AHMED A. HAMOUD
@taiz.edu.ye
Department of Mathematics
Taiz University
RESEARCH INTERESTS
Numerical Analysis, Differential Equations, Integral Equations, Fuzzy Integral Equations, Fractional Integro-Differential Equations.
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Basel Hardan, Ahmed A. Hamoud, Jayashree Patil, Alaa A. Abdallah, Homan Emadifar, Masoumeh Khademi, and Kirtiwant P. Ghadle
Walter de Gruyter GmbH
Abstract Using the class of ( μ , σ ) \\left(\\mu ,\\sigma ) -nonexpansive mappings, we will effectively prove the uniqueness of the approximative fixed points set for equivalent n n -linear functional spaces F {\\mathscr{F}} , where F {\\mathscr{F}} is nonempty and identical in every bounded case in n n -Banach space.
Abdallah M. M. Badr, Basel Hardan, Ahmed A. Hamoud, Badr Saleh Al-Abdi, Faisal A. M. Ali, Jayashree Patil, and Alaa A. Abdallah
World Scientific and Engineering Academy and Society (WSEAS)
The common fixed point for self-contractive mappings in cone 2-metric spaces over Banach algebra is established in this study. The acquired results enhance and generalise the corresponding conclusions from the literature. A numerical example and a counterexample were then provided at the end.
Ahmed A. Hamoud, Amol D. Khandagale, Rasool Shah, and Kirtiwant P. Ghadle
L and H Scientific Publishing, LLC
Abdulrahman A. Sharif, Ahmed A. Hamoud, and Kirtiwant P. Ghadle
L and H Scientific Publishing, LLC
Ahmed A. Hamoud and Abdulrahman A. Sharif
L and H Scientific Publishing, LLC
Mohammed M. A. Almazah, Basel Hardan, Ahmed A. Hamoud, and Faisal A. M. Ali
Hindawi Limited
In this article, the existence and uniqueness of a fixed point were investigated using the concept of σ , γ -contractive in the context of Hausdorff metric space. A well-known Caristi type is primarily generalized by the new results. The result is improved by building up an example.
Basel Hardan, Jayashree Patil, Ahmed A. Hamoud, and Amol Bachhav
L and H Scientific Publishing, LLC
Ahmed A. Hamoud, Nedal M. Mohammed, Homan Emadifar, Foroud Parvaneh, Faraidum K. Hamasalh, Soubhagya Kumar Sahoo, and Masoumeh Khademi
Korean Institute of Intelligent Systems
Hatıra Günerhan, Hadi Rezazadeh, Waleed Adel, Mohammad Hatami, Kulandairaj Martin Sagayam, Homan Emadifar, Muhammad Imran Asjad, Faraidun K Hamasalh, and Ahmed A Hamoud
SAGE Publications
In this paper, the fractional smoking epidemic model is presented. The model is presented in terms of Caputo’s fractional derivation. The fractional differential transformation method (FDTM) is presented to find an approximate analytical solution to the model. The method is tested on the model and the solution is compared with the homotopy transform method. The method shows the form of fast converging series and the results prove the applicability of the proposed technique, which gives accurate results.
Mawia Osman, Yonghui Xia, Omer Abdalrhman Omer, and Ahmed Hamoud
MDPI AG
In this article, we present the fuzzy Adomian decomposition method (ADM) and fuzzy modified Laplace decomposition method (MLDM) to obtain the solutions of fuzzy fractional Navier–Stokes equations in a tube under fuzzy fractional derivatives. We have looked at the turbulent flow of a viscous fluid in a tube, where the velocity field is a function of only one spatial coordinate, in addition to time being one of the dependent variables. Furthermore, we investigate the fuzzy Elzaki transform, and the fuzzy Elzaki decomposition method (EDM) applied to solving fuzzy linear-nonlinear Schrodinger differential equations. The proposed method worked perfectly without any need for linearization or discretization. Finally, we compared the fuzzy reduced differential transform method (RDTM) and fuzzy homotopy perturbation method (HPM) to solving fuzzy heat-like and wave-like equations with variable coefficients. The RDTM and HPM solutions are simpler than other already existing methods. Several examples are provided to illustrate the methods that have been offered. The results obtained using the scheme presented here agree well with the analytical solutions and the numerical results presented elsewhere. These studies are important in the context of the development of the theory of fuzzy partial differential equations.
Jayashree Patil, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, Afshin Ghanizadeh, Seyyed Ahmad Edalatpanah, and Hooshmand Azizi
Hindawi Limited
In this paper, we give a concept of η , γ f , g -contraction in the setting of expanded b –metric spaces and discuss the existence and uniqueness of a common fixed point. Introduced results generalize well-known fixed point theorems on contraction conditions and in the given spaces.
Jayshree Patil, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, and Hatira Günerhan
Hindawi Limited
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Bidemi Olumide Falodun, Adeola John Omowaye, Funmilayo Helen Oyelami, Homan Emadifar, Ahmed A. Hamoud, and S. M. Atif
Hindawi Limited
The Cattaneo-Christov model will be used to examine the significance of heat generation, viscous dissipation, and thermal radiation on a double-diffusive MHD flow in this study. In this study, it was discovered that heat and mass transfer can be affected by nonlinear buoyancy significance. The flow direction was subjected to a uniform magnetic field. A set of partial differential equations governs the current design (PDEs). In order to simplify these equations, they are converted into ordinary differential equations (ODEs). In order to numerically solve the nonlinear ODEs, the spectral relaxation method (SRM) is utilized. In order to decouple and linearize the equation sets, the SRM employs the Gauss-Seidel relaxation method. Geothermal power generation and underground storage systems are just a few examples where this research could be put to use. When compared to previous findings, the current outcomes were discovered to be closely related. Owing to an increase in Lorentz force, the imposed magnetic field slows down fluid motion. Viscosity dissipation and heat generation all contribute to the formation of an ever-thicker thermal boundary layer. When the Cattaneo-Christov models are used, the thermal and concentration boundary layers get a lot thicker.
Jayashree Patil, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, and Homan Emadifar
Walter de Gruyter GmbH
Abstract In this work, a new common fixed point result by generalized contractive functions fulfilling the type of admissibility condition in a Hausdorff Branciari metric space with the support of C-functions, was obtained.
Jayshree Patil, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, and Hatira Günerhan
Hindawi Limited
In this paper, we introduce new coincidence fixed point theorems for generalized ϕ , ψ -contractive mappings fulfilling kind of an admissibility provision in a Hausdorff b -rectangular metric space with the support of C-functions. We applied our results to establish the existence of a solution for some integralitions. Finally, an example is presented to clarify our theorem.
Artion Kashuri, Soubhagya Kumar Sahoo, Bibhakar Kodamasingh, Muhammad Tariq, Ahmed A. Hamoud, Homan Emadifar, Faraidun K. Hamasalh, Nedal M. Mohammed, and Masoumeh Khademi
Hindawi Limited
The main objective of this article is to introduce the notion of n –polynomial harmonically t g s –convex function and study its algebraic properties. First, we use this notion to present new variants of the Hermite–Hadamard type inequality and related integral inequalities, as well as their fractional analogues. Further, we prove two interesting integral and fractional identities for differentiable mappings, and, using them as auxiliary results, some refinements of Hermite–Hadamard type integral inequalities for both classical and fractional versions are presented. Finally, in order to show the efficiency of our results, some applications for special means and error estimations are obtained as well.