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Transmuted cosine Topp-Leone G family of distributions: properties and applications [PDF]

Journal of Nigerian Society of Physical Sciences
In contemporary data analysis, the need for flexible and adaptable probabilistic models capable of capturing complex dependencies and tail behaviors in real-life datasets has become increasingly apparent.
Abdulhameed Osi, Sani Ibrahim Doguwa, Abubakar Yahaya, Yahaya Zakari, Abubakar Usman   +4 more
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The Cosine Alpha Power-G Family of Distributions: Theory, Properties, and Applications

Journal of Probability and Statistics
This paper proposes a new and versatile family of probability distributions, termed the cosine alpha power-G (CAP-G) family. The construction combines the alpha power transformation with a cosine-based generator, yielding models that can flexibly capture
Shahid Mohammad, Aminat Gbadamosi, Saheed Akinbode   +2 more
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Nonlocal Telegraph Equation in Frame of the Conformable Time-Fractional Derivative

Advances in Mathematical Physics, 2019
We use the cosine family of linear operators to prove the existence, uniqueness, and stability of the integral solution of a nonlocal telegraph equation in frame of the conformable time-fractional derivative.
Mohamed Bouaouid, Khalid Hilal, Said Melliani   +2 more
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Sequential evolution conformable differential equations of second order with nonlocal condition

Advances in Difference Equations, 2019
In this paper, we investigate second order evolution differential equation in the frame of sequential conformable derivatives with nonlocal condition. First, we establish Duhamel’s formula in terms of a standard cosine family of linear operators.
Mohamed Bouaouid, Khalid Hilal, Said Melliani   +2 more
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Synthetic Content Validation of Pediatric Trust Instruments Using Persona-Driven Large Language Models: Development and Evaluation Study

JMIR Formative Research
BackgroundLarge language models (LLMs) could assist in streamlining health care instrument validation. This is particularly relevant as traditional instrument development is time-intensive and resource-intensive.
Ella Boone, Katya Loban, Carmel Daskalo, Suganthi Rajasegaran, Elena Guadagno, Jeannie Haggerty, Sylvie Lambert, Dan Poenaru   +7 more
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A novel distributional approach based on the trigonometric function with medical data sets

Alexandria Engineering Journal
Statistical methods have widespread applications in real-life scenarios. Researchers have expressed keen interest in implementing different functions to raise new probability distributions.
Yusra A. Tashkandy, Assem Elshenawy, Getachew Mekiso Tekle, M.E. Bakr, Oluwafemi Samson Balogun   +4 more
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On some Asymptotic Properties of the Extended Cosine Burr XII Distribution

UMYU Scientifica Journal
In statistics, asymptotic functions provide a powerful framework for understanding the behavior of functions or statistical procedures within the limits of certain parameters.
Ibrahim Abdullahi, Usman Mukhtar, Isyaku Muhammad   +2 more
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Approximate controllability of semilinear fractional evolution equations of order α∈(1, 2] with finite delay

上海师范大学学报. 自然科学版, 2017
This paper considers the approximate controllability of semilinear fractional evolution equations of order α∈ (1, 2] with finite delay. Using the contraction mapping principle, we explore the existence and uniqueness of the mild solution.
Ma Saisai, Kou Chunhai, Ge Fudong
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Existence, regularity and representation of solutions of time fractional wave equations

Electronic Journal of Differential Equations, 2017
We study the solvability of the fractional order inhomogeneous Cauchy problem $$ \mathbb{D}_t^\alpha u(t)=Au(t)+f(t), \quad t>0 ...
Valentin Keyantuo, Carlos Lizama, Mahamadi Warma   +2 more
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Second Hukuhara derivative and cosine family of linear set-valued functions

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2006
Let $K$ be a closed convex cone with the nonempty interior in a real Banach space and let $cc(K)$ denote the family of all nonempty convex compact subsets of $K$.
Magdalena Piszczek
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