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001-es BibID:	BIBFORM109438
035-os BibID:	(cikkazonosító)662 (Scopus)85152643373 (WoS)000959009300001
Első szerző:	Al-Ghafri, Khalil S.
Cím:	Symmetrical Solutions for Non-Local Fractional Integro-Differential Equations via Caputo-Katugampola Derivatives / Khalil S. Al-Ghafri, Awad T. Alabdala, Saleh S. Redhwan, Omar Bazighifan, Ali Hasan Ali, Loredana Florentina Iambor
Dátum:	2023
ISSN:	2073-8994
Megjegyzések:	Fractional calculus, which deals with the concept of fractional derivatives and integrals, has become an important area of research, due to its ability to capture memory effects and non-local behavior in the modeling of real-world phenomena. In this work, we study a new class of fractional Volterra-Fredholm integro-differential equations, involving the Caputo-Katugampola fractional derivative. By applying the Krasnoselskii and Banach fixed-point theorems, we prove the existence and uniqueness of solutions to this problem. The modified Adomian decomposition method is used, to solve the resulting fractional differential equations. This technique rapidly provides convergent successive approximations of the exact solution to the given problem; therefore, we investigate the convergence of approximate solutions, using the modified Adomian decomposition method. Finally, we provide an example, to demonstrate our results. Our findings contribute to the current understanding of fractional integro-differential equations and their solutions, and have the potential to inform future research in this area.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Katugampola operator uniqueness of solutions Banach space integro-differential equations existence theorem Adomian decomposition fractional operator fixed point
Megjelenés:	Symmetry. - 15 : 3 (2023), p. 1-15. -
További szerzők:	Alabdala, Awad T. Redhwan, Saleh S. Bazighifan, Omar Ali, Ali Hasan (1989-) (matematikus) Iambor, Loredana Florentina
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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001-es BibID:	BIBFORM105256
035-os BibID:	(cikkazonosító)2424 (WoS)000895083900001 (Scopus)85145336515
Első szerző:	Khan, Fareeha Sami
Cím:	Freelance Model with Atangana-Baleanu Caputo Fractional Derivative / Fareeha Sami Khan, M. Khalid, Areej A. Al-moneef, Ali Hasan Ali, Omar Bazighifan
Dátum:	2022
ISSN:	2073-8994
Megjegyzések:	As technology advances and the Internet makes our world a global village, it is important to understand the prospective career of freelancing. A novel symmetric fractional mathematical model is introduced in this study to describe the competitive market of freelancing and the significance of information in its acceptance. In this study, fixed point theory is applied to analyze the uniqueness and existence of the fractional freelance model. Its numerical solution is derived using the fractional Euler's method, and each case has been presented graphically as well as tabular. Further, the results have been compared with the classic freelance model and real data to show the importance of this model. As technology advances and the Internet makes our world a global village, it is important to understand the prospective career of freelancing. A novel symmetric fractional mathematical model is introduced in this study to describe the competitive market of freelancing and the significance of information in its acceptance. In this study, fixed point theory is applied to analyze the uniqueness and existence of the fractional freelance model. Its numerical solution is derived using the fractional Euler`s method, and each case has been presented graphically as well as tabular. Further, the results have been compared with the classic freelance model and real data to show the importance of this model.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Atangana-Baleanu fractional derivative local stability differential equation uniqueness and existence fractional Euler's method numerical method
Megjelenés:	Symmetry. - 14 : 11 (2022), p. 1-13. -
További szerzők:	Khalid, M. Al-Moneef, Areej A. Ali, Ali Hasan (1989-) (matematikus) Bazighifan, Omar
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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001-es BibID:	BIBFORM103133
035-os BibID:	(cikkazonosító)1653
Első szerző:	Sultana, Mariam
Cím:	New Efficient Computations with Symmetrical and Dynamic Analysis for Solving Higher-Order Fractional Partial Differential Equations / Mariam Sultana, Uroosa Arshad, Ali Hasan Ali, Omar Bazighifan, Areej A. Al-Moneef, Kamsing Nonlaopon
Dátum:	2022
ISSN:	2073-8994
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk
Megjelenés:	Symmetry. - 14 : 8 (2022), p. 1-16. -
További szerzők:	Arshad, Uroosa Ali, Ali Hasan (1989-) (matematikus) Bazighifan, Omar Al-Moneef, Areej A. Nonlaopon, Kamsing
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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