Khalouta reduced differential transform method and its convergence for nonlinear fractional biological population equation under Caputo’s fractional operator

Fatima Hathat, Ali Khalouta

In this paper: The current paper focuses on finding the exact solution of the nonlinear fractional biological population equation under Caputo’s fractional operator by involving a new hybrid technique known as the K...

COVID-19’s daily new confirmed cases and deaths in Tunisia : A forensic analysis and machine learning algorithms for outlier detection

Ghassen El Montasser

In this paper: Effective management of health crises requires a good diagnosis of the current situation and an update of relevant data. Therefore, reliability of this data is fundamental to implement the necessary m...

A new stochastic integral created for air pollution

Tayebeh Waezizadeh, Mohammad Reza Molaei

In this paper: In this paper, using an order creator for integral, a new random variable is introduced. Also, some basic properties are investigated. As follow, a new integral that is a random process is introduced....

Traveling wave solutions to the class of nonlinear partial differential equations with a Riccati-Bernoulli sub-ODE method

S. E. Fadugba, Ibrahim Ismail, Malesela Kekana

In this paper: This research investigates the application of the Riccati-Bernoulli (R-B) sub-ODE technique to analyze the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP)  and the three-dimensional Potential Yu-...

A new plan to study various solutions of the extended Korteweg-de Vries(K-dV) equation with conformable derivative

A. Sharif, M. Ghojogh

In this paper: In this discussion, the extended fractional Korteweg-de Vries(K-dV) equation has been studied using the modified Sardar sub-equation method. The method in question is an efficient method with various...

A novel computational expansion of the fractional kinetic equation with incomplete H-functions

Taruna Garg, Madhuchanda Rakshit, Shyamsunder

In this paper: This study introduces a novel and more generalized form of the fractionalized kinetic equation (KE), expressed using the incomplete H-function combined with an exponential function. The significance o...

Scheduling theory and applications revisited

Stefan M. Stefanov

In this paper: In this paper, the scheduling theory and its applications are considered. The problems with one machine and two machines, as well as the multi-machine problem, are discussed. The schedules are present...

MR–Metric spaces with applications

Abed Al-Rahman M. Malkawi, Ayat Rabaiah, Wasfi Shatanawi, Abdallah Talafhah

In this paper: This paper presents the notion of MR-metric spaces and explores their connection with b-metric spaces. Furthermore, we present several methods for constructing MR-metric spaces and explore different t...

A new variant of secant technique for simulation of nonlinear equations

Inderjeet, Rashmi Bhardwaj

In this paper: In this article, we report a new iterative technique for solving nonlinear equations. We derive the technique by using traditional Secant method. It is established that the new technique has 2.732 ord...

Generalized Hyer’s-Ulam stability for the cubic functional equation in non-Archimedean normed spaces

P. Gayathri, J. Uma

In this paper: In this current article, we explore the Hyer’s-Ulam Stability for the cubic functional equation over non-Archimedean Normed space and the equation is written as follows:  (3𝔣(𝓍 + 3y) – 𝔣(3𝓍 + y) = 12[...

Index of Volume 28 (2025)

In this paper: