Special Issue "Recent Trends in Computational Methods for Differential Equations"

Submission Deadline: 01 June 2021
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Guest Editors
Dr. Hijaz Ahmad, University of Engineering and Technology Peshawar, Pakistan / International Telematic University Uninettuno, Italy.
Dr. M. Atif, King Saud University, Saudi Arabia.
Dr. Ali Akgül, Siirt University, Turkey.
Dr. Zareen A Khan, Princess Nourah bint Abdulrahman University, Saudi Arabia.
Dr. Saima Rashid, Government College University, Pakistan.

Summary

Fractional calculus has been an important area of applied mathematics in the last few decades. The modeling of real phenomena with fractional derivative and fractional integral delivers better results than classical orders. Some interesting applications can be traced in modeling some physical phenomena, especially signal processing, electronics, the damping viscoelasticity, communication, genetic algorithms, robotics, transport systems, chemistry, biology, physics and finance. Several researchers are working on some important developments and contributions in the field of fractional calculus. Due to its intriguing uses, fractional calculus is a significant area of research for most analysts and researchers and the study of fractional order partial differential equations (PDEs) have received particular interest from numerous researchers. In light of this, various linear and nonlinear fractional PDE has been solved using a variety of methods. On the other hand, fractional derivatives can be utilized to model a variety of interdisciplinary problems. However, it is hard to find exact solutions of these types fractional-order differential equations. Therefore, numerical and approximate methods can be used for its treatment.

This Special Issue deals with the recent advances in numerical techniques for partial differential equations of integer order as well as fractional-order, especially in science and engineering, and will accept high-quality papers having original research results.


Keywords
• Fractional Differential Equations
• Fractional Difference Equations
• Fractional Functional Differential Systems
• New analytical and numerical methods for fractional differential equations
• Fractals and related topics
• Fractional Impulsive Systems
• Fractional Uncertain Systems
• Fuzzy differential equations and their applications
• Fractal signal processing and applications
• Fractional Control Problem
• Fractional Modelling to Real-World PhenomenaFractal Derivatives

Published Papers
  • Exact Analysis of Second Grade Fluid with Generalized Boundary Conditions
  • Abstract Convective flow is a self-sustained flow with the effect of the temperature gradient. The density is non-uniform due to the variation of temperature. The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by mass transfer process; for instance condensation, evaporation and chemical process. Due to the applications of the heat and mass transfer combined effects in different field, the main aim of this paper is to do comprehensive analysis of heat and mass transfer of MHD unsteady second-grade fluid in the presence of time dependent generalized boundary conditions. The… More
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  • Multi-Model Fuzzy Formation Control of UAV Quadrotors
  • Abstract In this paper, the formation control problem of a group of unmanned air vehicle (UAV) quadrotors is solved using the Takagi–Sugeno (T–S) multi-model approach to linearize the nonlinear model of UAVs. The nonlinear model sof the quadrotor is linearized first around a set of operating points using Taylor series to get a set of local models. Our approach’s novelty is in considering the difference between the nonlinear model and the linearized ones as disturbance. Then, these linear models are interpolated using the fuzzy T–S approach to approximate the entire nonlinear model. Comparison of the nonlinear and the T–S model shows… More
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