Eigenvalue problems of fractional q-difference equations with generalized p-Laplacian
نویسندگان
چکیده
منابع مشابه
Eigenvalue of Fractional Differential Equations with p-Laplacian Operator
Differential equations of fractional order have been recently proved to be valuable tools in the modeling of many phenomena arising from science and engineering, such as viscoelasticity, electrochemistry, control, porous media, and electromagnetism. For detail, see the monographs of Kilbas et al. [1],Miller and Ross [2], and Podlubny [3] and the papers [4–23] and the references therein. In [16]...
متن کاملExistence and uniqueness results for q-fractional difference equations with p-Laplacian operators
In this paper, we consider the following two-point boundary value problem for q-fractional p-Laplace difference equations. New results on the existence and uniqueness of solutions for q-fractional boundary value problem are obtained. These results extend the corresponding ones of ordinary differential equations of integer order. Finally, an example is presented to illustrate the validity and pr...
متن کاملEIGENVALUE PROBLEMS WITH p-LAPLACIAN OPERATORS
In this article, we study eigenvalue problems with the p-Laplacian operator: −(|y′|p−2y′)′ = (p− 1)(λρ(x)− q(x))|y|p−2y on (0, πp), where p > 1 and πp ≡ 2π/(p sin(π/p)). We show that if ρ ≡ 1 and q is singlewell with transition point a = πp/2, then the second Neumann eigenvalue is greater than or equal to the first Dirichlet eigenvalue; the equality holds if and only if q is constant. The same ...
متن کاملPositive solutions to a class of q-fractional difference boundary value problems with φ-Laplacian operator
By virtue of the upper and lower solutions method, as well as the Schauder fixed point theorem, the existence of positive solutions to a class of q-fractional difference boundary value problems with φ-Laplacian operator is investigated. The conclusions here extend existing results. c ©2016 All rights reserved.
متن کاملPositive Solution for Fractional q-Difference Boundary Value Problems with φ -Laplacian Operator
In this paper, we investigate the existence of at least one positive solution for a class of fractional q-difference boundary value problems with φ -Laplacian operator. The arguments mainly rely on the upper and lower solutions method as well as the Schauder’s fixed point theorem. Nonlinear term may be singular at t = 0,1 or u = 0. Furthermore, two examples are presented to illustrate the main ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2016
ISSN: 0893-9659
DOI: 10.1016/j.aml.2016.01.003