SERIES SOLUTION METHOD FOR CAUCHY PROBLEMS WITH FRACTIONAL Δ-DERIVATIVE ON TIME SCALES

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Date

2019

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Volume Title

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Element D.O.O.

Open Access Color

GOLD

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No

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Abstract

In this paper we introduce a series solution method for Cauchy problems associated with Caputo fractional delta derivatives on time scales with delta differentiable graininess function. We also apply the method to Cauchy problems associated with dynamic equations and present some illustrative examples. © The Author(s) 2019.

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Keywords

Caputo fractional delta derivative, dynamic equation, series solution, Time scale, Dynamic equations on time scales or measure chains, series solution, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., time scale, Fractional ordinary differential equations, Caputo fractional delta derivative, Cauchy problems, dynamic equation

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Fields of Science

0502 economics and business, 0103 physical sciences, 05 social sciences, 01 natural sciences

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Scopus Q

Q3
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Source

Fractional Differential Calculus

Volume

9

Issue

2

Start Page

243

End Page

261

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Scopus : 5

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5

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