On a nonlocal problem for parabolic equation with time dependent coefficients

This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biology. The first part of this paper is to consider the well-po...

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Veröffentlicht in:	Advances in difference equations 2021-04, Vol.2021 (1), p.1-12, Article 209
Hauptverfasser:	Phuong, Nguyen Duc, Binh, Ho Duy, Long, Le Dinh, Yen, Dang Van
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Conformable derivative Difference and Functional Equations Existence and regularity Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations Fixed points (mathematics) Functional Analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Parabolic equation Partial Differential Equations
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Beschreibung
Zusammenfassung:	This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biology. The first part of this paper is to consider the well-posedness and regularity of the mild solution. The second one is to investigate the existence by using Banach fixed point theory.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03370-4