Turkish Journal of Mathematics
Author ORCID Identifier
SAMANE IJADI: 0009-0006-0649-0057
S. MANSOUR VAEZPOUR: 0000-0003-3909-4203
MEHDI SHABIBI: 0000-0001-7380-1595
SHAHRAM REZAPOUR: 0000-0003-3463-2607
Abstract
In this article, by extending Friedmann's equation, we propose a singular fractional differential system for the Big Bang model. In this model, the rate of increase in the size of the universe tends to infinity at time near to zero and causes the emergence of a singular differential equation,which physically justifies the near-infinity energy of the universe in the near-zero volume of the universe in the early moments of the Big Bang. Then, we investigate this type of strong singular boundary value problem, by using $\alpha$-inequalities. In the sequel, some examples, describe the main results. Moreover, we present numerical and graphical simulations to illustrate the convergence of solutions for this singular problem.
DOI
10.55730/1300-0098.3570
Keywords
α-inequalities, Big Bang, Caputo derivative, convert singular, fractional calculus, singularity
First Page
1
Last Page
17
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
IJADI, S, VAEZPOUR, S, SHABIBI, M, & REZAPOUR, S (2025). The role of α-inequalities in examining the singular version of the Big Bang model. Turkish Journal of Mathematics 49 (1): 1-17. https://doi.org/10.55730/1300-0098.3570
