$Existence and uniqueness of mild solution of time-fractional semilinear differential equations with a nonlocal final condition$

Existence and uniqueness of mild solution of time-fractional semilinear differential equations with a nonlocal final condition

In this paper, we investigate a time-fractional semilinear differential equation with final nonlocal condition u(x,T)−(Gu)(x)=∑j=1mϑju(x,tj). Under some assumptions, we establish the existence and uniqueness of a mild solution in some suitable spaces of continuous functions. The results are based on...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2019-09, Vol.78 (5), p.1651-1668
Hauptverfasser:	Tuan, Nguyen Huy, Ngoc, Tran Bao, Huynh, Le Nhat, Kirane, Mokhtar
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuity (mathematics) Differential equations Fixed point theory Fixed points (mathematics) Fractional diffusion equation Nonlocal problem Uniqueness
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