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2018•TURKISH JOURNAL OF MATHEMATICSOpen access

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

Tuğba Akman, Neda Khodabakhshi, Dumitru Bǎleanu

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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.

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What this paper is about

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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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Uniqueness, Order (exchange), Extension (predicate logic), Boundary value problem, Fractional calculus, Mathematical analysis, Applied mathematics

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