In:
Mathematical Methods in the Applied Sciences, Wiley, Vol. 42, No. 14 ( 2019-09-30), p. 4688-4711
Abstract:
We prove representation results for solutions of a time‐fractional differential equation involving the discrete fractional Laplace operator in terms of generalized Wright functions. Such equations arise in the modeling of many physical systems, for example, chain processes in chemistry and radioactivity. Our focus is in the problem , where 0 〈 β ≤ 2, 0 〈 α ≤ 1, , (−Δ d ) α is the discrete fractional Laplacian, and is the Caputo fractional derivative of order β . We discuss important special cases as consequences of the representations obtained.
Type of Medium:
Online Resource
ISSN:
0170-4214
,
1099-1476
Language:
English
Publisher:
Wiley
Publication Date:
2019
detail.hit.zdb_id:
1478610-2
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