A. Turab

Northwestern Polytechnical University | NWPU · Department of Computer Science and Software

Internet of Things (IoT) applications and resources are highly vulnerable to flood attacks, including Distributed Denial of Service (DDoS) attacks. These attacks overwhelm the targeted device with numerous network packets, making its resources inaccessible to authorized users. Such attacks may comprise attack references, attack types, sub-categorie...

This work emphasizes the computational and analytical analysis of integral-differential equations, with a particular application in modeling avoidance learning processes. Firstly, we suggest an approach to determine a unique solution to the given model by employing methods from functional analysis and fixed-point theory. We obtain numerical solutio...

With the advent of the internet, social media of Facebook and Twitter, as well as the communication technology of WhatsApp and Telegram, the speed and scope of the rumour dissemination has been expanded. Understanding the characterization of rumour dissemination and how it spreads can help in mitigation measures to avoid the spread of the rumour. T...

In this paper, we suggest the Rishi transform, which may be used to find the analytic (exact) solution to multi-high-order linear fractional differential equations, where the Riemann-Liouville and Caputo fractional derivatives are used. We first developed the Rishi transform of foundational mathematical functions for this purpose and then described...

The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement. The goal of this work is to provide a generic functional equation to observe the behavior of animals in such circumstances....

In this paper, we will investigate a fixed point theorem for (ψ, ϕ)-weak contraction via new functions in generalized ordered metric spaces. Furthermore, we present an illustrative application in integral equations.

Chemical graph theory (CGT) is a field of mathematical science that applies classical graph theory to chemical structures and processes. Chemical graphs are the principal data format used in cheminformatics to illustrate chemical interactions. Several researchers have addressed boundary-value problems using star graphs. Star graphs were used since...

In mathematical psychology, the model of decision practice represents the development of moral judgment that deals with the time to decide the meaning of the various choices and selecting one of them for use. Most animal behavior research classifies such situations as two distinct phenomena. On the other hand, reward plays a big part in this kind o...

The study of the interconnections between chemical systems is known as chemical graph theory. Through the use of star graphs, a limited group of researchers has examined the space of possible solutions for boundary-value problems. They recognized that for their strategy to function, they needed a core node related to other nodes but not to itself;...

A theory of chemical graphs is a part of mathematical chemistry concerned with the effects of connectedness in chemical graphs. Several researchers have studied the solutions of fractional differential equations using the concept of star graphs. They employed star graphs because their technique requires a central node with links to adjacent vertice...

The behavior of animals can be studied in two ways: experimentally, in labs or in the field, or theoretically, via modeling. Extensive research on animal behavior in probabilistic learning circumstances has produced findings that are consistent with so-called occurrence studies. However, such cases can be classified into four different events, depe...

Numerous computational and learning theory models have been studied using probabilistic functional equations. Especially in two-choice scenarios, the vast bulk of animal behavior research divides such situations into two different events. They split these actions into two possibilities according to the animals’ progress toward a particular decision...

Simple birth–death phenomena are frequently examined in mathematical modeling and probability theory courses since they serve as an excellent foundation for stochastic modeling. Such mechanisms are inherent stochastic extensions of the deterministic population paradigm for population expansion of a particular species in a habitat with constant reso...

Many biological and learning theory models have been investigated using probabilistic functional equations. This article focuses on a specific kind of predator-prey relation in which a predator has two prey options, each with a probability of x and 1 − x, respectively. Our aim is to investigate the animal’s responses in such situations by proposing...

We show how to apply the well-known fixed-point approach in the study of the existence, uniqueness, and stability of solutions to some particular types of functional equations. Moreover, we also obtain the Ulam stability result for them. The functional equations that we consider can be used to explain various experiments in mathematical psychology...

This paper aims to suggest a time-fractional (SPEPIPAIPSPHPRP) model of the COVID-19 pandemic disease in the sense of the Atangana-Baleanu-Caputo operator. The proposed model consists of six compartments: susceptible, exposed, infected (asymptomatic and symptomatic), hospitalized and recovered population. We prove the existence and uniqueness of so...

The term "learning" is often used to refer to a generally stable behavioral change resulting from practice. However, it is a fundamental biological capacity far more developed in humans than in other living beings. In an animal or human being, the learning phase may often be viewed as a series of choices between multiple possible reactions. Here, w...

In the form of a T, a T-maze is an experimental design in which each trial consists of decisions between two or more options. It contains choices with particular kinds of symmetries that have gained considerable attention in psychology and learning theories. One of the simplest mazes utilized by rats is the T-maze since it requires just a single po...

The model of decision practice reflects the evolution of moral judgment in mathematical psychology, which is concerned with determining the significance of different options and choosing one of them to utilize. Most studies on animals behavior, especially in a two-choice situation, divide such circumstances into two events. Their approach to dividi...

A branch of mathematical science known as chemical graph theory investigates the implications of connectedness in chemical networks. A few researchers have looked at the solutions of fractional differential equations using the concept of star graphs. Their decision to use star graphs was based on the assumption that their method requires a common p...

This paper deals with a nonlinear Langevin equation involving two fractional orders with three-point boundary conditions. Our aim is to find the existence of solutions for the proposed Langevin equation by using the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem. Three examples are also given to show the significance o...

The model of choice action is the study that defines the theological thought phase in relation to the system of assessing the significance of the various choices and dealing with the consequences to evaluate one for practice. This paper attempts to examine a particular form of choice preference study suggested by Bush and Wilson (Two-choice behavio...

Chemical graph theory is a branch of mathematics that combines graph theory and chemistry and discusses the effect of research on “serious” or “pure” mathematics. A range of new graph ideas can be identified in the current development of mathematical chemistry and chemical graph theory. These advances include chemical kinetics as well as biomacromo...

The analysis of iterative differential equations is often related to the various applications of calculus, which support all mathematical sciences. These equations are critical when it comes to interpreting the infection models. Furthermore, the inclusion of self-mapping raises the complexity of determining the existence of solutions for the iterat...

This article focuses on a specific type of the predator-prey model under some experimenter-subject-controlled events. Our goal is to study predator animals’ behavior in these circumstances and establish a suitable mathematical model that encompasses all facets of these relationships. The Banach fixed point theorem is used to obtain the existence an...

Chemical graph theory is a field of mathematics that studies ramifications of chemical network interactions. Using the concept of star graphs, several investigators have looked into the solutions to certain boundary value problems. Their choice to utilize star graphs was based on including a common point connected to other nodes. Our aim is to expa...

The Langevin equation is a core premise of the Brownian motion, which describes the development of essential processes in continuously changing situations. As a generalization of the classical one, the fractional Langevin equation offers a fractional Gaussian mechanism with two indices as parametrization, which is more flexible to model fractal sys...

Probabilistic functional equations have been used to analyze various models in computational biology and learning theory. It is worth noting that they are linked to the symmetry of a system of functional equations’ transformation. Our objective is to propose a generic probabilistic functional equation that can cover most of the mathematical models...

This paper deals with a particular class of probabilistic functional equations used to observe animals’ psychological learning process. Our aims are to find the existence and uniqueness of such functional equations’ solution using the Banach fixed point theorem and discuss the Hyers-Ulam and Hyers-Ulam-Rassias type stability of the proposed functio...

The purpose of this short note is to present some corrections and clarifications concerning the proof of the main result given in the paper “On analytic model for two-choice behavior of the paradise fish based on the fixed point method, J. Fixed Point Theory Appl. 2019, 21:56”.

The purpose of this paper is to discuss a special type of functional equation that describes the relationship between the predator animals and their two choices of prey with their corresponding probabilities. Our aim is to find the existence and uniqueness results of the proposed functional equation using the Banach fixed point theorem. Finally, we...

In this paper, we are dealing with a particular type of predator–prey model in which a predator has two choices of preys with probabilities x and \(1-x\), respectively. Our aims are to analyze the behavior of predator animals in such situation and to construct a general functional equation for it, which covers all the aspects of such type of relati...

This paper deals with a specific type of traumatic avoidance for the learning process of normal dogs enclosed into a small compartment with a steel grid floor. Our aim is to analyze the behavior of the dogs in such situations and to construct a suitable mathematical model for it. The existence and uniqueness results of the proposed traumatic avoida...

The choice behavior model is the model which describes the spiritual process of thinking which is concerned with the process of judging the merits of the numerous options and making the decision to determine one of them for action. The aim of this paper is to analyze the one specific type of choice behavior model for the learning process of the par...

The purpose of this work is to investigate a special type of functional equations which describes the relationship between the predator animals and their two choices of preys with probabilities. Our aim is to modify the original predator-prey model by excluding some conditions and also prove the general existence and uniqueness results for function...

In this paper, we investigate a fixed point theorem for (Ψ, φ)-weak contraction via new functions in generalized ordered metric spaces. Furthermore, we present illustrative applications in integral equations.

The sad news is that Professor Ćirić is no longer with us physically, but he will always remain in our memories. He died on Saturday, 23th July 2016 at the age of 81. We have presented a brief biography based on the report of the selection in SANU that is available on the Internet (http://nds.edu.rs/clanovi/prof-dr-ljubomir-b-ciric/; Serbian langua...