3,986 research outputs found
A Fractional Lie Group Method For Anomalous Diffusion Equations
Lie group method provides an efficient tool to solve a differential equation.
This paper suggests a fractional partner for fractional partial differential
equations using a fractional characteristic method. A space-time fractional
diffusion equation is used as an example to illustrate the effectiveness of the
Lie group method.Comment: 5 pages,in pres
Lie group classifications and exact solutions for time-fractional Burgers equation
Lie group method provides an efficient tool to solve nonlinear partial
differential equations. This paper suggests a fractional Lie group method for
fractional partial differential equations. A time-fractional Burgers equation
is used as an example to illustrate the effectiveness of the Lie group method
and some classes of exact solutions are obtained.Comment: 9 pp, accepte
A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
We survey some representative results on fuzzy fractional differential
equations, controllability, approximate controllability, optimal control, and
optimal feedback control for several different kinds of fractional evolution
equations. Optimality and relaxation of multiple control problems, described by
nonlinear fractional differential equations with nonlocal control conditions in
Banach spaces, are considered.Comment: This is a preprint of a paper whose final and definite form is with
'Journal of Computational and Applied Mathematics', ISSN: 0377-0427.
Submitted 17-July-2017; Revised 18-Sept-2017; Accepted for publication
20-Sept-2017. arXiv admin note: text overlap with arXiv:1504.0515
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