Initial value/boundary value problem for composite fractional relaxation equation

G. Mophou, S. Tao and C. Joseph

Applied Mathematics and Computation, 2015, vol. 257, issue C, 134-144

Abstract: We consider initial value/boundary value problem for composite fractional relaxation equation involving Caputo fractional derivative of order 0<β<1. We prove by means of change of variable that this problem is reduced to initial value/boundary value problem for fractional diffusion equation involving Riemann–Liouville fractional derivative of order β=1-α. Then by means of eigenfunctions expansions, we establish the existence and uniqueness of solution.

Keywords: Riemann–Liouville fractional derivative; Caputo fractional derivative; Initial value/boundary value problem; Symmetric uniformly elliptic operator (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:134-144

DOI: 10.1016/j.amc.2014.09.081

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