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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:	BIBFORM109726
035-os BibID:	(cikkazonosító)1391 (Scopus)85151510697 (WoS)000957548700001
Első szerző:	Almutairi, Alanoud
Cím:	Oscillatory Properties of Fourth-Order Advanced Differential Equations / Alanoud Almutairi, Ali Hasan Ali, Omar Bazighifan, Loredana Florentina Iambor
Dátum:	2023
ISSN:	2227-7390
Megjegyzések:	This paper presents a study on the oscillatory behavior of solutions to fourth-order advanced differential equations involving p-Laplacian-like operator. We obtain oscillation criteria using techniques from first and second-order delay differential equations. The results of this work contribute to a deeper understanding of fourth-order differential equations and their connections to various branches of mathematics and practical sciences. The findings emphasize the importance of continued research in this area.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk oscillatory behavior p-Laplace operator fourth-order equation advanced differential equations
Megjelenés:	Mathematics. - 11 : 6 (2023), p. 1-11. -
További szerzők:	Ali, Ali Hasan (1989-) (matematikus) Bazighifan, Omar Iambor, Loredana Florentina
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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001-es BibID:	BIBFORM122949
Első szerző:	Liu, Jinxing
Cím:	Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach / Jinxing Liu, Muhammad Nadeem, Ali Hasan Ali, Fawziah M. Alotaibi, Loredana Florentina Iambor
Dátum:	2024
ISSN:	1110-0168 2090-2670
Megjegyzések:	This paper investigates the analytical fuzzy findings of a two-dimensional fuzzy fractional-ordered heat problem including some source of terms under certain conditions. The Sumudu residual power series scheme (SRPSS) is an innovative novel to deal with the combine form of the Sumudu transform (ST) and the residual power series scheme (RPSS) which efficiently generate analytical results in rapidly converging series forms. The Caputo derivative is applied to model the physical problem. The most notable aspect of this algorithm is its ability to generate results quickly and without difficulty as compared to the conventional RPSS. We present three numerical cases of 2D heat problem with fuzzy fractional order to express the performance and validity of suggested scheme. Graphical analysis from the derived solutions reveals that SRPSS is straightforward, accurate, and suitable to analyze the findings of fuzzy fractional problems.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Sumudu transform Residual power series scheme Fuzzy fractional heat equation Fuzzy solution
Megjelenés:	Alexandria Engineering Journal. - 108 (2024), p. 158-168. -
További szerzők:	Nadeem, Muhammad Ali, Ali Hasan (1989-) (matematikus) Alotaibi, Fawziah M. Iambor, Loredana Florentina
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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