Existence and multiplicity of solutions for fractional differential equations with parameters

2015 ◽  
Vol 51 (1-2) ◽  
pp. 109-125
Author(s):  
Rian Yan ◽  
Shurong Sun ◽  
Ying Sun
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
Fractional Differential

scholarly journals Positive Solutions for Nonlinear Fractional Differential Equations with Boundary Conditions Involving Riemann-Stieltjes Integrals

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Jiqiang Jiang ◽  
Lishan Liu ◽  
Yonghong Wu
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Fixed Point Theorems ◽  
Integral Boundary ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Existence Of Positive Solutions ◽  
Fractional Differential ◽  
Integral Boundary Value Problems

We consider the existence of positive solutions for a class of nonlinear integral boundary value problems for fractional differential equations. By using some fixed point theorems, the existence and multiplicity results of positive solutions are obtained. The results obtained in this paper improve and generalize some well-known results.

On the Existence and Multiplicity of Solutions for Dirichlet’s problem for Fractional Differential equations

2016 ◽  
Vol 19 (1) ◽  
Author(s):  
Diego Averna ◽  
Stepan Tersian ◽  
Elisabetta Tornatore
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Derivatives ◽  
Boundary Value ◽  
Caputo Fractional Derivatives ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
Nonnegative Solutions ◽  
Fractional Differential ◽  
Dirichlet’S Problem

AbstractIn this paper, by using variational methods and critical point theorems, we prove the existence and multiplicity of solutions for boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. Our results extend the second order boundary value problem to the non integer case. Moreover, some conditions to determinate nonnegative solutions are presented and examples are given to illustrate our results.

Multiple solutions to boundary value problem for impulsive fractional differential equations

2014 ◽  
Vol 17 (4) ◽  
Author(s):  
Rosana Rodríguez-López ◽  
Stepan Tersian
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Weak Solutions ◽  
Multiple Solutions ◽  
Boundary Value ◽  
Three Solutions ◽  
Multiplicity Of Solutions ◽  
Impulsive Fractional Differential Equations ◽  
Fractional Differential

AbstractWe study the multiplicity of solutions for fractional differential equations subject to boundary value conditions and impulses. After introducing the notions of classical and weak solutions, we prove the existence of at least three solutions to the impulsive problem considered.

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