[PDF] Top 20 Some results on the eigenvalue problem for a fractional elliptic equation
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Some results on the eigenvalue problem for a fractional elliptic equation
... tion. When L = –, the above formula reduces to (2.1). Moreover, they proved that the fractional operators (2.2) can be described as Dirichlet-to-Neumann maps for an exten- sion problem in the spirit of [6], ... See full document
11
Existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations
... It is well known that the cone plays a very important ... role in applying the Green function in research area. In [7], the authors cannot acquire a positive constant taken instead of the role of positive function g(s) ... See full document
8
A Class of --Laplacian Type Equation with Potentials Eigenvalue Problem in
... results about it we can see 14–18. Because of the unboundedness of the domain, the Sobolev compact embedding does not hold. There are many methods to overcome the difficulty. In 15, the authors used the ... See full document
19
Positivity of the infimum eigenvalue for equations of p(x)-Laplace type in RN
... thors in [] obtained the positivity of the infimum of all eigenvalues for the p(x)-Laplacian type subject to the Dirichlet boundary condition. As far as the authors know, there are no results concerned with the ... See full document
12
Some eigenvalue results for perturbations of maximal monotone operators
... value problem (IE) with normalized conditions based on the Browder degree ...an eigenvalue result for problem (E) as a special case of ...with eigenvalue problem (E) for densely defined ... See full document
15
Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... In recent years, many people pay attention to the fractional Laplacian. One of the reasons for this comes from the fact that this operator naturally arises in several phenomena like flames propagation and ... See full document
8
Singular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter
... Riemann-Liouville fractional derivative, λ is a positive constant, f (t, x) may change sign and be singular at t = 0, t = 1, and x = ...the eigenvalue intervals of the nonlinear fractional functional ... See full document
18
Analytical Solutions of Some Two Point Non Linear Elliptic Boundary Value Problems
... value problem (TPBVP) (Bratu’s equation, Troesch’s problems) occurs engineering and science, including the modeling of chemical reactions diffusion processes and heat ...analytical results were found ... See full document
15
Topological arguments for an elliptic equation involving the fractional Laplacian
... main results of this ...the problem, there are critical points at infinity whose topological contribution can be computed; see ...remains some difference of topology which is not due to the critical ... See full document
17
Well posedness of a fractional porous medium equation on an evolving surface
... the fractional Laplace–Beltrami operator which can be seen as the Dirichlet-to-Neumann map of a harmonic extension ...extension problem will also be examined and convergence results to the solution ... See full document
39
Eigenvalue problem for fractional differential operator containing left and right fractional derivatives
... with some boundary value conditions plays an important role in the study of the existence of solutions of nonlinear perturbations of this ...differential equation of the ... See full document
12
Eigenvalue problems for a quasilinear elliptic equation on ℝN
... The functional I is even and bounded below on G. Since the critical points of I (u) on G are solutions of problem (1.1)-(1.2) for certain value of λ, to continue the procedure, it is necessary to prove that I(u) ... See full document
12
Inverse problem for a time fractional parabolic equation
... differential equation governed by master equations containing fractional derivatives in time [, ...of fractional differ- ential equations range from theoretical to applied ...inverse problem ... See full document
9
Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions
... with some existence results for a boundary value problem involving a nonlinear integrodi ff erential equation of fractional order q ∈ 1, 2 with integral boundary ...Our results ... See full document
11
A new fractional Jacobi elliptic equation method for solving fractional partial differential equations
... new fractional Jacobi elliptic equation method to seek exact solutions of fractional partial differential ...certain fractional partial differential equation can be turned into ... See full document
11
Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces
... of fractional differential equations has been subjected to an intensive devel- opment of the theory and the applications (see, for example, [–] and the references ...on fractional calculus are de- voted to ... See full document
8
Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations
... nonlinear fractional partial differential equations by combining them with the so-called homotopy perturbation method ...solve some nonlinear fractional equations as: nonlinear time-fractional ... See full document
14
An initial boundary value problem arising in cell population growth modelling : a thesis submitted in partial fulfillment of the requirement for the degree of Master of Science in Mathematics at Massey University, (Manawatu) Institute of Fundamental Sciences, Mathematics
... fragmentation equation, it is known that there is an associated eigenvalue problem and that, for arbitrary initial data, the solution is asymptotic to the eigenfunc- tion as t → ∞ ...The ... See full document
60
Boundary Value Problem of Fractional Differential Equation
... ordinary equation to arbitrary non-integer order, and have received more and more interest due to their wide applications in various branch of science & engineering, such as physics, chemistry, biophysics, ... See full document
6
Some existence results on boundary value problems for fractional p-Laplacian equation at resonance
... contains some definitions, lem- mas and notations. In Section , some related lemmas are stated and proved which are useful in the proof of our main ... See full document
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