Articles with "final value" as a keyword



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On a final value problem for fractional reaction‐diffusion equation with Riemann‐Liouville fractional derivative

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Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6103

Abstract: In this paper, we study a backward problem for a fractional diffusion equation with nonlinear source in a bounded domain. By applying the properties of Mittag‐Leffler functions and Banach fixed point theorem, we establish some… read more here.

Keywords: problem fractional; diffusion equation; problem; final value ... See more keywords
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Final Value Problem for Parabolic Equation with Fractional Laplacian and Kirchhoff’s Term

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Published in 2021 at "Journal of Function Spaces"

DOI: 10.1155/2021/7238678

Abstract: In this paper, we study a diffusion equation of the Kirchhoff type with a conformable fractional derivative. The global existence and uniqueness of mild solutions are established. Some regularity results for the mild solution are… read more here.

Keywords: problem parabolic; kirchhoff; value problem; solution ... See more keywords