scholarly journals Twin solutions to semipositone boundary value problems for fractional differential equations with coupled integral boundary conditions

2017 ◽  
Vol 10 (07) ◽  
pp. 3544-3565 ◽  
Author(s):  
Daliang Zhao ◽  
Yansheng Liu
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Coupled Integral Boundary Conditions ◽  
Fractional Differential

A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations

2014 ◽  
Vol 17 (2) ◽  
Author(s):  
Bashir Ahmad ◽  
Sotiris Ntouyas
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
Coupled System ◽  
Uniqueness Of Solutions ◽  
Integral Boundary ◽  
Type Integral ◽  
Fractional Differential

AbstractThis paper is concerned with the existence and uniqueness of solutions for a coupled system of Hadamard type fractional differential equations and integral boundary conditions. We emphasize that much work on fractional boundary value problems involves either Riemann-Liouville or Caputo type fractional differential equations. In the present work, we have considered a new problem which deals with a system of Hadamard differential equations and Hadamard type integral boundary conditions. The existence of solutions is derived from Leray-Schauder’s alternative, whereas the uniqueness of solution is established by Banach’s contraction principle. An illustrative example is also included.

On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions

2015 ◽  
Vol 18 (2) ◽  
Author(s):  
Johnny Henderson ◽  
Rodica Luca ◽  
Alexandru Tudorache
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Existence And Multiplicity ◽  
Coupled Integral Boundary Conditions ◽  
Fractional Differential ◽  
Multiplicity Of Positive Solutions

AbstractWe investigate the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to coupled integral boundary conditions. The nonsingular and singular cases are studied.

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