The Existence of Solutions for Fractional Functional Differential Equations With Boundary Value Conditions

2011 ◽  
Author(s):  
Chunhai Kou ◽  
Huacheng Zhou ◽  
Sijia Wu
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Existence Results ◽  
Functional Differential ◽  
Fractional Functional Differential Equations ◽  
Fractional Functional

In this paper, we are concerned with the existence of solutions for a class of nonlinear fractional functional differential equations with boundary value conditions. Some existence results of solutions are obtained. Our analysis relies on some fixed point theorems. Finally, some examples are presented to illustrate the main results.

scholarly journals Existence Results for Semilinear Functional Differential System with Nonlocal Conditions

2018 ◽  
Vol 8 (10S) ◽  
pp. 237-241
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Point Theorems ◽  
Functional Differential Equations ◽  
Nonlocal Conditions ◽  
Sufficient Conditions ◽  
Existence Results ◽  
Abstract Space ◽  
Functional Differential ◽  
Functional Differential System

In this paper, sufficient conditions are given for the existence of partial functional differential equations with nonlocal conditions in an abstract space with the help of the fixed point theorems.

scholarly journals Initial and boundary value problems for partial functional differential equations

1997 ◽  
Vol 10 (2) ◽  
pp. 157-168
Author(s):  
S. K. Ntouyas ◽  
P. Ch. Tsamatos
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Partial Functional Differential Equations ◽  
Point Analysis ◽  
Functional Differential

In this paper we study the existence of solutions to initial and boundary value problems of partial functional differential equations via a fixed-point analysis approach. Using the topological transversality theorem we derive conditions under which an initial or a boundary value problem has a solution.

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