Indoor Environmental Quality (IEQ) is criteria used to rate green buildings and directly deals wi... more Indoor Environmental Quality (IEQ) is criteria used to rate green buildings and directly deals with comfort and health indicator of humans in green and high-performance buildings. The primary aim of building is for human comfort and satisfaction with each component. This paper is a result of an exploratory study carried out for an ongoing PhD research. A cross-sectional survey of occupants in an open plan office for 44 post graduate students, in the Faculty of Built Environment (FAB) Universiti Teknologi Malaysia (UTM) was examined. The respondents completed a set of questionnaire centred on the experience on the four criteria for Indoor Environmental Quality (IEQ) as rated by the Green Building Index (GBI) Malaysia with focus on visual comfort. Measurements were taken at eight random locations within the workstation in relation to visual comfort. The questionnaire addressed issues such as visual privacy and colour rendering. Issues of visual discomfort were raised, irritability, headache, dry eyes, flickering from fluorescent and social density. The data generated showed a high probability of visual discomfort as the recommended average illuminace level for lighting for working interiors (300lux-400lux) was not attained from the data generated. This shows that there is a need for sensitization of stakeholders on the use of the GBI for new and renovated buildings to reduce the negative impact buildings would have on human and the environment in general. [Sa'id, E. A., Dodo, Y. A., Mohd Zin, K. Ahmad, M. H. Correlating Visual Comfort with Green Building Index in an Office Space. Life Sci J 2014;11(10):908-912]. (ISSN:1097-8135). http://www.lifesciencesite.com. 142
Basically, the law works by providing boundaries. In the context of law enforcement by the police... more Basically, the law works by providing boundaries. In the context of law enforcement by the police, the constraints in the form of control over the police in freedom Protect the order or stop crime. But there is a different reality when police faced with a reality in which the law could not answer the problem. In this position the use of discretion by police do legal interpretation as a bridge between the law with social objectives. The question that arises then is used is not appropriate discretion and not in accordance with the purposes of the law itself. The benchmark police discretion based on common interests or the interests of society at the level of practice is still very abstract to be applied in the implementation of police discretion related to criminal law enforcement policy. Because the benchmark Criteria or public interest in the use of police discretion are still abstract, causing authorities use discretion in some cases criminal process misapplied. Keywords: Discretio...
This article concerns the existence and Ulam stabilities for a class of random integral equations... more This article concerns the existence and Ulam stabilities for a class of random integral equations via Hadamard’s fractional integral. Our main tools is a random fixed point theorem with stochastic domain.
This paper deals with some existence and Ulam stability results for a class of partial integral e... more This paper deals with some existence and Ulam stability results for a class of partial integral equations via Hadamard's fractional integral, by applying Schauder's fixed-point theorem. Mathematics Subject Classification 34A08 • 34K05 1 Introduction The fractional calculus represents a powerful tool in applied mathematics to study many problems from different fields of science and engineering, with many breakthroughs in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering [13,27]. There has been a significant development in ordinary and partial fractional differential and integral equations in recent years; see the monographs of Abbas et al. [3,4], Kilbas et al. [19], Miller and Ross [20], the papers of Abbas and Benchohra [1,2], Abbas et al. [5], Benchohra et al. [6], Vityuk [29], Vityuk and Golushkov [30] and the references therein. In [8], Butzer et al. investigated properties of the Hadamard fractional integral and the derivative. In [9], they obtained the Mellin transforms of the Hadamard fractional integral and differential operators and in [22], Pooseh et al. obtained expansion formulas of the Hadamard operators in terms of integer-order derivatives.
Proceedings of the Edinburgh Mathematical Society, 2000
We investigate the growth and the frequency of zeros of the solutions of the differential equatio... more We investigate the growth and the frequency of zeros of the solutions of the differential equation f(n) + Pn–1 (z) f(n–1) + … + P0 (z) f = H (z), where P0 (z), P1(z), …, Pn–1(z) are polynomials with P0 (z) ≢ 0, and H (z) ≢ 0 is an entire function of finite order.
Bulletin of the Belgian Mathematical Society - Simon Stevin
In this paper, we investigate the order and the hyper order of entire solutions of the higher ord... more In this paper, we investigate the order and the hyper order of entire solutions of the higher order linear differential equation f (k) +A k−1 (z) e P k−1 (z) f (k−1) +...+A1 (z) e P 1 (z) f +A0 (z) e P 0 (z) f = 0 (k ≥ 2) , where Pj (z) (j = 0, ..., k − 1) are nonconstant polynomials such that deg Pj = n (j = 0, ..., k − 1) and Aj (z) (≡ 0) (j = 0, ..., k − 1) are entire functions with ρ (Aj) < n (j = 0, ..., k − 1). Under some conditions, we prove that every solution f (z) ≡ 0 of the above equation is of infinite order and ρ2 (f) = n.
Advances in the Theory of Nonlinear Analysis and its Application
This work deals with a class of Hilfer-Hadamard differential equations. Existence and stability o... more This work deals with a class of Hilfer-Hadamard differential equations. Existence and stability of solutions are presented. We use an appropriate fixed point theorem.
This article studies the existence of solutions and extremal solutions to partial hyperbolic diff... more This article studies the existence of solutions and extremal solutions to partial hyperbolic differential equations of fractional order with impulses in Banach algebras under Lipschitz and Carathéodory conditions and certain monotonicity conditions.
Fractional integral-differential equations Riemann-Liouville fractional operators Existence and s... more Fractional integral-differential equations Riemann-Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann-Liouville Volterra-Stieltjes quadratic integral equations of fractional order. Our results are obtained by using some fixed point theorems. Some examples are provided to illustrate the main results.
Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann... more Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann–Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann–Liouville Volterra–Stieltjes quadratic integral equations of fractional order. Our results are obtained by using some fixed point theorems. Some examples are provided to illustrate the main results.
This article concerns the existence and Ulam stabilities for a class of random integral equations... more This article concerns the existence and Ulam stabilities for a class of random integral equations via Hadamard's fractional integral. Our main tools is a random fixed point theorem with stochastic domain.
This paper deals with some existence and Ulam stability results for a class of partial integral e... more This paper deals with some existence and Ulam stability results for a class of partial integral equations via Hadamard's fractional integral, by applying Schauder's fixed-point theorem.
In this paper, we investigate the growth and the complex oscillation theory of the linear differe... more In this paper, we investigate the growth and the complex oscillation theory of the linear differential equation f (k) + A k−1 f (k−1) + ...+ A 1 f + A 0 f = F , where A 0 , A 1 , ..., A k−1 , F / ≡ 0 are entire functions. We improve some results due to Z. X. Chen and S. A. Gao.
In this paper, we investigate the order and the hyper order of entire solutions of the higher ord... more In this paper, we investigate the order and the hyper order of entire solutions of the higher order linear differential equation f (k) +A k−1 (z) e P k−1 (z) f (k−1) +...+A1 (z) e P 1 (z) f +A0 (z) e P 0 (z) f = 0 (k ≥ 2) , where Pj (z) (j = 0, ..., k − 1) are nonconstant polynomials such that deg Pj = n (j = 0, ..., k − 1) and Aj (z) (≡ 0) (j = 0, ..., k − 1) are entire functions with ρ (Aj) < n (j = 0, ..., k − 1). Under some conditions, we prove that every solution f (z) ≡ 0 of the above equation is of infinite order and ρ2 (f) = n.
In this paper we investigate the existence of solutions for functional partial perturbed hyperbol... more In this paper we investigate the existence of solutions for functional partial perturbed hyperbolic differential equations with fractional order. These results are based upon a fixed point theorem for the sum of contraction and compact operators.
... ABBAS SAID; Laboratoire de Mathematiques, Universite de Saida. BENCHOHRA MOUFFAK; Laboratoire... more ... ABBAS SAID; Laboratoire de Mathematiques, Universite de Saida. BENCHOHRA MOUFFAK; Laboratoire de Mathematiques, Universite de Sidi Bel-Abbes. GORNIEWICZ LECH; Institute of Mathematics of Kazimierz Wielki University. 参考文献: 34件. 本文を読む／探す. ...
Indoor Environmental Quality (IEQ) is criteria used to rate green buildings and directly deals wi... more Indoor Environmental Quality (IEQ) is criteria used to rate green buildings and directly deals with comfort and health indicator of humans in green and high-performance buildings. The primary aim of building is for human comfort and satisfaction with each component. This paper is a result of an exploratory study carried out for an ongoing PhD research. A cross-sectional survey of occupants in an open plan office for 44 post graduate students, in the Faculty of Built Environment (FAB) Universiti Teknologi Malaysia (UTM) was examined. The respondents completed a set of questionnaire centred on the experience on the four criteria for Indoor Environmental Quality (IEQ) as rated by the Green Building Index (GBI) Malaysia with focus on visual comfort. Measurements were taken at eight random locations within the workstation in relation to visual comfort. The questionnaire addressed issues such as visual privacy and colour rendering. Issues of visual discomfort were raised, irritability, headache, dry eyes, flickering from fluorescent and social density. The data generated showed a high probability of visual discomfort as the recommended average illuminace level for lighting for working interiors (300lux-400lux) was not attained from the data generated. This shows that there is a need for sensitization of stakeholders on the use of the GBI for new and renovated buildings to reduce the negative impact buildings would have on human and the environment in general. [Sa&#39;id, E. A., Dodo, Y. A., Mohd Zin, K. Ahmad, M. H. Correlating Visual Comfort with Green Building Index in an Office Space. Life Sci J 2014;11(10):908-912]. (ISSN:1097-8135). http://www.lifesciencesite.com. 142
Basically, the law works by providing boundaries. In the context of law enforcement by the police... more Basically, the law works by providing boundaries. In the context of law enforcement by the police, the constraints in the form of control over the police in freedom Protect the order or stop crime. But there is a different reality when police faced with a reality in which the law could not answer the problem. In this position the use of discretion by police do legal interpretation as a bridge between the law with social objectives. The question that arises then is used is not appropriate discretion and not in accordance with the purposes of the law itself. The benchmark police discretion based on common interests or the interests of society at the level of practice is still very abstract to be applied in the implementation of police discretion related to criminal law enforcement policy. Because the benchmark Criteria or public interest in the use of police discretion are still abstract, causing authorities use discretion in some cases criminal process misapplied. Keywords: Discretio...
This article concerns the existence and Ulam stabilities for a class of random integral equations... more This article concerns the existence and Ulam stabilities for a class of random integral equations via Hadamard’s fractional integral. Our main tools is a random fixed point theorem with stochastic domain.
This paper deals with some existence and Ulam stability results for a class of partial integral e... more This paper deals with some existence and Ulam stability results for a class of partial integral equations via Hadamard's fractional integral, by applying Schauder's fixed-point theorem. Mathematics Subject Classification 34A08 • 34K05 1 Introduction The fractional calculus represents a powerful tool in applied mathematics to study many problems from different fields of science and engineering, with many breakthroughs in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering [13,27]. There has been a significant development in ordinary and partial fractional differential and integral equations in recent years; see the monographs of Abbas et al. [3,4], Kilbas et al. [19], Miller and Ross [20], the papers of Abbas and Benchohra [1,2], Abbas et al. [5], Benchohra et al. [6], Vityuk [29], Vityuk and Golushkov [30] and the references therein. In [8], Butzer et al. investigated properties of the Hadamard fractional integral and the derivative. In [9], they obtained the Mellin transforms of the Hadamard fractional integral and differential operators and in [22], Pooseh et al. obtained expansion formulas of the Hadamard operators in terms of integer-order derivatives.
Proceedings of the Edinburgh Mathematical Society, 2000
We investigate the growth and the frequency of zeros of the solutions of the differential equatio... more We investigate the growth and the frequency of zeros of the solutions of the differential equation f(n) + Pn–1 (z) f(n–1) + … + P0 (z) f = H (z), where P0 (z), P1(z), …, Pn–1(z) are polynomials with P0 (z) ≢ 0, and H (z) ≢ 0 is an entire function of finite order.
Bulletin of the Belgian Mathematical Society - Simon Stevin
In this paper, we investigate the order and the hyper order of entire solutions of the higher ord... more In this paper, we investigate the order and the hyper order of entire solutions of the higher order linear differential equation f (k) +A k−1 (z) e P k−1 (z) f (k−1) +...+A1 (z) e P 1 (z) f +A0 (z) e P 0 (z) f = 0 (k ≥ 2) , where Pj (z) (j = 0, ..., k − 1) are nonconstant polynomials such that deg Pj = n (j = 0, ..., k − 1) and Aj (z) (≡ 0) (j = 0, ..., k − 1) are entire functions with ρ (Aj) < n (j = 0, ..., k − 1). Under some conditions, we prove that every solution f (z) ≡ 0 of the above equation is of infinite order and ρ2 (f) = n.
Advances in the Theory of Nonlinear Analysis and its Application
This work deals with a class of Hilfer-Hadamard differential equations. Existence and stability o... more This work deals with a class of Hilfer-Hadamard differential equations. Existence and stability of solutions are presented. We use an appropriate fixed point theorem.
This article studies the existence of solutions and extremal solutions to partial hyperbolic diff... more This article studies the existence of solutions and extremal solutions to partial hyperbolic differential equations of fractional order with impulses in Banach algebras under Lipschitz and Carathéodory conditions and certain monotonicity conditions.
Fractional integral-differential equations Riemann-Liouville fractional operators Existence and s... more Fractional integral-differential equations Riemann-Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann-Liouville Volterra-Stieltjes quadratic integral equations of fractional order. Our results are obtained by using some fixed point theorems. Some examples are provided to illustrate the main results.
Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann... more Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann–Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann–Liouville Volterra–Stieltjes quadratic integral equations of fractional order. Our results are obtained by using some fixed point theorems. Some examples are provided to illustrate the main results.
This article concerns the existence and Ulam stabilities for a class of random integral equations... more This article concerns the existence and Ulam stabilities for a class of random integral equations via Hadamard's fractional integral. Our main tools is a random fixed point theorem with stochastic domain.
This paper deals with some existence and Ulam stability results for a class of partial integral e... more This paper deals with some existence and Ulam stability results for a class of partial integral equations via Hadamard's fractional integral, by applying Schauder's fixed-point theorem.
In this paper, we investigate the growth and the complex oscillation theory of the linear differe... more In this paper, we investigate the growth and the complex oscillation theory of the linear differential equation f (k) + A k−1 f (k−1) + ...+ A 1 f + A 0 f = F , where A 0 , A 1 , ..., A k−1 , F / ≡ 0 are entire functions. We improve some results due to Z. X. Chen and S. A. Gao.
In this paper, we investigate the order and the hyper order of entire solutions of the higher ord... more In this paper, we investigate the order and the hyper order of entire solutions of the higher order linear differential equation f (k) +A k−1 (z) e P k−1 (z) f (k−1) +...+A1 (z) e P 1 (z) f +A0 (z) e P 0 (z) f = 0 (k ≥ 2) , where Pj (z) (j = 0, ..., k − 1) are nonconstant polynomials such that deg Pj = n (j = 0, ..., k − 1) and Aj (z) (≡ 0) (j = 0, ..., k − 1) are entire functions with ρ (Aj) < n (j = 0, ..., k − 1). Under some conditions, we prove that every solution f (z) ≡ 0 of the above equation is of infinite order and ρ2 (f) = n.
In this paper we investigate the existence of solutions for functional partial perturbed hyperbol... more In this paper we investigate the existence of solutions for functional partial perturbed hyperbolic differential equations with fractional order. These results are based upon a fixed point theorem for the sum of contraction and compact operators.
... ABBAS SAID; Laboratoire de Mathematiques, Universite de Saida. BENCHOHRA MOUFFAK; Laboratoire... more ... ABBAS SAID; Laboratoire de Mathematiques, Universite de Saida. BENCHOHRA MOUFFAK; Laboratoire de Mathematiques, Universite de Sidi Bel-Abbes. GORNIEWICZ LECH; Institute of Mathematics of Kazimierz Wielki University. 参考文献: 34件. 本文を読む／探す. ...
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