This paper deals with a newly born fractional derivative and integral on time scales. A chain rule is derived, and the given indefinite integral is being discussed. Also, an application to the traffic flow problem with a fractional Burger's equation is presented.
Time–Space Fractional Burger's Equation on Time Scales
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 15, 2015; final manuscript received November 10, 2015; published online February 9, 2017. Assoc. Editor: Gabor Stepan.
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Neamaty, A., Nategh, M., and Agheli, B. (February 9, 2017). "Time–Space Fractional Burger's Equation on Time Scales." ASME. J. Comput. Nonlinear Dynam. May 2017; 12(3): 031022. https://doi.org/10.1115/1.4032258
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