Rabha W. Ibrahim

• Professor PhD in Mathematical Science and Post Doc. in Cloud Computing System
• Professor at Okan University

Fractional calculus can be employed to precisely alter or control the fractal dimension of deter-ministic or random fractals with coordinates that can be denoted as functions of independent variables. Fractal geometry, enabling more accurate definition and measurement of the complicated nature of a shape, resorts to quantification, while gamma func...

An arboreal ant species by nature, the Asian weaver ant Oecophylla smaragdina F., (Hymenoptera: Formicidae) colony's social structure composition was investigated in depth. Brood and barrack nests were collected from the African oil palm (Elaeis guineensis) canopies and Limau kasturi (Citrus microcarpa) orchards, and dissected. All castes morpholog...

Coastal erosion and sediment transport dynamics in Iraq’s shoreline are increasingly affected by extreme climate conditions, including rising sea levels and intensified storms. This study introduces a novel fractional-order sediment transport model, incorporating a modified gamma function-based differential operator to accurately describe erosion r...

This work addresses a new definition of a fractional integral operator that acts on functions which are m-fold-p-valent symmetric in the unit disk. We provide examples of the considered geometric functions of the m-fold-p-valent symmetric type. Also, using the Hadamard product, we prove several results, including the fractional integral operator as...

Fractional discrete systems can enable the modeling and control of the complicated processes more adaptable through the concept of versatility by providing system dynamics’ descriptions with more degrees of freedom. Numerical approaches have become necessary and sufficient to be addressed and employed for benefiting from the adaptability of such sy...

The aim of this work is to study two classes of stochastic fractional differential equations via the application of the method of upper and lower solutions combined with the Arzela-Ascoli theorem. We begin by proving an auxiliary result for the integral representation of an Airy-type stochastic problem. The specific symmetry features of an Airy-typ...

The Duhamel principle is a mathematical principle that allows us to solve linear partial differential equations. This system is generalized by the concept of the k -symbol fractional calculus. We demonstrate that in specific functional domains, the suggested system produces a global solution. Convergence toward the stable point is investigated. Som...

In this effort, we extend the fractal–fractional operators into the complex plane together with the quantum calculus derivative to obtain a quantum–fractal–fractional operators (QFFOs). Using this newly created operator, we create an entirely novel subclass of analytical functions in the unit disk. Motivated by the concept of differential subordina...

We study a family of inequalities formed by the Fekete-Szegö design, making use of the normalized analytic functions in the open unit disk. We investigate the following functional: Ψ(z) := z 1−ϑ ψ ′ (z) ψ 1−ϑ (z) , where ϑ ≥ 0 acts on a domain having the starlike with respect to the boundary of the unit disk and symmetric with respect to the real a...

A fractal–fractional calculus is presented in term of a generalized gamma function (ℓ−gamma function: Γℓ(.)). The suggested operators are given in the symmetric complex domain (the open unit disk). A novel arrangement of the operators shows the normalization associated with every operator. We investigate a number of significant geometric features t...

Gronwall's inequalities are important in the study of differential equations and integral inequalities. Gronwall inequalities are a valuable mathematical technique with several applications. They are especially useful in differential equation analysis, stability research, and dynamic systems modeling in domains spanning from science and math to bio...

In this effort, we present a new definition of the Steiner symmetrization by using special analytic functions in a complex domain (the open unit disk) with respect to the origin. This definition will be used to optimize the class of univalent analytic functions. Our method is based on the concept of differential subordination and the Carathéodory t...

By using the most generalized gamma function (parametric gamma function, or p-gamma function), we present the most generalized Rabotnov function, called the p-Rabotnov function. Consequently, new fractal–fractional differential and integral operators of a complex variable in an open unit disk are defined and investigated analytically and geometrica...

This work examines the behaviour of flow and heat transmission in the presence of hybrid nanofluid in thermal radiation, heat generation, and magnetohydrodynamics. The hybrid state in this model is represented by two different fluids, TiO2 (titanium dioxide) and Ag (silver). The enclosure is wavy and slanted, with curving walls on the left and righ...

Plant diseases can spread rapidly, leading to significant crop losses if not detected early. By accurately identifying diseased plants, farmers can target treatment only to the affected areas, reducing the number of pesticides or fungicides needed and minimizing environmental impact. Tomatoes are among the most significant and extensively consumed...

In order to examine various geometric features, we expanded the supertrigonometric function (STF) and superhyperbolic function (SHF) into the open unit disk. A convolution differential operator of the STF provides the formulas. The suggested operator works with both integral and double differential inequalities. As a result, we present a collection...

With the escalating demand for energy, there is a growing focus on decentralized, small-scale energy infrastructure. The success of new turbines in this context is notable. However, many of these turbines do not follow many of the basic ideas established to evaluate their performance, leaving no precise technique or mathematical model. This researc...

A new fractional integral operator is used to present a generalized class of analytic functions in a complex domain. The method of definition is based on a Hadamard product of analytic function, which is called convolution product. Then we formulate a convolution integral operator acting on the sub-class of normalized analytic functions. Consequent...

يعتبر الاستقطاع التلقائي للأمراض خطوة أولية ضرورية في التشخيص الروتيني. تعتبر أمراض الرئة التي تؤثر على الرئتين، مثل الالتهاب الرئوي أو التليف الرئوي والذي يؤدي الى كثافة في أنسجة الرئة والتي تجعل عملية استقطاع هذه المناطق عملية صعبه جدا بسبب الخصائص المتشابه للانسجة المجاورة. لذا تقترح هذه الدراسة نموذج جديد لاستقطاع الصور المقطعية للرئة والتي تتض...

It has been shown that the findings of d-metric spaces may be deduced from S-metric spaces by considering dϖ,ϰ=Λϖ,ϖ,ϰ. In this study, no such concepts that translate to the outcomes of metric spaces are considered. We establish standard fixed point theorems for integral type contractions involving rational terms in the context of complete S-metric...

The current study investigates two-dimensional natural convective heat transference and entropy production in a tilted wavy-walled enclosure under the magnetic field and thermal radiation effect. The enclosure is filled with Cu–Al 2 O 3 /H 2 O hybrid nanofluid and subjected to a non-uniformly heated curved left wall, constant cold right curved side...

A T T -symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ [ T ] ( ζ ) = [ ϕ ( ζ T ) ] 1 ∕ T {\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ \zeta in the unit disk. In other words, it is a complex function that preser...

Melting heat and solutal transference in a magnetohydrodynamic flowing of Williamson nanofluid have been described, with the mathematical model guided by Arrhenius activation energy, chemically reactive species, and convective boundary restrictions. By implementing suitable similarity conversions, the regulating equations of partial differential eq...

Numerous special functions, including the beta function, hypergeometric functions, and other orthogonal polynomials, are closely connected to the gamma function. Recently, gamma function has been enhanced by adding a new parameter. As a consequence, this gamma is called the parametric gamma function or b-gamma function. By utilizing the enhanced ga...

The growing prevalence of fake images on the Internet and social media makes image integrity verification a crucial research topic. One of the most popular methods for manipulating digital images is image splicing, which involves copying a specific area from one image and pasting it into another. Attempts were made to mitigate the effects of image...

Mathematics has several uses for operators on bounded symmetric domains of Bergman spaces including complex geometry, functional analysis, harmonic analysis and operator theory. They offer instruments for examining the interaction between complex function theory and the underlying domain geometry. Here, we extend the Atangana-Baleanu fractional dif...

In this investigation, we study a class of analytic functions of type Carathéodory style in the open unit disk connected with some fractal domains. This class of analytic functions is formulated based on a kind of Langevin differential equations (LDEs). We aim to study the analytic solvability of LDEs in the advantage of geometric function theory co...

This theoretical work suggests a novel nonlinear thermal radiation and an applied magnetic feature-based three-dimensional Casson nanomaterial flow. This flow is assumed in the rotating frame design. Gyrotactic microorganisms (GMs) are utilized in the Casson nanofluid to investigate bioconvection applications. The altered Buongiorno thermal nano-mo...

Special Issue: Sustainable Crop Plants Protection Implications for Pest and Disease Control

Medical imaging is considered a suitable alternative testing method for the detection of lung diseases. Many researchers have been working to develop various detection methods that have aided in the prevention of lung diseases. To better understand the condition of the lung disease infection, chest X-Ray and CT scans are utilized to check the disea...

The solvability of a fractional differential equation depends on various factors such as the type of equation, the order of the fractional derivative, the domain and boundary conditions, and the properties of the solution sought. In this paper, The solution of a system of Caputo-Hadamard fractional differential equations (SCH) with integral boundar...

This article presents a comprehensive literature survey on fractional-order optimal control problems. Fractional-order differential equation is extensively used nowadays to model real-world systems accurately, which exhibit fractal dimensions, memory effects, as well as chaotic behaviour. These versatile features attract engineers to concentrate mo...

It is well known that there are two important classes of analytic functions of Ma-Minda type (MMT): Ma-Minda starlike and Ma-Minda convex functions. In this work, we suggest a new class of analytic functions, which is normalized in the open unit disk. The suggested class is generated by a roulette curve formula, which satisfies the symmetric behavi...

Analytic functions are very helpful in many mathematical and scientific uses, such as complex integration, potential theory, and fluid dynamics, due to their geometric features. Particularly conformal mappings are widely used in physics and engineering because they make it possible to convert complex physical issues into simpler ones with simpler a...

Non-local operators of differentiation are bestowed with capabilities of encompassing complex natural into mathematical equations. Symmetry as invariance under a specified group of transformations can allow for the concept to be applied extensively not only to spatial figures but also to abstract objects like mathematical expressions which can be s...

Convolution operators have profited in various areas of science. They are utilized in the investigations of computing techniques. A new convolution operator linked to a specific class of multi-valent meromorphic functions in the punctured unit disk (symmetric domain) is formulated. This analysis uncovers certain properties on the connections as wel...

Breast cancer develops in breast cells. It is the most common type of cancer in women and the second most lethal disease after lung cancer. The presence of breast masses is an important symptom for detecting breast cancer in its early stages. This study proposes a hybrid features extraction method to improve the automatic detection of breast cancer...

People with special needs can receive health care services in their own homes through the use of smart home systems. In essence, this type of smart home has specialized electronics that allow remote operation of automated remote health care gadgets, enabling patient security and health tracking. These sensors are linked to a local intelligence unit...

A complex Layla and Majnun model system (CLMMS) is suggested in this study for a complex variable in the open-unit disk. Analytic solutions are discovered by using a technique of bounded turning functions. The set of necessary conditions is illustrated involving some special cases.

The type of symmetry exhibited by a travelling wave can have important implications for its behaviour and properties, such as its polarization, dispersion, and interactions with other waves or boundaries. The fractional differential Duffing problem refers to the mathematical modelling of nonlinear, damped oscillations of a system with fractional de...

Thek-convolutedoperatorsrelatedtothek-Whittakerfunction(confluenthypergeometricfunctionof thefirstkind)aredevelopedusingk-symbolcalculus,presentingageneralizationofthegammafunction.Inthe study,anewgeometricformulafornormalizedfunctionsinthesymmetricdomainknownastheopenunitdisk usingtheconformablefractionaldifferentialoperatorisaddressed.Toadaptthet...

Breast cancer is the most common cancer among women worldwide and is currently the second most common cancer-related death in women. However, early detection and diagnosis of breast cancer can lead to a complete remission and can extend survival periods. Dynamic Contrast Enhanced MRI (DCE-MRI) is being increasingly used in early detection and chara...

A generalization of Tremblay differential operator is obtained in terms of the k− symbol fractional calculus in a complex domain. By using this operator, the analytic solutions of fractional differential equation are investigated. Our approach is based on a variety of ideas, spanning subordination and superordination as well as the use of Jack Lemm...

The [Formula: see text]-convoluted operators related to the [Formula: see text]-Whittaker function, confluent hypergeometric function of the first kind, have been developed using the [Formula: see text]-symbol calculus in which this sort of calculus presents a generalization of the gamma function. [Formula: see text]-symbol fractional calculus is e...

In this study, a new cavity shape was filled with an extension multi-walled carbon nanotubes-Fe 2 O 3 /H 2 O nanofluid under a constant magnetic field. The Darcy–Forchheimer model is used to account for the inertial impact of advection in the porous layer while maintaining the laminar and incompressible nature of the nanofluid flow. The dimensionle...

The conformal mapping (CM) mode is engaged for conformal antenna strategy using the geometric representation of the CM. For some conformal antennas (CAs) have the same shape, actuality able to segment a shared rough system, which is an essential improvement of this method in these CA optimizations (CAOs). Different parameters of CAs are optimized....

To improve heat transfer, this work provides a unique theoretical mathematical model of ternary hybrid nanofluid. In this analysis, the tri-hybrid nanoparticles TiO2, Al2O3, and AA7072 are submerged in ethylene glycol (EG), resulting in the mixture TiO2+Al2O3+AA7072/EG. The tri hybridity nanofluid is considered 3-D flowing via a rotate permeable co...

Many image-processing applications heavily depend on the quality of medical images. Due to the unpredictable variation in the captured images, medical images frequently have problems with noise or low contrast; therefore, improving medical imaging is a challenging task. For better treatment, physicians need images with good contrast to provide the...

Prandtl Eyring fluid and stretchable wedge have multiple usages in many industries. The present study aims to investigate the impact of modified Buongiorno trihybrid nanofluid on Prandtl Eyring fluid past a wedge with the addition of various influences like endothermic/exothermic reactions, thermal radiation, and thermal conductivity, Cattaneo-Chri...

The goal of this research is to investigate the effects of Ohmic heating, heat generation, and viscous dissipative flow on magneto (MHD) boundary-layer heat transmission flowing of Jeffrey nanofluid across a stretchable surface using the Koo-Kleinstreuer-Li (KKL) model. Engine oil serves as the primary fluid and is suspended with copper oxide nanom...

The dominant characteristics of hybrid nanofluids, such as low cost, improved heat transfer rates, and higher thermal and electrical conductivity, make them preferable fluids in thermal energy systems. In light of these incredible features, our goal in the present research is to analyse heat transfer and entropy generating in (Fe 3 O 4-Cu)/water hy...

Recently, a symmetric differential operator (SDO) is attracted to studying in the field of mathematical analysis. A new formal of SDO is presented to generalize some well known differential operators in a complex domain. According to this formulation, we shall exam the boundedness and compactness of this operator in complex spaces, such as Hilbert...

Signcryption is a highly efficient approach to simultaneously achieving message confidentiality and authentication in Human-Centered IoT (HC-IoT) systems. HCIoT is a new field of study that links various aspects of life such as smart cards, business, e-commerce, healthcare, and sensitive private data. A number of intelligent systems favor human int...

ARTICLE INFO Keywords: Galerkin finite element methodology MHD Maxwell nanofluid Cattaneo-Christov heat flux concept ABSTRACT Background: The generation, utilization, adaptation, and transmission of thermal energy are all included in the controller topic of heat transport. Engineering and manufacturing disciplines include nutrition processing, the...

The Asian weaver ant Oecophylla smaragdina is a natural enemy (predator) used as a biological control agent in Australia and several Southeast Asian nations against the most destructive and economically important oriental fruit fly Bactrocera dorsalis. For biological control of the invasive bagworm species Metisa plana in oil palm plantations, the...

The Asian weaver ant (Oecophylla smaragdina) is a natural enemy, generalist predator of diverse major pest species (i.e. the highly destructive oriental fruit fly Bactrocera dorsalis) in economically strategic agricultural landscapes in Australia and Southeast Asia countries. For effective implementation of the weaver ant for biological control of...

Within the context of fractional calculus, we investigate novel mathematical possibilities. In this context, using the fractional dispersion relations for the fractional wave equation, we explore a class of the generalized fractional wave equation numerically. Some important classes of differential equations in the theory of wave studies are Drinfe...

Image forgery is a crucial part of the transmission of misinformation, which may be illegal in some jurisdictions. The powerful image editing software has made it nearly impossible to detect altered images with the naked eye. Images must be protected against attempts to manipulate them. Image authentication methods have gained popularity because of...

In this paper, to characterize the appearances of bio-convection and influencing microorganisms in movements of influenced Walters-B nanofluid, we built a process in a stretchable sheet utilizing Fourier’s and Fick’s laws. The mass and temperature diffusion hypothesis proposed by Cattaneo and Christov has been considered. Also, the Buongiorno pheno...

To determine the social structure composition of the Asian weaver ant colony

The telecare medicine information systems (TMIS) offer a networking channel across public networks to access remote medical services and enable health care professionals and medical staff to make the best clinical decisions and treatments quickly. The verified-based three-party authentication protocol in TMIS for data exchange, authorizations only...

This work employs a numerical calculation to investigate the heat and mass transfer process of a hydromagnetic radiative Casson fluid flowing through a vertical plate in the presence of heat generation, viscid dissipation and chemical processes. The governing dimensional partial differential equations (PDE) for considered Casson fluid are first con...

Background: The thermal control subject of heat transference encompasses the generation, use, conversion, and transportation of thermal energy. Heat transference is critical in engineering and industrial industries such as food processing, food additive manufacturing, electronic cooling, microturbines, and so on. Because of the intriguing possibili...

Impulsive is the affinity to do something without thinking. In this effort, we model a mathematical formula types integro-differential equation (I-DE) to describe this behavior. We investigate periodic boundary value issues in Banach spaces for fractional a class of I-DEs with non-quick impulses. We provide numerous sufficient conditions of the exi...

Apart from the Buongiorno concept, no study was published that sufficiently examined the impact of nanoparticles on the extendable surface of the third-grade fluid prototype. The third grade nanofluid (3GNF) model's liquid simulation needs for Tiwari and Das are theoretically evaluated in the current work utilizing motor oil as the standard base li...

Images are frequently disrupted by noise of all kinds, making image restoration very challenging. There have been many different image denoising models proposed over the last few decades. Some models preserve the image’s smooth region, while others preserve the texture margin. One of these methods is by using quantum calculus. Quantum calculus is a...

Background: Scientists across the world have tried to explore the effect of non-Newtonian fluids moving over a symmetric stretchable sheet with the presence of diverse influences revealed in this study due to its tremendous applications in various engineering and industrialized sectors like aerodynamics extrusion of plastic surfaces, condensation p...

The symmetric Schur process has many different types of formals, such as the functional differential, functional integral, and special functional processes based on special functions. In this effort, the normalized symmetric Schur process (NSSP) is defined and then used to determine the geometric and symmetric interpretations of mathematical expres...

The bagworm (Metisa plana) is a recurrent indigenous invasive defoliator in oil palm plantations. Moderate foliar injury can cost up to 40% yield loss and more for years. The main objective of this review is to disseminate published research demonstrating the versatile services that would benefit farmers by adopting the Asian weaver ant into their...

Hybrid nanofluid (HNF) is a new and improved type of nanofluid models that is widely employed in fluid flow regimes to increase thermal efficiency. The purpose of this effort is to investigate HNF flow in two dimensions over a horizontal sheet while accounting for the effects of Joule heating, viscous dissipation, suction, and thermal slip. The imp...

The review of Oecophylla smaragdina foraging activity and population dynamics towards an assessment of potential adoption as a biological control agent in the oil palm plantations industry in Malaysia and Indonesia. Additionally, it does open the way for others crops in Asia. The ant species is a model for evolution, behavioral, ecological and appl...

The variable fractional Lozi map (VFLM) and the variable fractional flow map are two separate systems that we propose in this inquiry. We study several key dynamics of these maps. We also investigate the sufficient and necessary requirements for the stability and asymptotic stability of the variable fractional dynamic systems. As a result, we provi...

A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized. Our method is based on the concepts of subordination and superordination. As an application, a class of differential equa...