New Sequential Fractional Differential Equations with Mixed-Type Boundary Conditions
Joint Authors
Li, Yaohong
Zhang, Haiyan
Yang, Jingbao
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we introduce new sequential fractional differential equations with mixed-type boundary conditions CDq+kCDq−1ut=ft,ut,CDq−1ut,t∈0,1,α1u0+β1u1+γ1Iruη=ε1,η∈0,1,α2u′0+β2u′1+γ2Iru′η=ε2, where q∈1,2 is a real number, k,r>0,αi,βi,γi,εi∈ℝ,i=1,2,CDq is the Caputo fractional derivative, and the boundary conditions include antiperiodic and Riemann-Liouville fractional integral boundary value cases.
Our approach to treat the above problem is based upon standard tools of fixed point theory and some new inequalities of norm form.
Some existence results are obtained and well illustrated through the aid of examples.
American Psychological Association (APA)
Zhang, Haiyan& Li, Yaohong& Yang, Jingbao. 2020. New Sequential Fractional Differential Equations with Mixed-Type Boundary Conditions. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185719
Modern Language Association (MLA)
Zhang, Haiyan…[et al.]. New Sequential Fractional Differential Equations with Mixed-Type Boundary Conditions. Journal of Function Spaces No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1185719
American Medical Association (AMA)
Zhang, Haiyan& Li, Yaohong& Yang, Jingbao. New Sequential Fractional Differential Equations with Mixed-Type Boundary Conditions. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185719
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185719