Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

On a new definition of the fractional difference


Authors: Henry L. Gray and Nien Fan Zhang
Journal: Math. Comp. 50 (1988), 513-529
MSC: Primary 39A12; Secondary 26A33, 39A10
MathSciNet review: 929549
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Abstract: A new definition of the fractional difference is introduced. Many properties based on this definition are established including an extensive exponential law and the important Leibniz rule. The results are then applied to solving second-order linear difference equations.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1988-0929549-2
Keywords: Fractional difference, backward difference operator, Leibniz rule, difference equation
Article copyright: © Copyright 1988 American Mathematical Society