Trace regularity for biharmonic evolution equations with Caputo derivatives

Fractional Calculus and Applied Analysis（2022）

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Abstract

Our goal is to establish a hidden regularity result for solutions of time fractional Petrovsky systems. The order α of the Caputo fractional derivative belongs to the interval (1, 2). We achieve such result for a suitable class of weak solutions.

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Key words

Caputo fractional derivative (primary),Fractional Petrovsky systems,Riemann–Liouville fractional integral,Hidden regularity

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