Abstract Cauchy problems for the generalized fractional calculus
نویسندگان
چکیده
We focus on eventually non-linear abstract Cauchy problems with a generalized fractional derivative in time. First we prove local existence and uniqueness result, then Grönwall inequality. Before addressing the inequality, study some properties of eigenvalues eigenfunctions derivatives. Finally, consequences
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2021
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2021.112339