On the Existence and Uniqueness of Solutions of Fractional Dynamic Equations On Time Scales

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Date

2022

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Yokohama Publ

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Abstract

The existence and uniqueness of solutions of Cauchy problem for a nonlinear Caputo fractional dynamic equation of arbitrary order alpha > 0 is studied. The problem is treated as a fixed point problem posed on a b-metric space. A numerical example is presented to support the theoretical results.

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Erhan, Inci M./0000-0001-6042-3695

Keywords

Time scale, Caputo fractional dynamic equation, fixed point, b-metric

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Volume

23

Issue

8

Start Page

1545

End Page

1558

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