Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions
نویسندگان
چکیده
منابع مشابه
Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions
In this paper, the existence and multiplicity of positive solutions to singular fractional differential system is investigated. Sufficient conditions which guarantee the existence of positive solutions are obtained, by using a well known fixed point theorem. An example is added to illustrate the results.
متن کاملPositive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters
Through the application of the upper-lower solutions method and the fixed point theorem on cone, under certain conditions, we obtain that there exist appropriate regions of parameters in which the fractional differential equation has at least one or no positive solution. In the end, an example is worked out to illustrate our main results. c ©2016 All rights reserved.
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 کاملPositive Solutions for Nonlinear Fractional Differential Equations with Boundary Conditions Involving Riemann-Stieltjes Integrals
and Applied Analysis 3 Inspired by the work of the above papers, the aim of this paper is to establish the existence and multiplicity of positive solutions of the BVP 1.1 . We discuss the boundary value problemwith the Riemann-Stieltjes integral boundary conditions, that is, the BVP 1.1 , which includes fractional order two-point, three-point, multipoint, and nonlocal boundary value problems as...
متن کاملUniqueness 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 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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2012
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2012.1.43