Impulsive fractional differential equations in Banach spaces

Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces

“…This result relies on the set-valued analog of Mönch's fixed point theorem combined with the technique of measure of noncompactness. Recently, this has proved to be a valuable tool in studying fractional differential equations and inclusions in Banach spaces; for additional details, see the papers of Laosta et al [20], Agarwal et al [1], and Benchohra et al [7,8,9]. Our results here extend to the multivalued case some previous results in the literature and constitutes what we hope is an interesting contribution to this emerging field.…”

On the concept of general solution for impulsive differential equations of fractional-orderq∈ (2,3)

“…There have appeared many papers focused on the subject of impulsive differential equations with Caputo fractional derivative [20][21][22][23][24][25][26][27][28][29][30][31].…”

The general solution of impulsive systems with Riemann-Liouville fractional derivatives

“…Moreover, in case of impulsive differential equations with Caputo fractional derivative there have been numerous works about the subject [15][16][17][18][19][20][21][22][23], and impulsive fractional partial differential equations are widely considered in [24][25][26][27][28][29].…”