#5726. Positive solutions and stability of fuzzy Atangana-Baleanu variable fractional differential equation model for a novel coronavirus (COVID-19)

August 2026publication date
Proposal available till 29-05-2025
4 total number of authors per manuscript0 $

The title of the journal is available only for the authors who have already paid for
Journal’s subject area:
Applied Mathematics;
Computational Mathematics;
Numerical Analysis;
Engineering (all);
Theoretical Computer Science;
Computational Theory and Mathematics;
Software;
Places in the authors’ list:
place 1place 2place 3place 4
FreeFreeFreeFree
2350 $1200 $1050 $900 $
Contract №5726.1 Contract №5726.2 Contract №5726.3 Contract №5726.4
1 place - free (for sale)
2 place - free (for sale)
3 place - free (for sale)
4 place - free (for sale)

Abstract:
This work provides a new fuzzy variable fractional COVID-19 model and uses a variable fractional operator, namely, the fuzzy variable Atangana-Baleanu fractional derivatives in the Caputo sense. Next, we explore the proposed fuzzy variable fractional COVID-19 model using the fixed point theory approach and determine the solutions existence and uniqueness conditions. We choose an appropriate mapping and with the help of the upper/lower solutions method. We prove the existence of a positive solution for the proposed fuzzy variable fractional COVID-19 model and also obtain the result on the existence of a unique positive solution. Moreover, we discuss the generalized Hyers-Ulam stability and generalized Hyers-Ulam-Rassias stability. Further, we investigate the results on maximum and minimum solutions for the fuzzy variable fractional COVID-19 model.
Keywords:
existence and uniqueness; fixed point theorems; Hyers-Ulam stability; Mittag-Leffler kernel; Novel coronavirus (COVID-19); variable Atangana-Baleanu fractional derivative

Contacts :
0