Constructive Existence of Solutions of Multi-point Boundary Value Problem for Hilfer Fractional Differential Equation at Resonance

2020 ◽  
Vol 17 (3) ◽  
Author(s):  
Yong Do Ri ◽  
Hui Chol Choi ◽  
Kyong Jun Chang
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equation ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Point Boundary ◽  
At Resonance ◽  
Fractional Differential

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 Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives

2016 ◽  
Vol 3 (1) ◽  
Author(s):  
Yuji Liu
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equation ◽  
Boundary Value ◽  
Resonance Case ◽  
Liouville Type ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
At Resonance ◽  
Fractional Differential

AbstractIn this article, we present a new method for converting the boundary value problems for impulsive fractional differential systems involved with the Riemann-Liouville type derivatives to integral systems, some existence results for solutions of a class of boundary value problems for nonlinear impulsive fractional differential systems at resonance case and non-resonance case are established respectively. Our analysis relies on the well known Schauder’s fixed point theorem and coincidence degree theory. Examples are given to illustrate main results. This paper is motivated by [Solvability of multi-point boundary value problem of nonlinear impulsive fractional differential equation at resonance, Electron. J. Qual. Theory Differ. Equ. 89(2011), 1-19], [Existence result for boundary value problem of nonlinear impulsive fractional differential equation at resonance, J, Appl, Math, Comput. 39(2012) 421-443] and [Solvability for a coupled system of fractional differential equations with impulses at resonance, Bound. Value Probl. 2013, 2013: 80].

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.

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