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Caputo delta weakly fractional difference equations

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Fractional Calculus and Applied Analysis, September (2022) .

Full text: http://dx.doi.org/10.1007/s13540-022-00093-5

Author-provided full text:
Post-print (final draft after peer review) - added by Marius Florin Danca

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Abstract

In this paper, solutions of fractional difference equations with Caputo-type delta-
based fractional difference operator of order μ ∼ 1 are compared with solutions of
corresponding difference equations with usual first-order forward difference. To de-
rive convergence results, Gronwall type inequalities are proved for suitable fractional
sum inequalities of general noninteger order. An illustrative example is also given.

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