Existence of pseudosolutions for dynamic fractional differential equations

In this article, we consider the existence of pseudosolutions for boundary value problem for fractional differential equations of the form TC Δ ^ α x(t)=f(t,x(t)), for t ∈ Iₐ=[0,a] ∩ T, x(0)=x₀, x₀ ∈ E, where \({}_T^C Δ ^ α x(t)\), \(α ∈ (0,1]\) 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 conditions expressed in terms of measures of weak non-compactness. For more information see https://ejde.math.txstate.edu/Volumes/2024/36/abstr.html