Analysis of Mixed-Order Caputo Fractional System With Nonlocal Integral Boundary Condition
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Tubitak Scientific & Technological Research Council Turkey
Open Access Color
GOLD
Green Open Access
No
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No
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Abstract
This paper deals with a mixed-order Caputo fractional system with nonlocal integral boundary conditions. This study can be considered as an extension of previous studies, since the orders of the equations lie on different intervals. We discuss the existence and uniqueness of the solution using fixed point methods. We enrich the study with an example.
Description
Akman, Tugba/0000-0003-1206-2287
ORCID
Keywords
Caputo Derivative, Coupled System, Boundary Conditions, Existence And Uniqueness, Fixed Point Theorem, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, boundary conditions, fixed point theorem, Fractional ordinary differential equations, Nonlocal and multipoint boundary value problems for ordinary differential equations, Caputo derivative, coupled system, existence and uniqueness
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Akman Yildiz, Tugba; Khodabakhshi, Neda; Baleanu, Dumitru, "Analysis of mixed-order Caputo fractional system with nonlocal integral boundary condition", Turkish Journal Of Mathematics, Vol. 42, No. 3, pp. 1328-1337, (2018).
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
N/A
Source
TURKISH JOURNAL OF MATHEMATICS
Volume
42
Issue
3
Start Page
1328
End Page
1337
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