Multiplicity Results to a Conformable Fractional Differential Equations Involving Integral Boundary Condition

In this article, by using topological degree theory couple with the method of lower and upper solutions, we study the existence of at least three solutions to Riemann-Stieltjes integral initial value problem of the type Dαx(t)=f(t,x), t∈[0,1], x(0)=∫01x(t)dA(t), where Dαx(t) is the standard conforma...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2019-01, Vol.2019 (2019), p.1-8
Main Authors: Meng, Shuman, Cui, Yujun
Format: Article
Language:English
Subjects:
Applied mathematics
Boundary conditions
Boundary value problems
Differential equations
Electrochemical reactions
Fixed points (mathematics)
Integral equations
Operators (mathematics)
Stieltjes integral
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Summary:In this article, by using topological degree theory couple with the method of lower and upper solutions, we study the existence of at least three solutions to Riemann-Stieltjes integral initial value problem of the type Dαx(t)=f(t,x), t∈[0,1], x(0)=∫01x(t)dA(t), where Dαx(t) is the standard conformable fractional derivative of order α, 0
ISSN:1076-2787
1099-0526
DOI:10.1155/2019/8402347