the fractional cal- culus theory and some auxiliary results dealing with a nonlocal boundary value problem for fractional differential ...and multiplicity results for positive solutions with ... See full document
17
Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity
... of solutions of equation ...sign-changing solutions, ground state solutions, radially symmetric solutions, multiplicity of standing wave solutions, and so on, see [9, ... See full document
15
Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
... nonlinear fractional differen- tial equations (FDEs), such that both equations have a particular perturbed ...and multiplicity of positive solutions for this ... See full document
16
Multiplicity for fractional differential equations with p-Laplacian
... This paper investigates the existence of positive solution for a boundary value problem of fractional differential equations with p-Laplacian operator. Our analysis relies on the research of properties of ... See full document
14
Existence and multiplicity of solutions for fractional Hamiltonian systems
... that fractional differential equations have many applications in science and engineering ...tions, fractional differential equations can more effectively and accurately simulate various natural ... See full document
17
Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff type equations involving the fractional p Laplacian
... of solutions of a nonlocal problem driven by the fractional p-Laplace ...of solutions and in the multiplicity properties of the ...of solutions as the positive parameters converge to ... See full document
19
Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains
... the Schrödinger equation, which describes quantum particles interacting with the electromagnetic field generated by the ...of Schrödinger equations is the case where the potential φ(x) is determined ... See full document
12
Anti-periodic boundary value problems involving nonlinear fractional q-difference equations
... nonlinear fractional q-difference equations have aroused considerable ...and multiplicity of solutions or positive solutions for boundary value problems of nonlinear fractional ... See full document
8
Multiplicity of positive solutions for Sturm-Liouville boundary value problems of fractional differential equations with p-Laplacian
... of fractional differential equation with p- Laplacian have been studied in many literature, only few papers can be found in the lit- erature on the existence of multiple positive solutions for the ... See full document
17
Energy solutions and concentration problem of fractional Schrödinger equation
... processes. Fractional differential equations provides a powerful tool for the research of many fields such as engineering, science, electrical cir- cuits, diffusion, and applied mathematics; see [7–10] and so ... See full document
18
Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions
... Hence fractional differ- ential equations have attracted great research interest in recent years, and for more de- tails we refer the reader to [–] and the references cited ...and multiplicity of ... See full document
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