This article is cited in 1 paper

Inverse problems for evolution equations with fractional integrals at boundary-value conditions

A. V. Glushak

Belgorod State University

Abstract: The following problem is considered: to find a solution and a term of a first-order differential equation in a Banach space if the initial-value condition and an excessive condition containing the fractional Riemann–Liouville integral are given. We show that the solvability of the considered problem depends on the distributions of zeroes of the Mittag-Leffler function.

UDC: 517.983

 English version: Journal of Mathematical Sciences, 2010, 164:4, 518–530

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