Ugurlu, EkinMatematik2024-04-302024-04-302022Uğurlu, Ekin. (2022). "On some fractional operators generated from Abel’s formula", Turkish Journal of Mathematics, Vol.46, pp.1-23.1300-00981303-6149https://doi.org/10.3906/mat-2010-53This work aims to share some fractional integrals and derivatives containing three real parameters. The main tool to introduce such operators is the corresponding Abel's equation. Solvability conditions for the Abel's equations are shared. Semigroup property for fractional integrals are introduced. Integration by parts rule is given. Moreover, mean value theorems and related results are shared. At the end of the paper, some directions for some fractional operators are given.eninfo:eu-repo/semantics/closedAccessFractional IntegralsFractional DerivativesMean Value TheoremsArticle46112310.3906/mat-2010-532-s2.0-85123575371WOS:000737001800001534118Q2Q2