References
- Grinko AP. Localized derivatives in spaces of functions representable by localized fractional integrals. Integral Transforms Spec Funct. 2019;30(10):817–832.
- Samko SG, Kilbas AA, Marichev OI. Integrals and derivatives of the fractional order and their some applications. Minsk: Nauka i Tekhnika; 1987. Russian.
- Kolwankar KM, Gangal AD. Fractional differentiability of nowhere differentiable functions and dimensions. Chaos. 1996;6:505–513.
- Khalil R, Horani MA, Yousef A, et al. A new definition of fractional derivative. J Comput Appl Math. 2014;264:65–70.
- Guebbai H, Ghiat M. New conformable fractional derivative definition for positive and increasing functions and its generalization. Adv Dyn Syst Appl. 2016;11(2):105–111.
- Camrud E. The conformable ratio derivative. Rose-Hulman Undergraduate Math J. 2016;17(2):Article ID 10.
- Grinko AP. Composition properties of operators of local fractional integro-differentiation calculated in various points. Tr Inst Mat. 2009;17(1):41–50. Russian.
- Grinko AP. Generalized Abel type integral equations with localized fractional integrals and derivatives. Integral Transforms Spec Funct. 2018;29(6):489–504.
- Grinko AP. Localized fractional derivative of Djrbashian-Caputo type. Integral Transforms Spec Funct. doi:https://doi.org/10.1080/10652469.2021.1877288
- Erdelyi A, Magnus W, Oberhettinger F, et al. Higher transcendental functions. New York: McGraw-Hill Book Co. Reprinted Krieger, Melbourne, Florida; 1981;1.