Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Hassan M. Serag"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 5, p 295 (2024)
This paper studies distributed optimal control for non-cooperative systems involving time-fractional hyperbolic operators. Through the application of the Lax–Milgram theorem, we confirm the existence and uniqueness of weak solutions. Central to our
Externí odkaz:
https://doaj.org/article/5585bdf81f574abf9fd45f08784c0cca
Publikováno v:
European Journal of Mathematics and Applications, Vol 3, p 20 (2023)
In the present paper, we study the existence results of positive weak solution for the fractional Fisher-Kolmogoroff steady state problem. We establish a condition under which the system under consideration has a positive weak solution. Also, we cons
Externí odkaz:
https://doaj.org/article/ec27a67b26934beda3ef33750ab83b45
Publikováno v:
Fractal and Fractional, Vol 6, Iss 10, p 559 (2022)
This paper discusses the optimal control issue for elliptic k×k cooperative fractional systems. The fractional operators are proposed in the Laplace sense. Because of the nonlocality of the Laplace fractional operators, we reformulate the issue as a
Externí odkaz:
https://doaj.org/article/4645be9f458e48cf89f61793aef35b57
Autor:
Salah A. Khafagy, Hassan M. Serag
Publikováno v:
European Journal of Mathematical Analysis, Vol 2, Pp 8-8 (2022)
In the present paper, we investigate the stability results of positive weak solution for the generalized Fisher–Kolmogoroff nonlinear stationary-state problem involving weighted p-Laplacian operator −d∆P,pu = ka(x)u[ν − υu] in Ω, Bu = 0 o
Externí odkaz:
https://doaj.org/article/e670cfe85f754075808d9f8748fd5156
Autor:
Salah A. Khafagy, Hassan M. Serag
Publikováno v:
Electronic Journal of Differential Equations, Vol 2009, Iss 81,, Pp 1-10 (2009)
In this article, we study nonlinear systems involving several p-Laplacian operators with variable coefficients. We consider the system $$ -Delta _{p_i}u_i=a_{ii}(x)|u_i|^{p_i-2}u_i -sum_{j eq i}^{n}a_{ij}(x)|u_i|^{alpha _i}|u_j|^{alpha_j}u_j+f_i(x),
Externí odkaz:
https://doaj.org/article/efd9f77a98574bc7aedc3c8e6c093a83
Autor:
Salah A. Khafagy, Hassan M. Serag
Publikováno v:
Electronic Journal of Differential Equations, Vol 2007, Iss 66, Pp 1-14 (2007)
We study the maximum principle and existence of positive solutions for the nonlinear system egin{gather*} -Delta _{p,_{P}}u=a(x)|u|^{p-2}u+b(x)|u|^{alpha }|v|^{eta }v+f quad ext{in } Omega , \ -Delta _{Q,q}v=c(x)|u|^{alpha }|v|^{eta }u+d(x)|v|^{q-2}v
Externí odkaz:
https://doaj.org/article/abcb5444470a4e1a972beb6b53706af6
Autor:
Eada A. El-Zahrani, Hassan M. Serag
Publikováno v:
Electronic Journal of Differential Equations, Vol 2006, Iss 69, Pp 1-10 (2006)
In this paper, we consider the nonlinear elliptic system $$displaylines{ -Delta_pu=a(x)|u|^{p-2}u-b(x)|u|^alpha|v|^eta v+f,cr -Delta_qv=-c(x)|u|^alpha |v|^eta u + d(x) |v|^{q-2}v +g ,cr lim_{|x|oinfty}u=lim_{|x|oinfty}v=0quad u,v>0 }$$ on a bounded a
Externí odkaz:
https://doaj.org/article/89b0021508ec4e0ab0d580df71d28e28
Autor:
Hassan M. Serag, Eada A. El-Zahrani
Publikováno v:
Electronic Journal of Differential Equations, Vol 2005, Iss 85, Pp 1-12 (2005)
In this paper, we study the following non-linear system on $mathbb{R}^N$ $$displaylines{ -Delta_pu=a(x)|u|^{p-2}u+b(x)|u|^{alpha}|v|^{eta}v+fquad xin mathbb{R}^Ncr -Delta_qv=c(x)|u|^{alpha}|v|^{eta}u+d(x)|v|^{q-2}v+g quad xin mathbb{R}^Ncr lim_{|x|oi
Externí odkaz:
https://doaj.org/article/1d5957a4392949f695681ab3c47d09d5