id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-745	Sikorska-Nowak, Aneta	Existence of pseudosolutions for dynamic fractional differential equations	2024	9	.pdf	application/pdf	4217	273	75	In this article, we consider the existence of pseudosolutions for boundary value problem for fractional differential equations of the form C T ∆αx(t) = f(t, x(t)), for t ∈ Ia = [0, a] ∩ T, x(0) = x0, x0 ∈ E, where C T ∆αx(t), α ∈ (0, 1] denotes the Caputo fractional derivative, T denotes a time scale, and the function f is weakly-weakly sequentially continuous with values in a Banach space E and satisfies some boundary conditions and con- ditions expressed in terms of measures of weak non-compactness. In this paper, we consider the existence of a pseudosolution for the boundary value problem for fractional differential equations of the form C T∆ αx(t) = f(t, x(t)), for t ∈ Ia = [0, a] ∩ T, x(0) = x0, x0 ∈ E, (1.1) where C T∆ αx(t), α ∈ (0, 1] is the Caputo fractional derivative, T denotes a time scale.	cache/ejde-745.pdf	txt/ejde-745.txt