Waleed Mohammed Abdelfattah

59146518200

Publications - 7

Analysis of Plane Poiseuille flow of non-isothermal couple stress fluid between two parallel inclined plates using two reliable methods

Ilker Ozsahin Rashid Nawaz Hijaz Ahmad Alamgeer Khan Muhammad Farooq Faisal Zia Waleed Mohammed Abdelfattah

Publication Name: International Journal of Thermofluids

Publication Date: 2026-01-01

Volume: 31

Issue: Unknown

Page Range: Unknown

Description:

This study is motivated by the need to understand complex thermal and hydrodynamic behaviors of couple stress fluids, which commonly occur in lubrication systems, microfluidic devices, and polymeric material processing. Its significance lies in modeling non-isothermal couple stress fluid flow through an inclined Poiseuille channel bounded by two heated parallel plates, a configuration relevant to advanced heat and mass transfer applications. The aim is to determine the velocity profile, temperature distribution, volumetric flow rate, average velocity, and shear stress for the incompressible fluid. To achieve this, the highly nonlinear coupled ordinary differential equations governing the system are solved using the Optimal Homotopy Asymptotic Method and the Homotopy Perturbation Method, which provide accurate approximate solutions without linearization. The major findings show excellent agreement between the two approaches, confirming their validity, while parametric studies reveal how physical factors such as couple stress effects, plate inclination, and thermal gradients influence the flow. The specific applications of this work include lubrication processes, thermal energy devices, and fluid transport systems requiring precise control of flow and heat transfer.

Open Access: Yes

DOI: 10.1016/j.ijft.2025.101520

Controlled Fuzzy 2-Metric Spaces: A Soft Computing Framework with Dynamic Applications

Clemente Cesarano Osama Oqilat Hijaz Ahmad Tarapada Bag Abhishikta Das Waleed Mohammed Abdelfattah Dipti Barman Osama Oqilat

Publication Name: International Journal of Analysis and Applications

Publication Date: 2026-01-01

Volume: 24

Issue: Unknown

Page Range: Unknown

Description:

In this article, we introduce the concept of a controlled fuzzy 2-metric space, formulated by incorporating three control functions that flexibly regulate the fuzzy distance relationships among triplets of points. This structure provides a flexible analytical tool for modeling systems influenced by uncertainty, interdependence, and approximate reasoning. We establish several fundamental properties of this structure and derive fixed-point results. To demonstrate its practical relevance, we apply the proposed framework to a dynamic market-equilibrium problem, in which agents’ interactions are governed by fuzzy relations and control-dependent adjustments. The study also discusses implications for soft computing and decision-making systems, highlighting the framework’s potential in modeling adaptive and uncertain environments.

Open Access: Yes

DOI: 10.28924/2291-8639-24-2026-110

Hyers–Ulam stability of a nonlinear fractional hybrid dynamic equations on arbitrary time scales via measures of noncompactness

Osama Oqilat Hijaz Ahmad Bikash Gogoi Waleed Mohammed Abdelfattah Tazuddin Ahmed O. Oqilat Fahmida Nishat Yeasmin

Publication Name: Fixed Point Theory and Algorithms for Sciences and Engineering

Publication Date: 2026-12-01

Volume: 2026

Issue: 1

Page Range: Unknown

Description:

This paper investigates different forms of Hyers–Ulam stability for solutions of a nonlinear fractional hybrid dynamic equation defined on arbitrary time scales. By employing the measure of noncompactness together with a newly developed generalized version of Darbo’s fixed-point theorem, the existence of solutions is established. The uniqueness of solutions is further guaranteed via the Banach fixed-point theorem. In addition, illustrative numerical examples are presented to demonstrate the applicability and effectiveness of the theoretical results.

Open Access: Yes

DOI: 10.1186/s13663-026-00839-3

Artificial neural network analysis of chemical reaction and radiation effects on MHD ternary nanofluid flow over an exponentially accelerated inclined plate

S. V.K. Varma B. T. Raju C. Ganteda Hijaz Ahmad Waleed Mohammed Abdelfattah Charankumar Ganteda Hameed Miya

Publication Name: South African Journal of Chemical Engineering

Publication Date: 2026-07-01

Volume: 57

Issue: Unknown

Page Range: Unknown

Description:

This investigation explores the magnetohydrodynamic (MHD) free convective heat and mass transfer characteristics of a ternary nanofluid traversing an exponentially accelerated inclined plate within a porous medium. The theoretical framework integrates the complexities of internal heat generation/absorption and fluctuating wall temperatures. Analytical solutions were rigorously derived utilizing the Laplace transform technique, while a sophisticated Artificial Neural Network (ANN) was implemented to forecast and corroborate these mathematical outcomes. Heat Transfer (Nusselt Number) evaluated against the interplay of the Prandtl number, thermal radiation parameters, and temporal progression. Mass Transfer (Sherwood Number) analyzed as a function of magnetic permeability, the Schmidt number, and time. Thermal Enhancement findings indicate that an augmentation in the nanofluid volume fraction significantly bolsters thermal conductivity, thereby elevating the temperature profile. The proposed Levenberg-Marquardt Algorithm-based Backpropagation Artificial Neural Network (LMA BANN) demonstrated exceptional predictive fidelity. The model achieved a precision threshold exceeding 99.9% for the Nusselt number and near-perfect accuracy for the Sherwood number. These results are substantiated by negligible Mean Squared Error (MSE), Root Mean Squared Error (RMSE), and Mean Absolute Error (MAE) values, coupled with correlation coefficients (R) nearing unity, signifying a robust alignment between the analytical and predicted datasets.

Open Access: Yes

DOI: 10.1016/j.sajce.2026.100912

New Fractional Approach of Hermite-Hadamard-Type Inequalities with Applications to Information Divergence and Entropy Bounds

Evren Hincal Muhammad Tariq Hijaz Ahmad Tonguc Cagin Ilyas Khan Waleed Mohammed Abdelfattah Ali Asghar Waqar Afzal Saima Bhatti

Publication Name: International Journal of Analysis and Applications

Publication Date: 2026-01-01

Volume: 24

Issue: Unknown

Page Range: Unknown

Description:

Fractional integral operators play a vital role in establishing generalized forms of mathematical inequalities. These operators provide effective tools for modeling various scientific and engineering processes such as fracture mechanics, elasticity, heat transfer, viscoelastic deformation, and the behavior of continuous populations. In this study, we investigate a new class of Hermite–Hadamard type inequalities and verify their numerical validity. By employing a novel equality together with Hölder’s inequality, we derive several extensions of Hermite–Hadamard type inequalities through generalized convexity involving Raina’s function within the framework of fractional integral operators. Moreover, we present applications related to information divergence and entropy bounds. The results obtained here constitute significant advancements and generalizations of existing findings in the literature.

Open Access: Yes

DOI: 10.28924/2291-8639-24-2026-204

New Variant of Hermite-Hadamard-Type Inequality with Applications to Matrix and Bivariate Analysis

Evren Hincal Muhammad Tariq Hijaz Ahmad Ilyas Khan Waleed Mohammed Abdelfattah Ali Asghar Waqar Afzal Saima Bhatti Mustafa Bayram

Publication Name: International Journal of Analysis and Applications

Publication Date: 2026-01-01

Volume: 24

Issue: Unknown

Page Range: Unknown

Description:

Convex analysis and mathematical inequalities are now essential to the development of numerous pure and applied scientific domains. In this article, first we introduce the concept of n-fractional polynomial s-like m-preinvex function. In addition, we introduce, the new variant of Hermite-Hadamard type inequality via newly introduced concept pertaining to the k-fractional operator. Furthermore, we demonstrate the applications to matrix and bivariat analysis via newly introduce Hermite-Hadamard type inequality. The study’s conclusions present unique perspectives and contributions to the field, offering fresh and noteworthy improvements over previous research.

Open Access: Yes

DOI: 10.28924/2291-8639-24-2026-220

On Boundedness, Continuity, and Hyers–Ulam Stability of Interval-Valued Stochastic Processes in a Probabilistic Framework

Mujahid Abbas Muhammad Tariq Hijaz Ahmad Waleed Mohammed Abdelfattah Waqar Afzal

Publication Name: Statistics Optimization and Information Computing

Publication Date: 2026-08-03

Volume: 16

Issue: 3

Page Range: 2185-2199

Description:

In this paper, we investigate interval-valued stochastic processes within the framework of pseudo-order relations and analyze their fundamental analytical properties. We give a probabilistically meaningful definition of boundedness for interval-valued processes and use it to establish a single, consolidated local-to-global boundedness theorem, together with a corrected treatment of continuity in probability and of Hyers–Ulam stability for interval-valued stochastic mappings. Every construction that relies on interval subtraction, interval absolute value, or the ordering of negative intervals is given an explicit. The proposed approach provides a consistent structure for handling uncertainty arising from both randomness and interval-valued data, and we illustrate it with a toy financial example in which a return is simultaneously random and only known up to a measurement interval. We show precisely how the developed results relate to, and in the component-wise pseudo-order case reduce to, existing real-valued results, and we discuss open problems for the genuinely set-valued (inclusion-order) setting.

Open Access: Yes

DOI: 10.19139/soic-2310-5070-3884