On a final value problem for fractional reaction‐diffusion equation with Riemann‐Liouville fractional derivative
Sign Up to like & getrecommendations! 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
Final value problem governed by a class of time‐space fractional pseudo‐parabolic equations with weak nonlinearities
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.9866
Abstract: We study the final value problem involving a class of semilinear fractional pseudo‐parabolic equations, where the nonlinearity probably takes values in fractional Sobolev spaces. By establishing some estimates for resolvent operators and employing the embedding… read more here.
Keywords: pseudo parabolic; problem; value problem; final value ... See more keywords
Final Value Problem for Parabolic Equation with Fractional Laplacian and Kirchhoff’s Term
Sign Up to like & getrecommendations! 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