Mild solutions for impulsive integro-differential equations involving hilfer fractional derivative with almost sectorial operators

Kulandhaivel KarthikeyanPanjaiyan KarthikeyanNichaphat PatanarapeelertThanin Sitthiwirattham2025-03-102025-03-102021Axioms2075168010.3390/axioms100403132-s2.0-85120065160https://repository.dusit.ac.th//handle/123456789/4706In this manuscript, we establish the mild solutions for Hilfer fractional derivative integrodifferential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this evolution equations and obtain the existence results. In addition, an application is also considered. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open AccessAlmost sectorial operatorsHilfer fractional derivativeImpulsive conditionsMeasure of non-compactnessMild solutionsMild solutions for impulsive integro-differential equations involving hilfer fractional derivative with almost sectorial operatorsArticleScopus