Existence of Positive Solutions for m‐Point Boundary Value Problem for Nonlinear Fractional Differential Equation | Zendy

Moustafa El-Shahed | Zendy; Wafa Shammakh | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Existence of Positive Solutions for m‐Point Boundary Value Problem for Nonlinear Fractional Differential Equation

Author(s) -

Moustafa El-Shahed,

Wafa Shammakh

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/986575

Subject(s) - mathematics , boundary value problem , fixed point theorem , mathematical analysis , nonlinear system , norm (philosophy) , cone (formal languages) , green's function , fixed point index , differential equation , initial value problem , function (biology) , physics , algorithm , quantum mechanics , evolutionary biology , political science , law , biology

We investigate an m-point boundary value problem for nonlinear fractional differential equations. The associated Green function for the boundary value problem is given at first, and some useful properties of the Green function are obtained. By using the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed point theorem, the existence of multiple positive solutions is obtained

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research