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Variation of Parameters Method for Solving System of NonlinearVolterra Integro-Differential Equations

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Advances in Applied Mathematics and Mechanics 2012年第2期4卷 190-204页

作者： muhammad aslam noor Khalida Inayat noor Asif Waheed Eisa Al-Said Department of Mathematics COMSATS Institute of Information TechnologyPark RoadIslamabadPakistan Department of Mathematics College of ScienceKing Saud UniversityRiyadhSaudi Arabia

It is well known that nonlinear integro-differential equations play vital role in modeling of many physical processes,such as nano-hydrodynamics,drop wise condensation,oceanography,earthquake and wind ripple in *** and motivated by these facts,we use the variation of parameters method for solving system of nonlinear Volterra integro-differential *** proposed technique is applied without any discretization,perturbation,transformation,restrictive assumptions and is free from Adomian’s *** examples are given to verify the reliability and efficiency of the proposed technique.

关键词： Variation of parameters method oceanography system of nonlinear Volterra integro-differential equations error estimates

Some New Systems of Exponentially General Equations

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Advances in Linear Algebra & Matrix Theory 2022年第3期12卷 67-86页

作者： muhammad aslam noor Khalida Inayat noor Department of Mathematics COMSATS University Islamabad Islamabad Pakistan

Some new systems of exponentially general equations are introduced and investigated, which can be used to study the odd-order, non-positive and nonsymmetric exponentially boundary value problems. Some important and interesting results such as Riesz-Frechet representation theorem, Lax-Milgram lemma and system of absolute values equations can be obtained as special cases. It is shown that the system of exponentially general equations is equivalent to nonlinear optimization problem. The auxiliary principle technique is used to prove the existence of a solution to the system of exponentially general equations. This technique is also used to suggest some new iterative methods for solving the system of the exponentially general equations. The convergence analysis of the proposed methods is analyzed. Ideas and techniques of this paper may stimulate further research.

关键词： General Equations Lax-Milgram Lemma Auxiliary Principle Iterative Method Convergence

Higher Order Strongly Biconvex Functions and Biequilibrium Problems

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Advances in Linear Algebra & Matrix Theory 2021年第2期11卷 31-53页

作者： muhammad aslam noor Khalida Inayat noor Department of Mathematics COMSATS University Islamabad Islamabad Pakistan

In this paper, we introduce and study some new classes of biconvex functions with respect to an arbitrary function and a bifunction, which are called the higher order strongly biconvex functions. These functions are nonconvex functions and include the biconvex function, convex functions, and k-convex as special cases. We study some properties of the higher order strongly biconvex functions. Several parallelogram laws for inner product spaces are obtained as novel applications of the higher order strongly biconvex affine functions. It is shown that the minimum of generalized biconvex functions on the k-biconvex sets can be characterized by a class of equilibrium problems, which is called the higher order strongly biequilibrium problems. Using the auxiliary technique involving the Bregman functions, several new inertial type methods for solving the higher order strongly biequilibrium problem are suggested and investigated. Convergence analysis of the proposed methods is considered under suitable conditions. Several important special cases are obtained as novel applications of the derived results. Some open problems are also suggested for future research.

关键词： Biconvex Functions Convex Functions kβ-Convex Functions kβ-Convex Sets Parallelogram Laws Biequilibrium Problems Bivariational Inequalities Iterative Methods Convergence Analysis

Banach空间中关于广义变分不等式的杂交投影算法

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应用数学学报 2016年第4期39卷 495-504页

作者：刘英何震 noor muhammad aslam 河北大学数学与信息科学学院保定071002 信息技术学院数学系

本文利用杂交广义投影算法引进了一迭代序列来逼近Banach空间中一类广义变分不等式的解.因为这类广义变分不等式包括古典变分不等式和相补问题作为特殊例子,因此本文统一了以前一些相关结果.

关键词：广义变分不等式广义投影柯西列逆强g-单调映射连续性

Higher Order Strongly Biconvex Functions and Biequilibrium Problems

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Vanadium based XVO3 (X=Na, K, Rb) as promising thermoelectric materials: First-principle DFT calculations

Advances in Linear Algebra & Matrix Theory（线性代数与矩阵理论研究进展） 2021年第2期

作者： muhammad aslam noor Khalida Inayat noor

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Chinese Physics B 2020年第9期29卷 443-449页

作者： N A noor Nosheen Mushahid aslam Khan Nessrin AKattan Asif Mahmood Shahid MRamay Department of Physics University of LahoreLahore 54000Pakistan Physics Department KFUEITRahim Yar KhanPunjabPakistan Department of Physics Faculty of ScienceTaibah UniversityMedinaSaudi Arabia College of Engineering Chemical Engineering DepartmentKing Saud University RiyadhRiyadh 11451Saudi Arabia Department of Physics and Astronomy College of ScienceKing Saud University RiyadhRiyadh 11451Saudi Arabia

We investigate structural,mechanical,thermodynamic,and thermoelectric properties of vanadium-based XVO3(X=Na,K,Rb)materials using density functional theory(DFT)based *** structural and thermodynamic stabilities are probed by the tolerance factor(0.98,1.01,and 1.02)with the negative value of enthalpy of *** properties are analyzed in the form of Born stability criteria,ductile/brittle nature(Poisson and Pugh's ratios)and anisotropy *** explore the electronic transport properties,we study the electrical conductivity,thermal conductivity,Seebeck coefficient and power factor in terms of chemical potential and *** values of Seebeck coefficient at room temperature may find the potential of the studied perovskites in thermo-electrics devices.

关键词： density functional theory Born stability criteria Seebeck coefficient power factor

Effects of bismuth on structural and dielectric properties of cobalt-cadmium spinel ferrites fabricated via micro-emulsion route

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Chinese Physics B 2019年第8期28卷 408-416页

作者： Furhaj Ahmed Sheikh muhammad Khalid muhammad Shahzad Shifa H M noor ul Huda Khan Asghar Sameen aslam Ayesha Perveen Jalil ur Rehman muhammad Azhar Khan Zaheer Abbas Gilani Department of Physics Balochistan University of Information TechnologyEngineering & Management SciencesQuetta 87300Pakistan Department of Physics Government College UniversityFaisalabad 38000Pakistan Department of Physics The Islamia University of Bahawalpur 63100Pakistan

Spinel ferrites have a significant role in high-tech *** the present work nano-crystalline ferrites having general formula Co0.5Cd0.5BixFe2-xO4 with(x=0.0,0.05,0.1,0.15,0.2,and 0.25)are synthesized via micro-emulsion *** x-ray diffraction(XRD)studies discover the FCC spinel *** size is calculated in a range of 11 nm-15 *** parameter calculations are reduced due to its substitution which leads to the exchange of large ionic radius of Fe^3+for small ionic radius of Bi^3+.The x-ray density is analyzed to increase with *** transform infrared spectroscopy(FTIR)is performed to analyze absorption band *** two absorption bands are observed in a range of 400 cm^-1-600 cm^-1,and they are the characteristic feature of spinel ***-gravimetric analysis(TGA)reveals the total weight loss of nearly 1.98%.Dielectric analysis is carried out by impedance analyzer in a frequency span from 1 MHz to 3 GHz by using the Maxwell Wagner *** studies reveal the decrease of dielectric *** alternating current(AC)conductivity exhibits a plane behavior in a low frequency range and it increases with the applied frequency *** is attributed to the grain effects in a high frequency range or may be due to the reduction of *** and imaginary part of impedance show the decreasing trend which corresponds to the grain boundary *** imaginary modulus shows the occurrence of peak that helps to understand the interfacial ***-Cole graph shows a single semicircle which confirms that the conduction mechanism is due to the grain boundaries at low *** studies reveal the applicability of these ferrites in high frequency equipment,microwave applications,high storage media,and semiconductor devices.

关键词： Co-ferrite nanocrystalline ferrites XRD microemulsion dielectric properties

Isolation and Identification of Multi-Drug Resistant Strains of Non-Lactose Fermenting Bacteria from Clinical Isolates

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Open Journal of Medical Microbiology 2014年第2期4卷 115-123页

作者： Minhas Akbar muhammad Zahid Pir Asmat Ali Aftab Alam Sthanadar Mudassir Shah Iram Alam Sthanadar muhammad Kaleem muhammad aslam Khayyam Zahirullah Syeda Mahreen Ul Hassan noor Jehan muhammad Ismail Khan Department of Microbiology Shaheed Benazir Bhutto Women University Peshawar Pakistan Department of Zoology Islamia College University Peshawar Pakistan Department of Zoology Islamia College University Peshawar Pakistan Department of Zoology and Animal Sciences Post Graduate College Dargai Malakand Pakistan Department of Zoology Islamia College UniversityPeshawar Pakistan Government Degree College Dara Adam Kheil FR Kohat Pakistan Lady Reading Hospital Peshawar Pakistan

Purpose: We studied the drug resistance of different microbes from clinical isolates. The morphological characteristics of bacteria were observed through culture characteristics and by carrying out gram staining techniques while the biochemical characteristics of bacteria were carried out by biochemical test. Methods: A total of 324 samples were collected from suspected patients visiting different hospitals at district Peshawar. For morphological identification, samples of clinical isolates were analyzed by blood agar, MacConkey agar and Eosine Methylene Blue, identified by gram staining and characterized by different biochemical tests. Antibiotic Sensitivity test by Modified Kirby-Bauer Disc diffusion method was used to test the in-vitro susceptibility of the identified isolates to different antibiotics such as Ceftazidime, Ceftazidime, Ceftriaxone, Cefepime and Imipenem. Results: These resistant non-lactose fermenting gram negative bacteria were isolated from samples of pus/wound (33.30%, n = 108/324), blood (33.30%, n = 108/324), urine (23.30%, n = 75/324) and from ascetic/pleural fluids (10.20%, n = 33/324). The study revealed that the percentage of non-fermenting bacterial infection was higher in females (53%) as compared to males (47%) along with higher infection observed in the age group of 11 - 30 years. Pseudomonas aeroginosa showed high resistance against Cefepime (88.80%), followed by Cefoperazone (55.50%), Ceftazidime (48.10%), Ceftriaxone (33.30%). Imipenem was active with low resistance (7.40%). More resistance was seen in Morganella morganii against Imipenem (66.70%) followed by Cefoperazone (55.50%), Ceftriaxone (55.50%). Cefepime showed low resistance (11%). Multi-drug resistant Proteus mirabillis was highly resistance to Ceftriaxone (74.07%), followed by Cefepime (59.20%), Cefoperazone (44.40%) and low resistance for Imipenem (25.90%). Salmonella typhi demonstrated high resistance against Imipenem (74.07%), followed by Ceftriaxone (40.70%), Ceftazi

关键词： Multidrug Resistant Non-Lactose Fermenting Gram Negative Bacteria Disc Diffusion Technique