This paper is devoted to introduce an analytical method for solving generalized fractional kineti... more This paper is devoted to introduce an analytical method for solving generalized fractional kinetic equation in terms of the generalized 4 K-function, the generalized M-Series and the generalized Mittag-Leffler type function, this method is depending on Laplace transform operator technique.
Journal of Mathematical and Computational Science, 2014
This paper is devoted to introduce a new generalized 4 K-function in terms of some special functi... more This paper is devoted to introduce a new generalized 4 K-function in terms of some special functions. The differ-integration of this function is also investigated. A method for deriving the solution of the generalized fractional kinetic equation in term of the generalized 4
Asian Journal of Fuzzy and Applied Mathematics, Oct 1, 2014
This paper is devoted for the study of a new generalization of M-series. Its various properties i... more This paper is devoted for the study of a new generalization of M-series. Its various properties including differentiation, recurrence relation, Laplace transform, Beta transform, Mellin transform, Generalized hypergeometric series form, Mellin Barnes integral representationand its relationship with Fox's H-function and Wright hypergeometric function are investigated and established. The integral operator , , ;m,n, , p q w c M containing the generalized M-Series
This paper is devoted to study further properties of generalized Mittag-Leffler functionEα,β,pγ,δ... more This paper is devoted to study further properties of generalized Mittag-Leffler functionEα,β,pγ,δ,qassociated with Weyl fractional integral and differential operators. A new integral operatorℰα,β,p,w,∞γ,δ,qdepending on Weyl fractional integral operator and containingEα,β,pγ,δ,q(z)in its kernel is defined and studied, namely, its boundedness. Also, composition of Weyl fractional integral and differential operators with the new operatorℰα,β,p,w,∞γ,δ,qis established.
Asian Journal of Biochemistry, Genetics and Molecular Biology
Aims: This study aimed to investigate the lipids profile, APOA genotype with malaria infection. I... more Aims: This study aimed to investigate the lipids profile, APOA genotype with malaria infection. It was hypothesized that the malaria parasite uses cholesterol and phospholipids from its host, resulting in a decrease in serum HDL. Study Design: A cross-sectional hospital -based study. Place and Duration of Study: The study was conducted during the transmission season between July to November 2020 in different hospitals and centers in Elfasher city. Methodology: We included (39 men and 64 female), 57.3% were adults and 42.7% were children, plasmodium falciparum infection, with clinical symptoms and signs of uncomplicated malaria. Parasites density, lipids profile and APOA genotyping were assayed. Results: The mean level of CHOL and TG was 134.7 mg/dl and 73.0 mg/dl, respectively, and the average levels of LDL and HDL are 56.6 mg/dl and 56.2 mg/dl, respectively. The G/G genotypes of APOA were identified in 94.2% of the patients compared to other APOA genotypes. The overall allele freq...
This paper is devoted to introduce an analytical method for solving generalized fractional kineti... more This paper is devoted to introduce an analytical method for solving generalized fractional kinetic equation in terms of the generalized 4 K-function, the generalized M-Series and the generalized Mittag-Leffler type function, this method is depending on Laplace transform operator technique.
Journal of Mathematical and Computational Science, 2014
This paper is devoted to introduce a new generalized 4 K-function in terms of some special functi... more This paper is devoted to introduce a new generalized 4 K-function in terms of some special functions. The differ-integration of this function is also investigated. A method for deriving the solution of the generalized fractional kinetic equation in term of the generalized 4
Asian Journal of Fuzzy and Applied Mathematics, Oct 1, 2014
This paper is devoted for the study of a new generalization of M-series. Its various properties i... more This paper is devoted for the study of a new generalization of M-series. Its various properties including differentiation, recurrence relation, Laplace transform, Beta transform, Mellin transform, Generalized hypergeometric series form, Mellin Barnes integral representationand its relationship with Fox's H-function and Wright hypergeometric function are investigated and established. The integral operator , , ;m,n, , p q w c M containing the generalized M-Series
This paper is devoted to study further properties of generalized Mittag-Leffler functionEα,β,pγ,δ... more This paper is devoted to study further properties of generalized Mittag-Leffler functionEα,β,pγ,δ,qassociated with Weyl fractional integral and differential operators. A new integral operatorℰα,β,p,w,∞γ,δ,qdepending on Weyl fractional integral operator and containingEα,β,pγ,δ,q(z)in its kernel is defined and studied, namely, its boundedness. Also, composition of Weyl fractional integral and differential operators with the new operatorℰα,β,p,w,∞γ,δ,qis established.
Asian Journal of Biochemistry, Genetics and Molecular Biology
Aims: This study aimed to investigate the lipids profile, APOA genotype with malaria infection. I... more Aims: This study aimed to investigate the lipids profile, APOA genotype with malaria infection. It was hypothesized that the malaria parasite uses cholesterol and phospholipids from its host, resulting in a decrease in serum HDL. Study Design: A cross-sectional hospital -based study. Place and Duration of Study: The study was conducted during the transmission season between July to November 2020 in different hospitals and centers in Elfasher city. Methodology: We included (39 men and 64 female), 57.3% were adults and 42.7% were children, plasmodium falciparum infection, with clinical symptoms and signs of uncomplicated malaria. Parasites density, lipids profile and APOA genotyping were assayed. Results: The mean level of CHOL and TG was 134.7 mg/dl and 73.0 mg/dl, respectively, and the average levels of LDL and HDL are 56.6 mg/dl and 56.2 mg/dl, respectively. The G/G genotypes of APOA were identified in 94.2% of the patients compared to other APOA genotypes. The overall allele freq...
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Papers by Jamal Ismail