Resonant Integral Boundary Value Problems for Caputo Fractional Differential Equations
Joint Authors
Meng, Shuman
Ma, Wenjie
Cui, Yujun
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with the following Caputo fractional differential equations with Riemann-Stieltjes integral boundary conditions Dc0+αut=ft,ut,u′t,u′′t, t∈0,1, u0=u′′0=0, u1=∫01utdAt, where Dc0+α denotes the standard Caputo derivative, α∈(2,3]; ∫01x(t)dA(t) denotes the Riemann-Stieltjes integrals of x with respect to A.
By mean of coincidence degree theory, we obtain the existence of solutions for the above fractional BVP at resonance.
In the end, according to the main results, we give a typical example.
American Psychological Association (APA)
Ma, Wenjie& Meng, Shuman& Cui, Yujun. 2018. Resonant Integral Boundary Value Problems for Caputo Fractional Differential Equations. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1207957
Modern Language Association (MLA)
Ma, Wenjie…[et al.]. Resonant Integral Boundary Value Problems for Caputo Fractional Differential Equations. Mathematical Problems in Engineering No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1207957
American Medical Association (AMA)
Ma, Wenjie& Meng, Shuman& Cui, Yujun. Resonant Integral Boundary Value Problems for Caputo Fractional Differential Equations. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1207957
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207957