Islamia College University

About: Islamia College University is a education organization based out in Peshawar, Pakistan. It is known for research contribution in the topics: Density functional theory & Band gap. The organization has 645 authors who have published 1446 publications receiving 17074 citations. The organization is also known as: Islamia College Peshawar & ICU.

Numerical Solution of Fractional-Order Fredholm Integrodifferential Equation in the Sense of Atangana–Baleanu Derivative

Abstract: In the present article, our aim is to approximate the solution of Fredholm-type integrodifferential equation with Atangana–Baleanu fractional derivative in Caputo sense. For this, we propose a method based on Laplace transform and inverse LT. In our numerical scheme, the given equation is transformed to an algebraic equation by employing the Laplace transform. The reduced equation will be solved in complex plane. Finally, the solution of the given problem is obtained via inverse Laplace transform by representing it as a contour integral. Then, the trapezoidal rule is used to approximate the integral to high accuracy. We have considered linear and nonlinear fractional Fredholm integrodifferential equations to validate our method.

Tailoring the microwave dielectric properties of Sr0.6Ca0.4LaAlO4 ceramic by TiO2 addition

Abstract: Sr0.6Ca0.4LaAlO4 ceramic was fabricated via solid-state sintering route and the effect of TiO2 addition on its microwave dielectric properties was investigated. Sr0.6Ca0.4LaAlO4 formed as the major phase along with LaAlO3 as a minor phase at 1400 °C. However, the concentration of LaAlO3 phase increased with increase in the sintering temperature and it became a major phase at 1475 °C. Maximum density was obtained for the composition with x = 0 (i.e., Sr0.6Ca0.4LaAlO4 ceramics) sintered at 1450 °C for 4 h. The TiO2 addition lowered the maximum densification temperature to 1400 °C from 1450 °C. The microwave dielectric properties varied linearly with increasing the volume fraction of TiO2 (x value). Relative permittivity (er) increased from 20.7 to 31.1, Qufo decreased from 95,250 to 65,000 GHz, and τf was tuned through zero and increased from − 29.5 to + 25.4 ppm/°C with increase in the x value from 0 to 0.2. In the present study, er ≈ 24.8, Qufo ≈ 83,500 GHz, and a near-zero τf ≈ − 2.5 ppm/°C was obtained for the composition with 10wt% addition of TiO2.

Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative

Abstract: The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and in financial mathematics. In this study, we aim to approximate the solution of a fractional Riccati equation of order with Atangana–Baleanu derivative (ABC). Our numerical scheme is based on Laplace transform (LT) and quadrature rule. We apply LT to the given fractional differential equation, which reduces it to an algebraic equation. The reduced equation is solved for the unknown in LT space. The solution of the original problem is retrieved by representing it as a Bromwich integral in the complex plane along a smooth curve. The Bromwich integral is approximated using the trapezoidal rule. Some numerical experiments are performed to validate our numerical scheme.

Design Optimization of Electromagnetic Devices using an Improved Quantum inspired Particle Swarm Optimizer

Abstract: Quantum inspired particle swarm optimization (QPSO) is widely used global convergence algorithm for complex design problems. But it may trap into local optima due to premature convergence because of insufficient diversity at the later stage of search process. In this regard, to intensify the QPSO performance in preventing premature convergence to local optima. This work presents a novel QPSO approach using student t probability distribution method with mutation operator on particle with global best position. In addition, a new dynamic control parameter is proposed to tradeoff between the exploration and exploitation searches. The proposed method will intensify the improvement in its convergence behavior and solution quality. The proposed improve QPSO called IQPSO is tested on an electromagnetic design problem namely, the TEAM workshop benchmark problem 22. The experimental results showcase the merit and efficiency of the proposed method.