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

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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