Analysis of mixed-order Caputo fractional system with nonlocal integral boundary condition | Zendy

Tuğba Akman | Zendy; Neda Khodabakhshi | Zendy; Dumitru Băleanu | Zendy

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Analysis of mixed-order Caputo fractional system with nonlocal integral boundary condition

Author(s) -

Tuğba Akman,

Neda Khodabakhshi,

Dumitru Băleanu

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1709-71

Subject(s) - mathematics , uniqueness , order (exchange) , extension (predicate logic) , boundary value problem , fractional calculus , mathematical analysis , boundary (topology) , fixed point theorem , finance , computer science , economics , programming language

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.

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