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

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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… Click to show full 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.

Keywords: nonlocal integral; mixed order; order caputo; fractional system; caputo fractional; system nonlocal

Journal Title: Turkish Journal of Mathematics
Year Published: 2018

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