Existence results for fractional order semilinear functional differential equations with nondense domain

2010 ◽  
Vol 72 (2) ◽  
pp. 925-932 ◽  
Author(s):  
Mohammed Belmekki ◽  
Mouffak Benchohra
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Functional Differential Equations ◽  
Existence Results ◽  
Functional Differential

scholarly journals Existence of Positive Solutions for a Functional Fractional Boundary Value Problem

2010 ◽  
Vol 2010 ◽  
pp. 1-13 ◽  
Author(s):  
Chuanzhi Bai
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Fractional Order ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Existence Results ◽  
Fractional Boundary Value Problem ◽  
Existence Of Positive Solutions ◽  
Functional Differential

We study the existence of positive solutions for a boundary value problem of fractional-order functional differential equations. Several new existence results are obtained.

Solutions to fractional functional differential equations with nonlocal conditions

2014 ◽  
Vol 17 (3) ◽  
Author(s):  
Shruti Dubey ◽  
Madhukant Sharma
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Functional Differential Equations ◽  
Nonlocal Conditions ◽  
Classical Solutions ◽  
Operator Family ◽  
Order Partial Differential Equation ◽  
Lipschitz Continuous ◽  
Nonlinear Part ◽  
Functional Differential

AbstractIn this paper, we discuss the solutions to nonlocal initial value problems of fractional order functional differential equations in a Banach space. In particular, we prove the existence and uniqueness of mild and classical solutions assuming that −A generates a resolvent operator family and nonlinear part is a Lipschitz continuous function. We also investigate the global existence of the solution. At the end, a fractional order partial differential equation is given to illustrate the obtained abstract results.

scholarly journals Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions

2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
Meili Li ◽  
Chunhai Kou
Keyword(s):  
Differential Equations ◽  
Mild Solutions ◽  
Functional Differential Equations ◽  
Nonlocal Conditions ◽  
Fractional Power ◽  
Existence Results ◽  
Second Order ◽  
Neutral Functional Differential Equations ◽  
Functional Differential ◽  
Fractional Power Of Operators

The existence of mild solutions for second-order impulsive semilinear neutral functional differential equations with nonlocal conditions in Banach spaces is investigated. The results are obtained by using fractional power of operators and Sadovskii's fixed point theorem.

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