In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 < α < 2). In this way, we improve and generalize several earlier outcomes.
In this paper, we investigate the existence and uniqueness of solutions for the Darboux problem of partial differential equations with Caputo-Katugampola fractional derivative.
RESUMENEn este artículo investigamos la existencia y unicidad de soluciones para el problema de Darboux de ecuaciones diferenciales parciales con derivada fraccional de Caputo-Katugampola.
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