Remarks on a simple fractional-calculus approach to the solutions of the bessel differential equation of general order and some of its applications

Authors:
Pin-Yu Wang;Shy-Der Lin;H. M. Srivastava
Affiliations:
Department of Mechanical Engineering Nan-Ya Institute of Technology Chung-Li 32034, Taiwan, R.O.C. and Department of Applied Mathematics Chung Yuan Christian University Chung-Li 32023, Taiwan, R.O ...;Department of Applied Mathematics Chung Yuan Christian University Chung-Li 32023, Taiwan, R.O.C.;Department of Mathematics and Statistics University of Victoria Victoria, British Columbia V8W 3P4, Canada
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

The Mackey-Glass equation, dNdt=r(t)N(g(t))1+N(g(t))^@c-b(t)N(t), is considered, with variable coefficients and a nonconstant delay. Under rather natural assumptions all solutions are positive and bounded. Persistence and extinction conditions are presented ...