A New Fractional Differential Approach: a Combination between Usual Derivative and a Fractional Differential Operator Without Singular Kernel

Authors

Gustavo Asumu Mboro Nchama, Department of Technical Sciences, National University of Equatorial Guinea, Malabo, Equatorial GuineaFollow
Leandro Daniel Lau Alfonso, Institute of Cybernetics, Mathematics and Physics, Street 15, No. 551, Vadado, Havana 4, C-P 10400, CubaFollow

Abstract

In this paper, authors introduce a new fractional differential order operator given as a combination between the usual derivative and a fractional differential operator without singular kernel. The new approach is defined through a fractional integral order and based on the Caputo viewpoint. Some properties are given to illustrate the results. Also calculus of integral of an interesting function is illustrated.

Recommended Citation

Asumu Mboro Nchama, Gustavo and Daniel Lau Alfonso, Leandro (2022) "A New Fractional Differential Approach: a Combination between Usual Derivative and a Fractional Differential Operator Without Singular Kernel," Information Sciences Letters: Vol. 11 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/17