Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Fahir Talay Akyildiz"'
Autor:
Cemil Tunç, Fahir Talay Akyildiz
Publikováno v:
Mathematics, Vol 12, Iss 18, p 2799 (2024)
We take into account a nonlinear Caputo fractional-order differential equation including several variable delays. We examine whether the solutions to the Caputo fractional-order differential equation taken under consideration, which has numerous vari
Externí odkaz:
https://doaj.org/article/e89c10b2de064ae593701016d244c8d6
Publikováno v:
Mathematics, Vol 12, Iss 11, p 1742 (2024)
In this study, we introduced a new type of basis function and subsequently a Chebyshev delta shaped collocation method (CDSC). We then use this method to numerically investigate both the natural convective flow and heat transfer of nanofluids in a ve
Externí odkaz:
https://doaj.org/article/625e5509bc2c4505b0ff70c8e9b5596a
Autor:
Cemil Tunç, Fahir Talay Akyildiz
Publikováno v:
Journal of Mathematics, Vol 2024 (2024)
In this article, we consider nonlinear neutral Volterra integro-differential equations (NVIDEs) including infinite delay. We prove three new theorems with regard to the stability, the uniform stability, and the instability of zero solution of the NVI
Externí odkaz:
https://doaj.org/article/eadf1feb63d94ab08e6725dcc835550e
Publikováno v:
Symmetry, Vol 15, Iss 12, p 2205 (2023)
The authors deal with nonlinear and general Hammerstein-type functional integral equations (HTFIEs). The first objective of this work is to apply and extend Burton’s method to general and nonlinear HTFIEs in a Banach space via the Chebyshev norm an
Externí odkaz:
https://doaj.org/article/ba726bb04c6946bfb7cd7d6164f7ba18
Publikováno v:
Mathematics, Vol 11, Iss 18, p 3876 (2023)
The worldwide data for COVID-19 for active, infected individuals in multiple waves show that traditional epidemic models with constant parameters are not able to capture this kind of disease behavior. We solved this major open mathematical problem in
Externí odkaz:
https://doaj.org/article/c137849526f9452fa05d1a5d0d440ab9
Autor:
Fehaid Salem Alshammari, Fahir Talay Akyildiz, Muhammad Altaf Khan, Anwarud Din, Pongsakorn Sunthrayuth
Publikováno v:
Symmetry, Vol 14, Iss 12, p 2521 (2022)
Natural symmetry exists in several phenomena in physics, chemistry, and biology. Incorporating these symmetries in the differential equations used to characterize these processes is thus a valid modeling assumption. The present study investigates COV
Externí odkaz:
https://doaj.org/article/cfebb66973084a53bd70b24ffe6c928c
Publikováno v:
Quarterly of Applied Mathematics. 73:553-574
The eigenvalue problem of holomorphic functions on the unit disc for the third boundary condition with general coefficient is studied using Fourier analysis. With a general anti-polynomial coefficient a variable number of additional boundary conditio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a38902c2ce0625000958ee5add75c9e
https://doi.org/10.1090/qam/1419
https://doi.org/10.1090/qam/1419
Publikováno v:
Mathematical Methods in the Applied Sciences. 36:2397-2402
This paper analyzes the existence and the uniqueness problem for an n-dimensional nonlinear inverse reaction-diffusion problem with a nonlinear source. A transformation is used to obtain a new inverse coefficient problem. Then, a parabolic differenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61e76efa517f30fbf1da84cb19c1727d
https://doi.org/10.1002/mma.2765
https://doi.org/10.1002/mma.2765
Publikováno v:
Acta Applicandae Mathematicae. 119:23-42
We assume that ? is a domain in ?2 or in ?3 with a non-compact boundary, representing a generally inhomogeneous and anisotropic porous medium. We prove the weak solvability of the boundary-value problem, describing the steady motion of a viscous inco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b24e821b95455afcd520c84f88a86e3
https://doi.org/10.1007/s10440-011-9659-x
https://doi.org/10.1007/s10440-011-9659-x
Publikováno v:
Journal of Porous Media. 14:81-90
Fully developed forced convection in porous-saturated ducts of rectangular cross sections is considered on the basis of the Brinkman-Forchheimer model. The set of semilinear Brinkman-Forchheimer momentum balance and energy equations is solved analyti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::288495cc28c07cef8543d50b5a161082
https://doi.org/10.1615/jpormedia.v14.i1.70
https://doi.org/10.1615/jpormedia.v14.i1.70