Oscillation Theorems for Fractional Order Neutral Differential Equations
Journal Title: Journal of Applied Computer Science & Mathematics - Year 2016, Vol 10, Issue 22
Abstract
The purpose of this paper is to study the oscillation of the fractional order neutral differential equation π«π πΆ[π(π)[π«π πΆ(π(π) + π(π)π(π(π)))]πΈ] + π(π)ππΈ(π(π)) = π, where π«π πΆ(β ) is a modified Riemann-Liouville derivative. The obtained results are based on the new comparison theorems, which enable us to reduce the oscillatory problem of ππΆ-order fractional differential equation to the oscillation of the first order equation. The results are easily verified
Authors and Affiliations
V. GANESAN, KUMAR M. SATHISH
Keywords
Related Articles
- EP ID EP446594
- DOI 10.4316/JACSM.201602007
- Views 322
- Downloads 0
A Formal Verification Model for Performance Analysis of Reinforcement Learning Algorithms Applied to Dynamic Networks
Routing data packets in a dynamic network is a difficult and important problem in computer networks. As the network is dynamic, it is subject to frequent topology changes and is subject to variable link costs due to cong...
Study of Complexities in Bouncing Ball Dynamical System
Evolutionary motions in a bouncing ball system consisting of a ball having a free fall in the Earthβs gravitational field have been studied systematically. Because of nonlinear form of the equations of motion, evolutions...
Template Matching of Colored Image Based on Quaternion Fourier Transform and Image Pyramid Techniques
βTemplate matching method is one of the most significant object recognition techniques and it has many applications in the field of digital signal processing and image processing and it is the base for object tracking in...
Novel Kernel to Diagnose Dermatological Disorders
Development of computer aided system to diagnose dermatological disorders works as a second opinion when skin diseases have very little differences in clinical features. Support Vector Machine (SVM) is a good classifier...
Reduced Differential Transform Method for Exact Solution of Parabolic and Hyperbolic Partial Differential Equations
Aim of the paper is to obtain solution of parabolic, elliptical and coupled partial differential equation using Reduced Differential Transform Method (RDTM). The results are compared with solution obtained by other metho...