scholarly journals Existence of nonnegative solutions for a nonlinear fractional boundary value problem

2018 ◽  
Vol 1 (1) ◽  
pp. 56-80
Author(s):  
Assia Guezane-Lakoud ◽  
Kheireddine Belakroum
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equation ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Fractional Boundary Value Problem ◽  
Nonlinear Alternative ◽  
Nonnegative Solutions ◽  
Fractional Differential

AbstractThis paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative. Moreover, the existence of nonnegative solutions is discussed.

scholarly journals Existence of Solutions of Fractional Differential Equation withp-Laplacian Operator at Resonance

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Zhigang Hu ◽  
Wenbin Liu ◽  
Jiaying Liu
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Laplacian Operator ◽  
Fractional Boundary Value Problem ◽  
Mawhin’S Continuation Theorem ◽  
Laplacian Equation ◽  
At Resonance ◽  
Fractional Differential

By using the extension of Mawhin’s continuation theorem due to Ge, we consider boundary value problems for fractionalp-Laplacian equation. A new result on the existence of solutions for the fractional boundary value problem is obtained, which generalizes and enriches some known results to some extent from the literature.

scholarly journals Analysis of fractional boundary value problem with non local flux multi-point conditions on a Caputo fractional differential equation

2019 ◽  
Vol 64 (4) ◽  
pp. 511-527 ◽  
Author(s):  
Muthaiah Subramanian ◽  
◽  
A Ramamurthy Vidhya Kumar ◽  
Thangaraj Nandha Gopal ◽  
◽  
...  
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equation ◽  
Boundary Value ◽  
Fractional Boundary Value Problem ◽  
Non Local ◽  
Fractional Differential

PERIODIC BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATION

2012 ◽  
Vol 23 (10) ◽  
pp. 1250100 ◽  
Author(s):  
ZHIGANG HU ◽  
WENBIN LIU ◽  
WENJUAN RUI
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equation ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Periodic Boundary Value Problem ◽  
Fractional Differential

In this paper, by using the coincidence degree theory, we consider periodic boundary value problem for fractional differential equation. A new result on the existence of solutions for above fractional boundary value problem is obtained.

scholarly journals Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Jinhua Wang ◽  
Hongjun Xiang ◽  
Yuling Zhao
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equation ◽  
Boundary Value ◽  
Higher Order ◽  
Fractional Boundary Value Problem ◽  
Interesting Point ◽  
Nonlinear Fractional Differential Equation ◽  
Existence And Multiplicity ◽  
Fractional Differential

We consider boundary value problem for nonlinear fractional differential equationD0+αu(t)+f(t,u(t))=0,  0<t<1,  n-1<α≤n,  n>3,  u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, whereD0+αdenotes the Caputo fractional derivative. By using fixed point theorem, we obtain some new results for the existence and multiplicity of solutions to a higher-order fractional boundary value problem. The interesting point lies in the fact that the solutions here are positive, monotone, and concave.

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