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001-es BibID:	BIBFORM115461
035-os BibID:	(WoS)001093257400001 (Scopus)85174721651
Első szerző:	Ahmad, Imtiaz
Cím:	Computational analysis of time-fractional models in energy infrastructure applications / Imtiaz Ahmad, Asmidar Abu Bakar, Ihteram Ali, Sirajul Haq, Salman Yussof, Ali Hasan Ali
Dátum:	2023
ISSN:	1110-0168 2090-2670
Megjegyzések:	In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative. The presented approach employs a hybrid method that combines Lucas and Fibonacci polynomials with the Caputo derivative definition. The main objective is to transform the problem into a time-discrete form utilizing the Caputo derivative technique and then approximate the function`s derivative using Fibonacci polynomials. To evaluate the efficiency and accuracy of the proposed technique, we apply it to one- and two-dimensional problems and compare the results with the exact as well as with existing methods in recent literature. The comparison demonstrates that the proposed approach is highly efficient, accurate and ease to implement.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Caputo derivative Convection-diffusion equation Finite differences Lucas polynomials Fibonacci polynomials energy infrastructure
Megjelenés:	Alexandria Engineering Journal. - 82 (2023), p. 426-436. -
További szerzők:	Bakar, Asmidar Abu Ali, Ihteram Haq, Sirajul Yussof, Salman Ali, Ali Hasan (1989-) (matematikus)
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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001-es BibID:	BIBFORM114356
035-os BibID:	(WoS)001096077100001 (Scopus)85171733833
Első szerző:	Alalhareth, Fawaz K.
Cím:	Analysis of Leptospirosis transmission dynamics with environmental effects and bifurcation using fractional-order derivative / Fawaz K. Alalhareth, Usama Atta, Ali Hasan Ali, Aqeel Ahmad, Mohammed H. Alharbi
Dátum:	2023
ISSN:	1110-0168 2090-2670
Megjegyzések:	Mathematical formulations are essential tool to show the dynamics that how various diseases spread in the community. Differential equations with fractional or integer order can be utilized to see the effect of the dynamics direct or indirect Leptospirosis transmission, which are analyzed with different aspects. A mathematical description and dynamical sketch of Leptospirosis with environmental effects have been studied as a result of the successful efforts of various writers. In this study, we analyzed the Leptospirosis model described using a nonlinear fractional-order differential equation that takes the environmental effects into consideration. The proposed fractional order system is investigated qualitatively as well as quantitatively to identify its stable position. Local stability of the Leptospirosis system is verified and test the system with flip bifurcation. Also system is investigated for global stability using Lyapunov first and second derivative functions. The existence, boundedness and positivity of the Leptospirosis is checked, which are the key properties for such of type of epidemic problem to identify reliable findings. Effect of global derivative is demonstrated to verify its rate of effects according to their sub-compartments. Solutions for fractional order system are derived with the help of advanced tool fractal fractional operator for different fractional values. Simulation are carried out to see symptomatic as well as a asymptomatic effects of Leptospirosis in the world wide, also show the actual behavior of Leptospirosis which will be helpful to understand the outbreak of Leptospirosis with environmental effects as well as for future prediction and control strategies.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Leptospirosis fractional order differential equation Boundedness Positiveness Global derivative Lyapunov function Bifurcation
Megjelenés:	Alexandria Engineering Journal. - 80 (2023), p. 372-382. -
További szerzők:	Atta, Usama Ali, Ali Hasan (1989-) (matematikus) Ahmad, Aqeel Alharbi, Mohammed H.
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001-es BibID:	BIBFORM115246
035-os BibID:	(WoS)001093275900001 (Scopus)85173320410
Első szerző:	Inc, Mustafa
Cím:	Exploring the solitary wave solutions of Einstein's vacuum field equation in the context of ambitious experiments and space missions / Mustafa Inc, Muhammad S. Iqbal, Muhammad Z. Baber, Muhammad Qasim, Zafar Iqbal, Muhammad Akhtar Tarar, Ali Hasan Ali
Dátum:	2023
ISSN:	1110-0168 2090-2670
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk
Megjelenés:	Alexandria Engineering Journal. - 82 (2023), p. 186-194. -
További szerzők:	Iqbal, Muhammad S. Baber, Muhammad Z. Qasim, Muhammad Iqbal, Zafar Tarar, Muhammad Akhtar Ali, Ali Hasan (1989-) (matematikus)
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001-es BibID:	BIBFORM119575
Első szerző:	Rehman, Siddiq Ur
Cím:	A comparative analysis of Noyes-Field model for the non-linear Belousov-Zhabotinsky reaction using two reliable techniques / Siddiq Ur Rehman, Rashid Nawaz, Faisal Zia, Nicholas Fewster-Young, Ali Hasan Ali
Dátum:	2024
ISSN:	1110-0168 2090-2670
Megjegyzések:	Within the domain of nonlinear dynamics, the Belousov-Zhabotinsky reaction system has consistently captivated researchers, sustaining its position as a vibrant and dynamic area of exploration. As an enduring subject of study, the Belousov-Zhabotinsky system provides continuous opportunities to unravel the foundational tenets of nonlinear dynamics within intricate systems. In our quest to deepen comprehension of this complex system, we introduce an innovative methodology for addressing the time fractional Belousov-Zhabotinsky system. This novel approach leverages both the Natural Transform Iterative Method (NTIM) and the Optimal Homotopy Asymptotic Method (OHAM), aiming to contribute novel insights and methodologies to the ongoing discourse surrounding this intriguing and influential area of research. We obtained a series solution to test the accuracy of the suggested approach. The proposed technique has the advantage of requiring few calculations while producing high-precision results. To help you better understand, 2D and 3D graphical representations are provided to demonstrate the model`s behavior and how changing the fractional order derivative in Caputo`s sense and time affects the solutions.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Belousov-Zhabotinsky system Natural transform iterative method Caputo operator Optimal homotopy asymptotic method
Megjelenés:	Alexandria Engineering Journal. - 93 (2024), p. 259-279. -
További szerzők:	Nawaz, Rashid Zia, Faisal Fewster-Young, Nicholas Ali, Ali Hasan (1989-) (matematikus)
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