Positive solutions of singular fractional differential equations with integral boundary conditions
نویسندگان
چکیده
منابع مشابه
Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
The uniqueness of positive solution for a class of singular fractional differential system with integral boundary conditions is considered in this paper and many types of equation system are contained in this equation system because there are many parameters which can be changeable in this equation system. The fractional orders are involved in the nonlinearity of the boundary value problem and ...
متن کاملPositive solutions of p-Laplacian fractional differential equations with integral boundary value conditions
In this work, we investigate the existence of solutions of p-Laplacian fractional differential equations with integral boundary value conditions. Using the five functionals fixed point theorem, the existence of multiple positive solutions is obtained for the boundary value problems. An example is also given to illustrate the effectiveness of our main result. c ©2016 All rights reserved.
متن کاملPositive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions
By employing upper and lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo-C3 0, 1 as well as C2 0, 1 positive solutions for fourth-order singular p-Laplacian differential equations with integral boundary conditions. Our nonlinearity f may be singular at t 0, t 1, and u 0. The dual results for the other integral b...
متن کاملPositive solutions for singular coupled integral boundary value problems of nonlinear Hadamard fractional differential equations
In this paper, we study the existence of positive solutions for a class of coupled integral boundary value problems of nonlinear semipositone Hadamard fractional differential equations Du(t) + λf(t, u(t), v(t)) = 0, Dv(t) + λg(t, u(t), v(t)) = 0, t ∈ (1, e), λ > 0, u(1) = v(1) = 0, 0 ≤ j ≤ n− 2, u(e) = μ ∫ e 1 v(s) ds s , v(e) = ν ∫ e
متن کاملExistence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
In this article, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation are obtained. Based on these properties and through the fixed point index theory, the singular nonlinear fractional differential equations with Riemann–Stieltjes integral boundary conditions involving fractional deri...
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: Mathematical and Computer Modelling
سال: 2013
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2012.06.024