Soft Computing for Reservoir Characterization

Nikravesh, Masoud; Aminzadeh, Fred

doi:10.1007/978-3-540-39675-8_1

Cited by 5 publications

(1 citation statement)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In recent years, ambiguous calculus and uncertain differential problems have gained significant attention due to their ability to tackle complex real-world frameworks that are inherently vague or uncertain [1][2][3]. Uncertain calculus expands traditional ones by incorporating the concept of ambiguous sets, allowing for the representation of ambiguous or uncertain data within a mathematical framework.…”

Section: Introduction and Contentsmentioning

confidence: 99%

Uncertain M-fractional differential problems: existence, uniqueness, and approximations using Hilbert reproducing technique provisioner with the case application: series resistor-inductor circuit

Maayah,

Arqub

2024

Phys. Scr.

View full text Add to dashboard Cite

In this article, the principle of characterization is proposed as a new tool for solving uncertain M-fractional differential problems under firmly generalized differentiability. The study demonstrates the solvability of such issues by presenting theoretical implications on the existence and uniqueness of two uncertain M-solutions. Additionally, the study provides quantitative solutions in a novel uncertain framework using two Hilbert spaces that are combined through the kernel-based Gram-Schmidt orthogonalization technique. The proposed uncertain problems and algorithms are examined, with a focus on analyzing the solution collection, assessing convergence, and evaluating errors. The debatable Hilbert approach can solve numerous M-fractional differential problems under uncertainty, and the numerical results demonstrate the accuracy and effectiveness of the algorithm. Based on the figures, tables, and quantitative analysis, our work significantly enhances mathematical tools for solving complex M-fractional differential problems under uncertainty. By utilizing the numerical pseudocode; this advancement has the potential to make an impact on various scientific and engineering fields. The final section presents numerical notes, along with recommendations for future research directions. Additionally, an evaluation of the study's findings is provided based on the conducted analysis.

show abstract

Section: Introduction and Contentsmentioning

confidence: 99%