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2018 Nonlocal initial value problems for Hadamard-type fractional differential equations and inclusions
Bashir Ahmad, Sotiris K. Ntouyas
Rocky Mountain J. Math. 48(4): 1043-1068 (2018). DOI: 10.1216/RMJ-2018-48-4-1043

Abstract

In this paper, we study initial value problems of fractional differential equations and inclusions of Hadamard type, supplemented with nonlocal conditions. Some new existence and uniqueness results are obtained by using fixed point theorems for single valued and multi-valued maps. Examples illustrating the main results are also presented.

Citation

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Bashir Ahmad. Sotiris K. Ntouyas. "Nonlocal initial value problems for Hadamard-type fractional differential equations and inclusions." Rocky Mountain J. Math. 48 (4) 1043 - 1068, 2018. https://doi.org/10.1216/RMJ-2018-48-4-1043

Information

Published: 2018
First available in Project Euclid: 30 September 2018

zbMATH: 06958768
MathSciNet: MR3859747
Digital Object Identifier: 10.1216/RMJ-2018-48-4-1043

Subjects:
Primary: 34A08, 34A12, 34A60, 34B15

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 4 • 2018
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