Affiliation:
1. Faculty of Science, Zagazig University, Zagazig, Egypt
Abstract
The purpose of this paper is to give and prove the fundamental theorem of
conformable fractional calculus which is given only in previous associated
papers for differentiable functions, and then we scrutinize the existence
and uniqueness of solutions to some semilinear Cauchy problems for nonlocal
conformable fractional integrodifferential or differential equations which
their nonlinear terms include fractional derivative or fractional integral.
Two examples are investigated to elucidate the main results.
Publisher
National Library of Serbia
Reference30 articles.
1. T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math. 279, (2015), 57-66;
2. E. Abdel-Salam and M. Nouh, Conformable fractional polytropic gas spheres, New Astronomy 76 (2020) 101322;
3. F. M. Alharbi, D. Baleanu and A. Ebaid, Physical properties of the projectile motion using the conformable derivative, Chinese Journal of Physics 58 (2019) 18-28;
4. A. Atangana; Fractional Operators with Constant and Variable Order with Application to Geo-Hydrology, Elsevier Science Publishing Co Inc, doi.org/10.1016/C2015-0-05711-2, (2018);
5. A. Atangana, D. Baleanu, and A. Alsaedi, New properties of conformable derivative, Open Math (2015) 13: 889-898;
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